Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

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).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of total players to boys if there are 16 girls and 8 boys?

Back

The ratio is 3:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of pass to fail in a class is 5:1, how many students are passing if there are 90 students total?

Back

75 students are passing.

Front

What is the ratio of students wanting hot dogs to those wanting hamburgers if 10 want hot dogs and 26 want hamburgers?

Back

The ratio is 10:26, which can be simplified to 5:13.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Tags

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 can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios; if the products are equal, the ratios form a proportion.

Front

What is the price per gallon if 4 gallons of gasoline cost $16.80?

Back

The price per gallon is $4.20.

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