3.3 Equivalent Ratio Tables - Missing Values

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 1:2 and 2:4 are equivalent.

Front

How do you find missing values in a ratio table?

Back

To find missing values in a ratio table, you can use equivalent ratios. If you know one ratio, you can set up a proportion to find the missing value.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

If the ratio of A to B is 2:5, what is B if A is 8?

Back

B = 20. (Using the equivalent ratio, if A is 2, B is 5; if A is 8, B is 20.)

Front

What does it mean to complete a ratio table?

Back

Completing a ratio table means filling in missing values so that all the ratios in the table are equivalent.

Front

If a ratio table shows 10:45, what is the equivalent ratio for 2?

Back

The equivalent ratio is 2:9. (Divide both numbers by 5.)

Front

What is the purpose of a ratio table?

Back

A ratio table helps to organize and compare ratios, making it easier to see relationships and find equivalent ratios.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

If the ratio of C to D is 4:3, what is D if C is 32?

Back

D = 24. (Using the equivalent ratio, if C is 4, D is 3; if C is 32, D is 24.)