Convert fountain to integers by remove the denominators.Our 2 fractions have unlike denominators so we uncover the Least typical Denominator and also rewrite our fractions as necessary with the usual denominatorLCD(5/1, 25/8) = 8We now have:
Our two fractions now have actually like platform so we have the right to multiply both through 8 to remove the denominators.We then have:
Try to alleviate the ratio more with the greatest common 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 deserve to be lessened to lowest terms by splitting both terms by the GCF = 5 :
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Calculator Use

Use this calculator to simplify ratios the the form A : B. A or B have the right to be totality numbers, integers, decimal numbers, fountain or blended numbers. They can be different types, for example, one fraction and one decimal. The proportion values can be confident or negative.

This calculator simplifies ratios by converting all worths to totality numbers then reducing the entirety numbers to shortest terms using the greatest usual factor (GCF). The full solution reflects all work and the measures to obtain a ratio into simplest form.

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What is a Ratio?

A ratio is a compare of the worth of 2 numbers. The proportion A : B is read as "A come B" and also describes the loved one proportion of 2 amounts.

How to leveling a proportion A : B when A and B are both entirety numbers

list the determinants of A perform the factors of B divide A and also B every by the GCF use the entirety number results to rewrite the proportion in simplest kind

If the GCF = 1 then the ratio is currently in most basic form.

How to leveling a ratio A : B as soon as A and also B room not totality numbers, in this order

If A or B space decimal number multiply both values by the same factor of 10 that will eliminate all decimal areas If one value is a portion and the other a totality number, mitigate the portion to a whole number if you can or turn the totality number into a fraction by giving it a denominator of 1. If both A and B are fractions and also have favor denominators, multiply both fractions by the denominator to eliminate it and also you space left through two entirety numbers

Example: leveling the ratio 6 : 10

The components of 6 are: 1, 2, 3, 6 The factors of 10 are: 1, 2, 5, 10 then the greatest typical factor of 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 ratio is 3 : 5. 6 : 10 = 3 : 5 in simplest type

Example: leveling the ratio 8 : 36

The factors of 8 are: 1, 2, 4, 8 The determinants of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 The greatest usual factor the 8 and 36 is 4 divide both state 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 factors of 3 room 1, 3 The determinants of 8 are: 1, 2, 4, 8 The greatest usual factor the 3 and also 8 is 1 division both state by 1 3 ÷ 1 = 3 8 ÷ 1 = 8 Rewrite the proportion using the results. The proportion 3 : 8 is already simplified.

You deserve to conclude that if the greatest typical factor is 1 climate the proportion is already in simplest form.

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Related Calculators

To to compare multiple ratios view our proportion Calculator.

To leveling a portion into a reduced fraction or combined number use our Simplifying fractions Calculator.