Convert fractions to integers by removed the denominators.Our two fractions have actually unlike platform so we uncover the Least common Denominator and rewrite our fractions as vital with the common denominatorLCD(5/1, 25/8) = 8We now have:
Our two fractions now have actually like platform so we deserve to multiply both by 8 to remove the denominators.We then have:
Try to reduce the ratio more with the greatest typical factor (GCF).The GCF the 40 and 25 is 5Divide both state by the GCF, 5:40 ÷ 5 = 825 ÷ 5 = 5The ratio 40 : 25 have the right to be reduced to lowest state by splitting both terms by the GCF = 5 :


Calculator Use

Use this calculator to simplify ratios that the kind A : B. A or B can be entirety numbers, integers, decimal numbers, fountain or combined numbers. They have the right to be various types, for example, one portion and one decimal. The ratio values can be hopeful or negative.

This calculator simplifies ratios by converting all worths to whole numbers then reducing the whole numbers to shortest terms making use of the greatest usual factor (GCF). The complete solution shows all work and the steps to get a ratio into simplest form.

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What is a Ratio?

A proportion is a to compare of the worth of two numbers. The proportion A : B is check out as "A to B" and describes the relative proportion of two amounts.

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

perform the components of A perform the determinants of B division A and B each by the GCF usage the totality number outcomes to rewrite the ratio in simplest kind

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

How to leveling a proportion A : B as soon as A and also B space not whole numbers, in this order

If A or B are decimal number multiply both worths by the same factor of 10 the will eliminate all decimal locations If one worth is a portion and the various other a entirety number, minimize the fraction to a totality number if you can or turn the totality number into a portion by giving it a denominator that 1. If both A and B are fractions and also have choose denominators, multiply both fountain by the denominator to eliminate it and also you are left with two entirety numbers

Example: simplify the ratio 6 : 10

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

Example: simplify the proportion 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 usual factor that 8 and 36 is 4 divide both terms by 4 8 ÷ 4 = 2 36 ÷ 4 = 9 Rewrite the proportion using the results. The simplified proportion is 2 : 9. 8 : 36 = 2 : 9 in simplest kind

Example: simplify the proportion 3 : 8

The components of 3 room 1, 3 The determinants of 8 are: 1, 2, 4, 8 The greatest typical factor that 3 and also 8 is 1 divide both terms by 1 3 ÷ 1 = 3 8 ÷ 1 = 8 Rewrite the ratio using the results. The ratio 3 : 8 is currently simplified.

You deserve to conclude the if the greatest common factor is 1 then the ratio is currently in easiest form.

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Related Calculators

To to compare multiple ratios view our ratio Calculator.

To simplify a portion into a reduced portion or blended number use our Simplifying fractions Calculator.