Equivalent Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you create a ratio table?

Back

A ratio table is created by listing pairs of equivalent ratios in a table format, showing how one quantity changes in relation to another.

Front

If a recipe calls for 2 cups of sugar and 3 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 2:3.

Front

How can you find an unknown quantity in a ratio table?

Back

You can find an unknown quantity by using equivalent ratios to set up a proportion and solve for the missing value.

Front

If it takes 2 hours to read 30 pages, how many pages can you read in 4 hours?

Back

You can read 60 pages in 4 hours.

Front

What is the purpose of using ratio tables in problem-solving?

Back

Ratio tables help visualize the relationship between quantities and make it easier to find equivalent ratios and solve problems.

Front

If a car travels 150 miles in 3 hours, what is the ratio of miles to hours?

Back

The ratio of miles to hours is 150:3, which simplifies to 50:1.

Front

How do you determine if two ratios are equivalent?

Back

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

Front

If a recipe requires 4 cups of water for every 1 cup of rice, how much water is needed for 3 cups of rice?

Back

You need 12 cups of water for 3 cups of rice.