Ratio - Simplest Form

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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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Ratios can be written in three ways: using a colon (e.g., 1:2), as a fraction (e.g., 1/2), or with the word 'to' (e.g., 1 to 2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to simplify a ratio?

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To simplify a ratio means to reduce it to its simplest form, where the two numbers have no common factors other than 1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplest form of the ratio 4:8?

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The simplest form of the ratio 4:8 is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of apples to oranges is 3:5, how many oranges are there if there are 9 apples?

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There are 15 oranges. (3:5 means for every 3 apples, there are 5 oranges. 9 apples = 9/3 * 5 = 15 oranges.)

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What is an equivalent ratio?

Back

Equivalent ratios are different ratios that express the same relationship between quantities.

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CCSS.6.RP.A.3A

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Find an equivalent ratio for 2:3 by multiplying both sides by 4.

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An equivalent ratio is 8:12.

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CCSS.6.RP.A.3A

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What is the ratio of shaded to blank if there are 3 shaded and 6 blank?

Back

The ratio of shaded to blank is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of boys to girls in a class is 2:3, how many girls are there if there are 10 boys?

Back

There are 15 girls. (2:3 means for every 2 boys, there are 3 girls. 10 boys = 10/2 * 3 = 15 girls.)

Front

What is the simplest form of the ratio 12:16?

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The simplest form of the ratio 12:16 is 3:4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2