Convert fountain to integers by removed the denominators.Our 2 fractions have unlike denominators so we uncover the Least typical Denominator and also rewrite our fountain as vital with the usual 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 mitigate the ratio more with the greatest common factor (GCF).The GCF of 40 and also 25 is 5Divide both terms by the GCF, 5:40 ÷ 5 = 825 ÷ 5 = 5The ratio 40 : 25 deserve to be diminished to lowest state by dividing both state by the GCF = 5 :  ## Calculator Use

Use this calculator to simplify ratios of the kind A : B. A or B have the right to be entirety numbers, integers, decimal numbers, fractions or blended numbers. They can be different types, because that example, one portion and one decimal. The proportion values have the right to be optimistic or negative.

This calculator simplifies ratios by convert all worths to entirety numbers then reducing the whole numbers to lowest terms utilizing the greatest common factor (GCF). The full solution mirrors all work and also the actions to get a ratio right into simplest form.

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### What is a Ratio?

A proportion is a comparison of the value of two numbers. The proportion A : B is read as "A to B" and also describes the family member proportion of two amounts.

## How to leveling a ratio A : B once A and B are both totality numbers

perform the components of A perform the components of B divide A and B each by the GCF use the whole number results to rewrite the proportion in simplest form

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

## How to simplify a ratio A : B once A and also B space not entirety numbers, in this order

If A or B room decimal number multiply both worths by the same factor of 10 that will remove all decimal places If one value is a fraction and the various other a whole number, minimize the fraction to a entirety number if you have the right to or revolve the entirety number into a fraction by providing it a denominator the 1. If both A and also B room fractions and also have favor denominators, main point both fractions by the denominator to get rid of it and also you room left through two entirety numbers

### Example: leveling the proportion 6 : 10

The factors of 6 are: 1, 2, 3, 6 The components of 10 are: 1, 2, 5, 10 then the greatest common factor that 6 and also 10 is 2 divide both state 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: simplify the proportion 8 : 36

The components 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 that 8 and 36 is 4 division both state 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 determinants of 3 space 1, 3 The factors of 8 are: 1, 2, 4, 8 The greatest usual factor the 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 have the right to conclude that if the greatest common factor is 1 climate the ratio is already in most basic form.

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## Related Calculators

To compare multiple ratios watch our ratio Calculator.

To simplify a fraction into a reduced fraction or blended number use our Simplifying fountain Calculator.