Convert fractions to integers by eliminating the denominators.Our two fractions have unlike platform so we discover the Least common Denominator and rewrite our fractions as necessary with the usual denominatorLCD(5/1, 25/8) = 8We currently have:
Our 2 fractions now have like platform so we have the right to multiply both through 8 to eliminate the denominators.We then have:
Try to alleviate the ratio more with the greatest common factor (GCF).The GCF of 40 and 25 is 5Divide both state by the GCF, 5:40 ÷ 5 = 825 ÷ 5 = 5The ratio 40 : 25 can be diminished to lowest state by separating both state by the GCF = 5 :

## Calculator Use

Use this calculator to simplify ratios of the form A : B. A or B have the right to be entirety numbers, integers, decimal numbers, fountain or combined numbers. They deserve to be different types, because that example, one fraction and one decimal. The proportion values can be optimistic or negative.

This calculator simplifies ratios by converting all values to entirety numbers then reducing the whole numbers to lowest terms making use of the greatest common factor (GCF). The complete solution mirrors all work and the steps to acquire a ratio into simplest form.

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### What is a Ratio?

A ratio is a to compare of the worth of 2 numbers. The proportion A : B is read as "A to B" and describes the relative proportion of 2 amounts.

## How to simplify a ratio A : B as soon as A and also B space both totality numbers

list the components of A list the determinants of B division A and B every by the GCF use the totality number outcomes to rewrite the proportion in simplest type

If the GCF = 1 climate the ratio is already in easiest form.

## How to simplify a proportion A : B as soon as A and B are not whole numbers, in this order

If A or B space decimal number multiply both worths by the same element of 10 the will remove all decimal places If one value is a fraction and the various other a whole number, mitigate the fraction to a whole number if you can or revolve the entirety number into a fraction by giving it a denominator the 1. If both A and B space fractions and also have favor denominators, main point both fractions by the denominator to eliminate it and also you are left with two totality 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 the 6 and also 10 is 2 division 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 form

### Example: simplify the proportion 8 : 36

The factors of 8 are: 1, 2, 4, 8 The components of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 The greatest typical factor the 8 and 36 is 4 division 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 kind

### Example: simplify the ratio 3 : 8

The factors of 3 room 1, 3 The factors of 8 are: 1, 2, 4, 8 The greatest typical factor that 3 and 8 is 1 division both state by 1 3 ÷ 1 = 3 8 ÷ 1 = 8 Rewrite the ratio using the results. The proportion 3 : 8 is already simplified.

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

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## Related Calculators

To to compare multiple ratios check out our ratio Calculator.

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