Ratio and 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

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

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

Back

B = 12, because 9 is 3/4 of 12.

Front

What is the first step to solve for a missing value in a ratio table?

Back

Identify the known values and set up a proportion based on the equivalent ratios.

Front

How can you check if two ratios are equivalent?

Back

Cross-multiply the ratios; if the products are equal, the ratios are equivalent.

Front

What is the missing number in the ratio table if the ratio is 2:5 and one value is 10?

Back

The missing number is 25, because 10 is 2/5 of 25.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.

Front

If a ratio table shows 4:10, what is the simplified form?

Back

The simplified form is 2:5.