Ratios and Equivalent Ratios

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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

Front

How do you write a ratio as a fraction?

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify the ratio 8:12, divide both by 4 to get 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a class has 16 boys and 32 girls, what is the ratio of girls to boys in simplest form?

Back

The ratio of girls to boys is 2:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add the parts of the ratio together. For example, in the ratio 4:3, the total is 4 + 3 = 7.

Front

What is the ratio of pears to all fruit if there are 5 pears, 4 apples, and 2 bananas?

Back

The ratio of pears to all fruit is 5:11.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you complete a ratio table?

Back

To complete a ratio table, find equivalent ratios by multiplying or dividing both terms of the ratio by the same number.

Front

What is an equivalent ratio for 10:45?

Back

An equivalent ratio for 10:45 is 2:9.

Tags

CCSS.6.RP.A.3A