Ratios and Ratio Tables

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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 the word 'to' (e.g., 2 to 3), using a colon (e.g., 2:3), or as a fraction (e.g., 2/3).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

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If there are 3 blue marbles and 2 red marbles, what is the ratio of blue to red?

Back

The ratio of blue to red is 3:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities, such as 2:4 and 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 red marbles to total marbles if there are 2 red and 5 yellow marbles?

Back

The total number of marbles is 2 + 5 = 7. The ratio of red to total marbles is 2:7.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Can you create a ratio from a fraction?

Back

Yes, a fraction can be expressed as a ratio. For example, the fraction 3/4 can be written as the ratio 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What happens to a ratio if you add the same number to both terms?

Back

Adding the same number to both terms of a ratio does not create an equivalent ratio.

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CCSS.6.RP.A.3A

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If a recipe calls for 4 cups of sugar and 5 cups of flour, what is the ratio of sugar to flour?

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The ratio of sugar to flour is 4:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2