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 can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of 3 to 6?

Back

The ratio of 3 to 6 can be simplified to 1:2, which is an equivalent ratio.

Front

If the ratio of boys to girls in a class is 4:5, what is the equivalent ratio if there are 8 boys?

Back

If there are 8 boys, the equivalent ratio of boys to girls is 8:10.

Front

Are the ratios 2:3 and 4:6 equivalent?

Back

Yes, the ratios 2:3 and 4:6 are equivalent because 2 multiplied by 2 equals 4 and 3 multiplied by 2 equals 6.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.

Front

Can you give an example of two non-equivalent ratios?

Back

An example of two non-equivalent ratios is 1:2 and 2:5. They do not express the same relationship.

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you would need 6 cups of sugar to maintain the equivalent ratio of 2:3.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 1:2 is equivalent to the fraction 1/2.