Ratios and Proportions 6.12

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating 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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for finding a ratio?

Back

The formula for finding a ratio is: Ratio = Part / Whole.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and both represent a comparison of quantities.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

To find the total number of items in a ratio, add the parts of the ratio together.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of tennis balls to total balls if there are 6 tennis balls and 15 other balls?

Back

The ratio of tennis balls to total balls is 6/(6+15) = 6/21.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of boys to girls is 25:75, what is the ratio of girls to total students?

Back

The ratio of girls to total students is 75 to (25+75) = 75 to 100.

Tags

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, meaning they can be simplified to the same fraction.

Tags

CCSS.6.RP.A.3A