Ratios and Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

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

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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.

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CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

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CCSS.7.RP.A.2C

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed in the form a:b:c.

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CCSS.6.RP.A.3A

Front

How do you find the measures of angles in a triangle given in extended ratio?

Back

To find the measures, first add the parts of the ratio, then divide 180° by the total parts to find the value of one part.

Tags

CCSS.4.MD.C.7

Front

What is the ratio of part to whole?

Back

The ratio of part to whole compares a part of a quantity to the entire quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.