Convert fountain to integers by remove the denominators.Our two fractions have actually unlike platform so we find the Least usual Denominator and also rewrite our fractions as vital 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 eliminate the denominators.We then have:
Try to alleviate the ratio additional with the greatest usual factor (GCF).The GCF that 40 and also 25 is 5Divide both terms by the GCF, 5:40 ÷ 5 = 825 ÷ 5 = 5The proportion 40 : 25 can be decreased to lowest state by splitting both state by the GCF = 5 :  ## Calculator Use

Use this calculator to leveling ratios of the type A : B. A or B can be whole numbers, integers, decimal numbers, fountain or blended numbers. They deserve to be various types, because that example, one portion and one decimal. The ratio values have the right to be hopeful or negative.

This calculator simplifies ratios by converting all values to entirety numbers then reducing the whole numbers to lowest terms using the greatest typical factor (GCF). The complete solution shows all work and the measures to gain a ratio right into simplest form.

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### What is a Ratio?

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

## How to leveling a ratio A : B when A and also B space both totality numbers

list the factors of A perform the components of B division A and also B every by the GCF use the whole number results to rewrite the ratio in simplest kind

If the GCF = 1 then the proportion is already in most basic form.

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

If A or B room decimal numbers multiply both values by the same element of 10 the will eliminate all decimal locations If one worth is a portion and the other a totality number, reduce the portion to a whole number if you can or rotate the whole number into a fraction by providing it a denominator the 1. If both A and B space fractions and also have prefer denominators, multiply both fractions by the denominator to remove it and you room left v two totality numbers

### Example: simplify the proportion 6 : 10

The components of 6 are: 1, 2, 3, 6 The determinants of 10 are: 1, 2, 5, 10 climate the greatest typical factor that 6 and also 10 is 2 division 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 ratio 8 : 36

The determinants of 8 are: 1, 2, 4, 8 The components of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 The greatest usual factor the 8 and 36 is 4 division both state by 4 8 ÷ 4 = 2 36 ÷ 4 = 9 Rewrite the ratio using the results. The simplified ratio is 2 : 9. 8 : 36 = 2 : 9 in simplest type

### Example: simplify the proportion 3 : 8

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

You can conclude the if the greatest usual factor is 1 climate the ratio is currently in simplest form.

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## Related Calculators

To compare multiple ratios watch our proportion Calculator.

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