Convert fountain to integers by eliminating the denominators.Our two fractions have actually unlike denominators so we discover the Least usual Denominator and rewrite our fountain as essential with the common denominatorLCD(5/1, 25/8) = 8We now have:
Our 2 fractions now have like denominators so we deserve to multiply both by 8 to remove the denominators.We then have:
Try to minimize the ratio more with the greatest typical factor (GCF).The GCF of 40 and also 25 is 5Divide both state by the GCF, 5:40 ÷ 5 = 825 ÷ 5 = 5The proportion 40 : 25 can be lessened to lowest state by splitting both terms by the GCF = 5 :


Calculator Use

Use this calculator to leveling ratios of the form A : B. A or B deserve to be whole numbers, integers, decimal numbers, fountain or combined numbers. They can be different types, because that example, one portion and one decimal. The ratio values deserve to be optimistic or negative.

This calculator simplifies ratios by convert all worths to totality numbers climate reducing the whole numbers to lowest terms making use of the greatest usual factor (GCF). The complete solution mirrors all work and the procedures to obtain a ratio right into simplest form.

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What is a Ratio?

A ratio is a comparison of the value of 2 numbers. The ratio A : B is review as "A to B" and describes the loved one proportion of two amounts.

How to simplify a ratio A : B as soon as A and also B are both whole numbers

list the factors of A list the factors of B divide A and also B each by the GCF use the whole number outcomes to rewrite the ratio in simplest form

If the GCF = 1 then the proportion is currently in simplest form.

How to leveling a proportion A : B as soon as A and B are not totality numbers, in this order

If A or B space decimal numbers multiply both worths by the same variable of 10 the will get rid of all decimal areas If one worth is a fraction and the various other a totality number, alleviate the fraction to a entirety number if you deserve to or rotate the entirety number right into a fraction by giving it a denominator the 1. If both A and also B are fractions and have like denominators, main point both fountain by the denominator to remove it and you space left v two whole numbers

Example: simplify the ratio 6 : 10

The components of 6 are: 1, 2, 3, 6 The components of 10 are: 1, 2, 5, 10 then the greatest typical factor the 6 and also 10 is 2 divide both terms by 2 6 ÷ 2 = 3 10 ÷ 2 = 5 Rewrite the ratio using the results. The simplified proportion is 3 : 5. 6 : 10 = 3 : 5 in simplest type

Example: simplify the ratio 8 : 36

The factors of 8 are: 1, 2, 4, 8 The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 The greatest typical factor the 8 and also 36 is 4 divide both terms by 4 8 ÷ 4 = 2 36 ÷ 4 = 9 Rewrite the ratio using the results. The simplified proportion is 2 : 9. 8 : 36 = 2 : 9 in simplest type

Example: leveling the proportion 3 : 8

The factors of 3 are 1, 3 The components of 8 are: 1, 2, 4, 8 The greatest usual factor the 3 and also 8 is 1 divide both terms by 1 3 ÷ 1 = 3 8 ÷ 1 = 8 Rewrite the proportion using the results. The proportion 3 : 8 is currently simplified.

You deserve to conclude the if the greatest usual factor is 1 climate the ratio is already in easiest form.

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Related Calculators

To to compare multiple ratios view our ratio Calculator.

To simplify a fraction into a reduced portion or mixed number usage our Simplifying fountain Calculator.