Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

Which ratio is equivalent to 3:4?

Back

6:8

Front

Which ratio is equivalent to 1:2?

Back

2:4

Front

Which ratio is equivalent to 10:2?

Back

5:1

Front

Which ratio is equivalent to 9:12?

Back

3:4

Front

Which ratio is equivalent to 10:12?

Back

5:6

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two numbers are reduced to their smallest whole numbers. For example, the simplest form of 8:12 is 2:3.

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to divide both terms of the ratio by their greatest common factor (GCF) to get the smallest equivalent ratio.

Front

If a ratio is 4:5, what is the equivalent ratio if both terms are multiplied by 3?

Back

12:15