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 does a ratio table show?

Back

A ratio table shows pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

If the ratio of A to B is 2:3, what is the value of B if A = 8?

Back

B = 12, because if A = 8, then B = (3/2) * A = (3/2) * 8 = 12.

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 the terms and then solve for the unknown variable.

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 and setting the products equal.

Front

Back

x = 5, because cross-multiplying gives 6 * 20 = 24 * x.

Front

What is the missing value in the ratio table if the ratio is 1:4 and the first value is 3?

Back

The missing value is 12, because 3 * 4 = 12.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross-products are equal.