Question

How do you reduce a ratio?

Answer 1

How to Simplify a Ratio A : B when A and B are both whole numbers

List the factors of A

List the factors of B

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF

Use the whole number results to rewrite the ratio in simplest form

If the GCF = 1 then the ratio is already in simplest form.

How to Simplify a Ratio A : B when A and B are not whole numbers, in this order

If A or B are mixed numbers convert mixed numbers to improper fractions

If A or B are decimal numbers multiply both values by the same factor of 10 that will eliminate all decimal places

If one value is a fraction and the other a whole number, reduce the fraction to a whole number if you can or turn the whole number into a fraction by giving it a denominator of 1.

If both A and B are fractions and have like denominators, multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are fractions and have unlike denominators, find the LCD(A, B) and rewrite the fractions with the LCD as the denominator. Multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are whole numbers, Find the greatest common factor of A and B, GCF(A, B), and divide A and B each by the GCF

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 common factor of 6 and 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 form

Answer 2

Answer:

List the factors of A.

List the factors of B.

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF.

Use the whole number results to rewrite the ratio in the simplest form.

Step-by-step explanation:

I hope this helps!!!