Equivalent Ratios 2024

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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.

Tags

CCSS.6.RP.A.3A

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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.

Tags

CCSS.6.RP.A.3A

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.)

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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?

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

Tags

CCSS.6.RP.A.3B

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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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1