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, the ratios 2:3 and 4:6 are equivalent.

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

What does the ratio 4:1 represent in a real-world context?

Back

The ratio 4:1 can represent a comparison of two groups, such as the number of 6th graders to 7th graders at a basketball game, indicating that for every 4 6th graders, there is 1 7th grader.

Front

If there are 8 7th graders and the ratio of 6th graders to 7th graders is 4:1, how many 6th graders are there?

Back

There are 32 6th graders.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

Are the ratios 15:5 and 25:10 equivalent?

Back

Yes, the ratios 15:5 and 25:10 are equivalent because both simplify to 3:1.

Front

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

Back

25:20 is equivalent to 5:4.

Front

What is the ratio of 15 to 25 in simplest form?

Back

The simplest form of the ratio 15:25 is 3:5.

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

For 9 cups of flour, you need 6 cups of sugar, maintaining the ratio of 2:3.

Front

What is the relationship between ratios and fractions?

Back