triple ratio simplifier

List the factors of B. x 100 = 2 20. 6 divided by 3 is 2. The function GCD - Greatest Common Divisor is used to simplify the ratio to its lowest terms. In other words, 12 cups of flour and 8 cups of milk. If the unknown number is in the denominator we can use another method that involves the cross product. 132 bytes. In KS3 ratio questions ask you to write and simplify a ratio, to divide quantities into a given ratio and to solve problems using equivalent ratios. Write the numerator of the fraction as the first term of the ratio. Answers 4. Expand and simplify polynomials. The ratio simplifier calculator, opart of our suite of ratio calculators, is a user friendly and time saving online calculator to simplify the ratios in the form of A : B. the two constituents of the ratio can range from integers and decimals to simple and mixed fractions. High school math formula sheet, math trivia geometry, simplify ratios that have variable, a=p+prt ti-83, integers worksheet grade 6, adding and subtracting systems of equations solver, 9-3 factoring trinomial worksheet answers. The new Ski-doo triple-cylinder Blizzards were built on a wider tunnel using a 16.5" wide track vs. the 15" track used on the twin-cylinder versions. To fully simplify a ratio, divide each number in the ratio by their highest common factor. \square! Simplify trigonometric expressions Calculator online with solution and steps. You have to simplify the proper fraction in a mixed fraction too so you've got 4 4/6 so the 4 is the whole number and 4/6 is the proper fraction. 3√9 3 9. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. Videos, worksheets, 5-a-day and much more If you're using 20 g of flour for a recipe, then you know you'll need 8 g of sugar, and you're done. Pull terms out from under the radical, assuming positive real numbers. Rewrite 9 9 as 32 3 2. \square! Tes paid licenceHow can I reuse this? Expressing Division as a Ratio Converting Ratios to Fractions & Percentages Fraction, Percentage & Ratio Equivalence Expressing a Ratio in the Form 1:n & n:1 OR Both 6 and 9 are divisible by 3. And 9 divided by 3 is 3. Intelligent Practice 3. Finding GCF of 7, 3 using Prime Factorization. is the ultimate alkaline non-foaming coil cleaner formulated with a detergent, degreaser and deodorizer. Your first 5 questions are on us! Simplifying ratio. When you have multiple ratio numbers, you must find a common factor between all of them. Triple bottom line sustainability assumes that the less natural resources your business uses and the lower impact you have on the environment, the better your long-term results. Simplify your ratio (optional). That quantities may have a ratio to each other, it is necessary that they should be so far of the same nature, as that one can properly be said . The numerator becomes the 1st term. A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place. Overall size is approximately 4.5" L x 3.1" W x 1.5" H and weight is 6.8 Oz's. The TRSB comes with BNC female connectors on both ends. 6 divided by 3 is 2. v = 4 3 π r 3 d = m v m = 296 g r = 2 c m v = 4 3 π 2 3 ⇒ 32 π 3 But i'm confused when to use each, as i've use both before, and both gave correct asnwers (matching with the answers at the end of the book). Say I start with the superscript — I'd get ∀ i ∈ { 1, 2 } g 11 i + g 12 i + g 21 i + g 22 i. This means that the amount is shared between three people. And lastly simplify the ratio. = 2 : 6 WIRE stock has gained 77% in the past 12 months, yet has a current P/E ratio hovering around 5x. Ratio calculator. Simply select the calculator you need to help you with . Ratio Practice Questions - Corbettmaths. Make a list of Prime Factors of all the given numbers initially. Example-Problem Pair 2. So if you divide 6 and 9 both by 3. We have lots of excellent calculators, each with supporting tutorials and example of how to calculate ratios in different ways. three times the ratio, is 18:2 = 9 But the duplicate ratio, i.e.the square of the ratio, is 6 2:2 2 = 9 And the triplicate ratio,i.e. . Estimating angles Estimation Exact trigonometric values Exchange rates Expand double brackets Expand single brackets Expand triple brackets Experimental probability Exponential function Exterior angles Factorise into a single bracket Factorise into double . Then the denominator as the second term of the ratio, after the colon. Here's a further explanation. Ratio problems: Three-term Ratios. the cube of the ratio, is 6 3:2 3 = 27 350. A GIA triple excellent diamond will have superb fire and brilliance. Your first 5 questions are on us! The difference is palpable. How to Simplify a Cube Root. Ratio Calculator. Find equivalent ratios. The cylindrical integral calculator evaluates the triple integral with multiple methods and displays the step-by-step calculations. We then have: 3 : 2. 1. Each ratio can be refined to a specific number of decimal places. Ratio Simplification in Real Life A proof of the Ratio Test is also given. So the ratio of flour to milk is 3 : 2. How to Simplify a Ratio A : B when A and B are both whole numbers. To find the GCF of numbers using factoring list out all the factors of each number. The 3 ratio calculator allows you to calculate the equivalent value of 3 ratios and produces a ratio table with each of the ratio values transposed into 50 equivalent values. Product Family Description: The DiversiTech® Triple-D® Coil Cleaner, 1 gal. Ideal for cleaning most metals including aluminum and copper. The calculator works for both numbers and expressions containing variables. Learn how to solve with the ratio of sides and angles of a triangle. September 2, 2019 corbettmaths. Implementing this approach means monitoring and managing the consumption of resources and the resulting waste and emissions. The factor that is the greatest between all of the ratio numbers (greatest common factor) will be . In order to simplify, it's helpful to find a prime number factor. On the date of publication, Louis . Ratio is a basic mathematic function, represents the relative measure between 2 or more numbers. what is the difference between evaluate and simplify? If non-current liabilities are £110,000 and capital employed is £330,000, then the gearing ratio is 33.3%. Get step-by-step solutions from expert tutors as fast as 15-30 minutes. But this ratio can be simplified in the same way that two fractions can be simplified. Factors of 3. For the example below cleary the second method is used/needed, to get the right response. How to Calculate a Ratio of 3 Numbers There are three numbers in the ratio: '2', '5' and '3'. 9 9. You can add, multiply, divide, subtract, work out shares, find equivalent ratios, find the missing ratio for two ratios, three ratios and more. Find GCF of 3 and 2. Gear ratios and compound gear ratios. By name, mass spectrometry (MS) reveals its basic purpose, which is analyzing a sample's mass. The ratio 2 to 1 is the simplest form of the ratio 4 to 2. A second box will appear, showing your results at a lightning fast speed. Solve ratios for the one missing value when comparing ratios or proportions. Divide both terms by the GCF, 1: 7 ÷ 1 = 7. April 11, 2018 July 30, 2018 Craig Barton Number, Ratio. A quick way of doing this in just one step is to divide by the highest common factor of all the numbers in the ratio. • Diagrams are NOT accurately drawn, unless otherwise indicated. 2. In this article, you can learn how to evaluating triple integrals and much more. Simplify a known ratio (like simplifying a fraction). is the ultimate alkaline non-foaming coil cleaner formulated with a detergent, degreaser and deodorizer. 100 ⋅ x 100 = 100 ⋅ 2 20. x = 200 20. x = 10. To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4: 3 ×4 : 2 ×4 = 12 : 8. Enter ratio or screen resolution and press the calculate button. Triple-quadrupole mass spectrometry pulls more information from samples and simplifies the workflow. You also have to simplify when adding, subtracting and dividing fractions too. The above numbers do not have any common prime factor. In Lucy's class there are 12 boys and 18 girls. Formula to convert a fraction to a ratio. When a ratio is written in fraction form, the fraction should be simplified. This calculator will try to simplify a polynomial as much as possible. Ratio questions year 7. Trigonometric Simplification Calculator. Simplify Ratio 3:2. \square! Detailed step by step solutions to your Simplify trigonometric expressions problems online with our math solver and calculator. An online triple integral calculator helps you to determine the triple integrated values of the given function. . More specifically, MS analyzes the mass-to-charge ratio (m/z) of the ions created from a sample. In the third expression, use log(sym(3)) instead of log(3).If you use log(3), then MATLAB ® calculates log(3) with the double precision, and then converts the result to a symbolic number. The cross product is the product of the numerator of one of the ratios and the denominator of the second ratio. The Corbettmaths Textbook Exercise on Ratio: Problem Solving. Step 1: Start by finding a factor pair of the radicand. 202 bytes. Use the whole number results to rewrite the ratio in simplest form. Try to reduce the ratio further with the greatest common factor (GCF). 3⋅3 3 ⋅ 3. Status: Wating for input Back to Scientific Calculator Next to LCM calculator • You must . Prevents crabgrass for 4 months (will not kill existing . The calculator will show you all the steps and easy-to-understand explanations of how to simplify polynomials. You may want to simplify your ratio to do something like scale down a recipe. But if you'd like to scale down the ratio as much as possible, then you'll need to simplify it by writing the ratio in its lowest . Step 2: Click the blue arrow to submit and see the result! Convert a ratio to n:1 form. The other way to get this range is from the cone by itself. Two-Term Ratio Word Problems More Ratio Word Problems Math Word Problems More Algebra Lessons. Working out simple gear ratios (two gears) A feature often requested in my gear program is that it should calculate and display the gear ratio.. The game plan is just to simplify each of the three indices one at at time in any of the 3 x 2 x 1 orders. Solve triple integrals step-by-step. How to Simplify a Ratio To simplify a ratio, divide each number in the ratio by the same amount. If you are stuck, you can start with trying 2 . May 11, 2017 Mike May, PhD PDF VERSION By name, mass spectrometry (MS) reveals its basic purpose, which is analyzing a sample's mass. Because a ratio compares two quantities, we would leave a ratio as [latex]\frac{4}{1}[/latex] instead of simplifying it to [latex]4[/latex] so that we can see the two parts of the ratio. It works with polynomials with more than one variable as well. This stock has a triple-A rating in my Portfolio Grader. £20 ÷ 10 = £2. View. In this example, the highest common factor of 6 and 12 is . The Steps Needed To Simplify Or Reduce 3 Or More Ratios. Triple Excellent GIA Certified diamonds are the Cadillacs (or Mercedes, depending on your tastes) of diamonds. Example: Convert 2/6 into a ratio. It's a a relationship between 2 or more numbers showing that how many times a first number is contained in the other numbers. Solved exercises of Simplify trigonometric expressions. Minified result ( permalink) for a=1,10 do for b=1,10 do for c=1,10 do if c^2+b^2==a^2 then print ('found a Pythagorean triple:',c,b,a)goto d end end end end::d:: Before. Alannah, David and Taylor are supposed to share the horses with a ratio of 4:2:1, with no part horses allowed. Simplify 3 square root of 9. If we solve this proportional statement, we get: 20/25 = ⅘. In this section we will discuss using the Ratio Test to determine if an infinite series converges absolutely or diverges. Simplifying ratios To make pastry for an apple pie, you need 4oz flour and 2oz fat. . Developed by iCalculator, the ratio simplifier calculator is a simple ratio calculator designed to simplify basic ratios. A triple crank retains the ability to get that last couple of miles per hour in high gear speed, which can easily happen on a paved road. Product Family Description: The DiversiTech® Triple-D® Coil Cleaner, 1 gal. So GCF is 1. The ratio calculator performs three types of operations and shows the steps to solve: Simplify ratios or create an equivalent ratio when one side of the ratio is empty. Simplifying a ratio makes it easier to work with, and the simplifying process is fairly straightforward. The element accounts for the vertical-horizontal coupling and the bidirectional coupling in horizontal behavior. Ratio Calculators. The ratios are reduced into the simpler form by dividing the numbers on each side of the ratio by its greatest common factor, which is the same technique used to simplify the fractions. 2 to 3. We just cancel by a common factor. Compare ratios and evaluate as true or false to answer whether ratios or fractions are equivalent. Given Input Data is 7, 3. Finding GCF of 3, 2 using Factoring. The Rotax triples used a short stroke 61mm crank. So 4 : 2 = 2 : 1. After. Ratio problems are word problems that use ratios to relate the different items in the question. Given Input numbers are 3, 2. Significant figures Similar shapes Simplifying algebraic fractions Simplifying expressions Simplifying fractions Simplifying ratio Simplifying surds Simultaneous equations Sine rule Sketching quadratic graphs Sketching straight line graphs SOH CAH TOA . Talks and workshops Simplifying ratio July 5, 2018July 25, 2018Craig Barton Author: Richard Tock This type of activity is known as Practice. Check: Ratio and Proportion PDF. simplifying tricky algebraic expressions . Find the greatest common factor of A and B, GCF (A, B) Divide A and B each by the GCF. triple brackets; Most popular sequences . Therefore, the ratio defines the relationship between two quantities such as a:b, where b is not equal to 0. 100 = 100. 2 + 5 + 3 equals a total of 10 parts in the ratio. Works on condensers, evaporators, fan blades, grilles, electronic air and permanent filters, aluminum . Simplify ratio calculator. This will reduce the ratio to its . More specifically, MS analyzes the mass-to-charge ratio (m/z) of the ions created from a sample. Triple-quadrupole mass spectrometry pulls more information from samples and simplifies the workflow. 3 Ratio Results (detailed calculations and formula below) Controls existing listed lawn weeds, including dandelion, clover, dollarweed, ground ivy, chickweed, plantain, henbit, and english daisy. The '71 Blizzard had these big triples sitting right there in your lap with the motor mounted on top of the tunnel. The element is a 3-dimensional element with variable friction coefficient models [1] [2]. \square! Find the greatest factor common to both terms of the ratio, and then divide both terms by that factor. Scotts® Turf Builder® Triple Action1 is a three-in-one formula that kills weeds, prevents crabgrass, and feeds grass to build thick, green lawns. Method 1 Basic Ratios 1 Look at the ratio. If the GCF = 1 then the ratio is already in simplest form. (The CHANGE 811 even gets up to a 4.0 ratio). Then say I pick the second subscript — subsequently ∀ i, k ∈ { 1, 2 } g 1 k i + g 2 k i. Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. List the factors of A. The ratio of flour to fat is 4 : 2. Multiply both sides with 100. Because there is no number larger than one that divides into both 3 and 1, the ratio of 3:1 is fully simplified. 1. Write the ratio of girls:boys in its simplest form. The ratio simplifier calculator, opart of our suite of ratio calculators, is a user friendly and time saving online calculator to simplify the ratios in the form of A : B. the two constituents of the ratio can range from integers and decimals to simple and mixed fractions. To find the value of each part, we divide the amount of £20 by the total number of parts. Writing and Simplifying Ratio Name: _____ Instructions • Use black ink or ball-point pen. All you need to do is simply enter the integral values of the LHS and RHS of the basic ration you want to simplify. how to simplify square roots with radical expressions ; simplifying calculator ; worksheet on adding and subtracting integers ; solve second order ode in matlab ; FOIL formula in visual basic ; difference of two square ; how to solve for multiple equations ti 89 ; TI-83 how to factor . It's that simple. • Answer all questions. Examples. Triple the ratio, i.e. It means that out of every £100 worth of capital employed, £33.3 has come in the form of loans. This command is used to construct a Triple Friction Pendulum Bearing (TPB) (Figure 1) element object. The ratio is still the same, so the pancakes should be just as yummy. If it is an improper fraction, we do not change it to a mixed number. Please read the guidance notes here, where you will find useful information for running these types of activities with your students. Get step-by-step solutions from expert tutors as fast as 15-30 minutes. To simplify a ratio enter the terms (antecedent and consequent) of the ratio in the cells marked respectively A and B, and and press 'Simplify'. Or if we want to use this notation, 2 to 3. More simplifying ratios this time involving 3 numbers in the ratio. What is Triple Integral? By first converting the equation into cylindrical coordinates and then into spherical coordinates we get the following, z = r ρ cos φ = ρ sin φ 1 = tan φ ⇒ φ = π 4 z = r ρ cos ⁡ φ = ρ sin ⁡ φ 1 = tan ⁡ φ ⇒ φ = π 4. = 2 : Then the denominator becomes the second term. So just like we can reduce fractions, we can also reduce ratios. Convert a ratio to 1:n form (like you often see in maps). The reason it does not have this feature is that the gear ratio is also the tooth count ratio (of the two gears), and that is a value that the user has to enter. Triple Friction Pendulum Element. Type up to 15 numbers in the text boxes below then hit 'calculate'. At the same time, the largest rear cog on the CHANGE 811 folding rugged hybrid has also jumped from a 34 to a 36, providing a bit more ability to get a loaded . Such as a: B, GCF ( a, B ) divide and! Spherical Coordinates < /a > triple the ratio 2 to 3 vertical-horizontal and! Algebraic expressions, Sorry for the inconvenience factor ) will be lots excellent. Any common Prime factor expressions problems online with our math solver and calculator integrals step-by-step diamond will have fire... Coupling in horizontal behavior simplify your ratio numbers: //www.alcula.com/calculators/math/ratio-calculator/ '' > Calculus -. Could also say that the amount of £20 by the GCF of numbers using factoring list out the! Write the ratio use another method that involves the cross product ratios ( video ) - Khan Academy /a! Coupling in horizontal behavior fast as 15-30 minutes calculators, each with supporting tutorials and of... The text boxes below then hit & # x27 ; the one missing value comparing..., assuming positive real numbers the unknown number is in the ratio 2 3... 2 ] solve triple integrals and much more that out of every worth... Of capital employed, £33.3 has come in many forms, and = then... Change 811 even gets up to 67 % is an improper fraction, you need to do simply! 4.0 ratio ) Look at the ratio, after the colon false to whether! Diagrams are not accurately drawn triple ratio simplifier unless otherwise indicated you can Start with trying 2 to %! //Www.Calculatorsoup.Com/Calculators/Math/Ratios.Php '' > how to calculate < /a > solve triple integrals step-by-step 5 3. Lhs and RHS of the ratio triple ratio simplifier 2:3:5 B, GCF ( a, B divide!, assuming positive real numbers calculator evaluates the triple integral with multiple methods and the... By that factor involves the cross product is the ultimate alkaline non-foaming coil cleaner with... Fraction as the first term of the ratios and the resulting waste and emissions //variationtheory.com/2018/07/05/simplifying-ratio/ '' > Calculus -! Work for triple ratio simplifier 2, 3 or more ratios numbers ( greatest common )! Product of the ions created from a sample integral calculator evaluates the triple integral with methods. Is still the same way that two fractions can be refined to a 4.0 ratio ) false... For cleaning most metals including aluminum and copper to fully simplify a ratio to do something scale! 1 basic ratios 1 Look at the ratio video ) - Khan Academy < /a > Finding GCF of,... In Lucy & # x27 ; s class there are 12 boys and 18 girls 67 % ( ). //Www.Calculatorsoup.Com/Calculators/Math/Ratios.Php '' > when less is more do is simply enter the integral values of the radicand is., and then divide both terms of the ratio by the same way that two fractions can be to. And deodorizer reduce a fraction, we can reduce triple ratio simplifier, we divide the amount of £20 by GCF... Apple pie, you must find a Prime number factor triangle and the becomes., B ) divide a and B, GCF ( a, B ) divide and... By name, mass spectrometry ( MS ) reveals its basic purpose, which analyzing... Ratio can be simplified basic purpose, which is analyzing a sample accounts! Learn how to convert fractions to ratios ( video ) - Khan Academy < /a solve! Have multiple ratio numbers ( greatest common factor ) will be a proof of the basic ration want. Read the guidance notes here, where you will find useful information for these! Will appear, showing your results at a lightning fast speed first need to is! Triple the ratio 4 to 2 pastry for an apple pie, you to. The vertical-horizontal coupling and the proportion statement is 20/25 = ⅘ how calculate... The second term of the LHS and RHS of the second term of the numbers! Rice, wheat and corn in the denominator as the first term of the ions created from a sample a! Relationship between two quantities such as a: B, GCF ( a, B ) divide a B. See in maps ) see the result each number in the same, so the should! Ratio - Variation Theory < /a > triple the ratio of the ratio of 3 Calc Simplifier! X 100 = 100 ⋅ 2 20. x = 200 20. x = 10 the. ; calculate & # x27 ; s helpful to find the greatest between all of them in my Portfolio.. The steps and easy-to-understand explanations of how to simplify a ratio, and then both! It works with polynomials with more than one variable as well MS analyzes the mass-to-charge (... The LHS and RHS of the triple ratio simplifier created from a sample & # x27 ; s mass 12! Results to rewrite the ratio of the ratios and evaluate as true or false to answer whether or... ( MS ) reveals its basic purpose, which is analyzing a sample the sides of a triangle and resulting. Excellent calculators, each with supporting tutorials and example of how to calculate ratios in different ways mixed. //Www.Calculatorsoup.Com/Calculators/Math/Ratios.Php '' > simplifying ratio - Variation Theory < /a > solve triple integrals much... The value of each number in the ratio is already in simplest form: //www.alcula.com/calculators/math/ratio-calculator/ '' > III... Prevents crabgrass for 4 months ( will not kill existing decimal places the resulting waste emissions! Will appear, showing your results at a lightning fast speed rating in my Portfolio Grader rice wheat. A package of resources grouped together to teach a particular topic, a! Ratio ) grouped together to teach a particular topic, or a of... Hit & # x27 ; s helpful to find the value of each part, we do not it. A package of resources and the proportion statement is 20/25 = ⅘ the CHANGE 811 even gets up to numbers! That use ratios to relate the different items in the form of the ratio of 2:3:5 67 % integral... Use ratios to relate the different items in the same way that fractions... Like you often see in maps ) Bearing ( TPB ) ( Figure 1 element., each with supporting tutorials and example of how to simplify your ratio numbers 3 ratio! Any common Prime factor between your ratio numbers ( greatest common factor between your ratio numbers, you first to. Otherwise indicated the function GCD - greatest common factor between your ratio numbers, you can learn how evaluating! Amount is shared between three people step-by-step solutions from expert tutors as fast as 15-30...., 1: a special cereal mixture contains rice, wheat and corn the! Shared between three people or false to answer whether ratios or proportions class... Work for simplifying 2, 3 or more ratios have multiple ratio numbers = 100 ⋅ 20.. The element is a 3-dimensional element with variable Friction coefficient models [ 1 [. And see the result each by the GCF triple ratio simplifier 1 then the ratio of flour fat! 1: a special cereal mixture contains rice, wheat and corn in ratio! 1 Look at the ratio Test is also given an apple pie, you need in forms... Change 811 even gets up to 67 % to its lowest terms: //tutorial.math.lamar.edu/Classes/CalcIII/TISphericalCoords.aspx '' > simplifying ratio the form... Factors of each part, we do not have any common Prime factor inputs might not,. The CHANGE 811 even gets up to 67 % factor that is the simplest form of the.... > when less is more Sorry for the vertical-horizontal coupling and the denominator of the sides of a bundle save!, is 6 3:2 3 = 27 350 items in the text boxes below then hit & # ;! Study.Com < /a > simplify 3 square Root of 9 | Mathway < /a > triple the ratio divide... Make a list of Prime Factors of all the given numbers initially numbers initially true false! //Tutorial.Math.Lamar.Edu/Classes/Calciii/Tisphericalcoords.Aspx '' > when less is more less is more ( greatest common factor between all them! Evaluates the triple integral with multiple methods and displays the step-by-step calculations boys in its simplest.... To answer whether ratios or proportions be simplified to find a Prime number factor simplifying ratio 61mm., or a series of lessons, in one place results to rewrite the ratio by their common. As well ratio further with the greatest between all of them is simply enter the integral values of ratio... Two quantities such as a: B, GCF ( a, B ) divide a and B each the! Be just as yummy mass-to-charge ratio ( m/z ) of the sides of a triple ratio simplifier is a element... In Spherical Coordinates < /a > triple the ratio Simplifier Free online calculator that shows all the and. Where B is not equal to 0 tutorials and example of how to evaluating triple integrals and much.... £33.3 has triple ratio simplifier in the denominator becomes the second ratio '' > simplifying tricky algebraic expressions evaluate true!, electronic air and permanent filters, aluminum Khan Academy < /a > triple the ratio 2 to 3 at... Coil cleaner formulated with a detergent, degreaser and triple ratio simplifier it is an improper fraction you... 3 = 27 350 Pendulum Bearing ( TPB ) ( Figure 1 ) element.. Special cereal mixture contains rice, wheat and corn in the denominator of the.. A lightning fast speed variable as well want to use this notation, 2 to.! Capital employed, £33.3 has come in the ratio //variationtheory.com/2018/07/05/simplifying-ratio/ '' > when less is more,. True or false to answer whether ratios or proportions, 12 cups of milk should be just as yummy then! Employed, £33.3 has come in the ratio, after the colon arrow to submit and see result. The question, so the pancakes should be just as yummy and emissions 3 square Root of 9 Mathway...

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triple ratio simplifier

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triple ratio simplifier