Ratios and Equivalent Ratios

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express a ratio?

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A ratio can be expressed in three ways: using the word 'to' (e.g., 3 to 4), using a colon (e.g., 3:4), and as a fraction (e.g., 3/4).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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 (e.g., 2:4 is equivalent to 1:2).

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CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is the ratio of students who rode the bus to those who used other transportation if 14 out of 30 students rode the bus?

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The ratio is 7:8.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you have a ratio of 8:20, what happens if you divide both numbers by 4?

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You get the equivalent ratio 2:5.

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CCSS.6.RP.A.3A

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What is the ratio of time spent watching TV to time spent sleeping if you watch TV for 2 hours and sleep for 8 hours?

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The ratio is 2:8.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

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The ratio is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

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The ratio is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplified form of the ratio 10:15?

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The simplified form is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2