Equivalent Ratios

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

Tags

CCSS.6.RP.A.3A

Front

How do you find equivalent ratios?

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To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, if you have the ratio 2:3, multiplying both terms by 2 gives you 4:6, which is equivalent.

Tags

CCSS.6.RP.A.3A

Front

What is the ratio of shaded to unshaded squares if 3 out of 5 squares are shaded?

Back

The ratio of shaded to unshaded squares is 3:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the equivalent ratio for 4 cups of flour?

Back

The equivalent ratio for 4 cups of flour would be 4:6.

Tags

CCSS.6.RP.A.3A

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions. For example, the ratio 3:5 can be written as the fraction 3/5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if two ratios are proportional?

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Two ratios are proportional if they are equivalent, meaning they represent the same relationship between quantities.

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CCSS.7.RP.A.2A

Front

If a group of 12 people pays $96 for tickets, what is the cost per person?

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The cost per person is $8, which is the ratio of total cost to number of people: 96:12.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if 60 miles are driven in 2 hours, the unit rate is 30 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you represent a ratio using a colon?

Back

A ratio can be represented using a colon by placing the two quantities separated by a colon. For example, the ratio of 3 to 4 can be written as 3:4.

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1