Ratios and equivalent ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different (e.g., 5:8 is equivalent to 15:24).

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CCSS.6.RP.A.3A

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How can you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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If the ratio of apples to oranges is 2:3, what is the equivalent ratio if both quantities are doubled?

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The equivalent ratio would be 4:6.

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CCSS.6.RP.A.3A

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What is the ratio of STARS to SQUARES if there are 3 STARS and 4 SQUARES?

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The ratio of STARS to SQUARES is 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 5 cups of flour and 8 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 5:8.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Are the ratios 2:3 and 4:6 equivalent?

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Yes, the ratios 2:3 and 4:6 are equivalent because both can be simplified to 2:3.

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CCSS.6.RP.A.3A

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What is the first step to solving a problem involving ratios?

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The first step is to identify the quantities being compared and express them as a ratio.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you have a ratio of 3 to 1 for green marbles to yellow marbles, how many yellow marbles are there if there are 9 green marbles?

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If there are 9 green marbles, there are 3 yellow marbles (since the ratio is 3:1).