Ratios & Ratio Tables

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (a/b), with a colon (a:b), or with the word 'to' (a to b).

Front

What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown value.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find the unknown.

Front

If the ratio of a to b is 3:4, what is the value of b if a = 9?

Back

If a = 9, then b = 12, because 9/3 = 3 and 4 * 3 = 12.

Front

What is the missing number in the ratio table if the ratio is 2:5 and the first value is 8?

Back

The missing number is 20, because 8/2 = 4 and 5 * 4 = 20.

Front

How do you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal.