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

Front

What is the ratio of 12 to 20 simplified?

Back

The simplified ratio of 12 to 20 is 3 to 5.

Front

If a recipe calls for 4 cups of sugar for every 5 cups of flour, what is an equivalent ratio?

Back

An equivalent ratio is 8 cups of sugar for every 10 cups of flour.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Front

What is the greatest common factor (GCF) of 20 and 25?

Back

The GCF of 20 and 25 is 5.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys in the class.

Front

Which of the following ratios is equivalent to 5:4?

Back

25:20 is equivalent to 5:4.

Front

What is the relationship between the ratios 4:5 and 8:10?

Back

The ratios 4:5 and 8:10 are equivalent because both can be simplified to the same ratio.

Front

How can you express the ratio of 6th graders to 7th graders if there are 32 6th graders and 8 7th graders?

Back

The ratio can be expressed as 32:8, which simplifies to 4:1.