Equivalent Ratios 2024

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, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, how much flour is needed for 6 cups of sugar?

Back

4 cups of flour. (The ratio of flour to sugar is 2:3, so for 6 cups of sugar, you need 4 cups of flour.)

Front

What is the ratio of 5 to 10 in simplest form?

Back

1:2. (Divide both terms by 5.)

Front

If 4 hours of work earns $20, how much would 10 hours earn?

Back

$50. (The ratio of hours to earnings is 4:20, which simplifies to 1:5. Therefore, 10 hours would earn 10 x 5 = $50.)

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

How can you represent ratios visually?

Back

Ratios can be represented using graphs, tables, or diagrams to show the relationship between quantities.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles. (The ratio of miles to hours is 60:1, so in 3 hours, it will travel 60 x 3 = 180 miles.)

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you create a table of equivalent ratios?

Back

To create a table of equivalent ratios, start with a ratio and multiply both terms by the same number to generate new rows. For example, for the ratio 1:2, you can create 1:2, 2:4, 3:6, etc.