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 2:3, you can multiply both terms by 2 to get 4:6.

Front

Which ratio is equivalent to 10:100?

Back

1:10

Front

Which ratio is equivalent to 5:1?

Back

10:2

Front

Which ratio is equivalent to 5:7?

Back

25:35

Front

Which ratio is equivalent to 10:30?

Back

1:3

Front

Which ratio is equivalent to 1:1?

Back

3:3

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 number values. For example, the simplest form of 8:12 is 2:3.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar (because 2:3 means for every 2 parts of sugar, there are 3 parts of flour. So, 2/3 of 9 is 6).

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as fractions, and just like equivalent fractions, they represent the same value. For example, the ratio 1:2 is equivalent to the fraction 1/2.