Ratio, Proportion, and Ratio, Proportion, and Triangle ApplicationsTriangle Applications

Chapter SixChapter Six

Ratio and RatesRatio and Rates

Section 6.1

A A ratioratio is the quotient of two numbers. is the quotient of two numbers.

Writing Ratios as FractionsWriting Ratios as Fractions

For example, a percent can be thought of as For example, a percent can be thought of as a ratio, since it is the quotient of a number a ratio, since it is the quotient of a number and 100.and 100.

53% = 53100 or the ratio of 53 to 100

3Martin-Gay, Prealgebra, 5ed

The ratio of a number The ratio of a number aa to a number to a number bb is their is their quotient. Ways of writing ratios arequotient. Ways of writing ratios are

anda

ba to b, a : b,

RatioRatio

4Martin-Gay, Prealgebra, 5ed

A A rate rate is a special kind of ratio. It is used to is a special kind of ratio. It is used to compare compare differentdifferent kinds of quantities. kinds of quantities.

Writing Rates as FractionsWriting Rates as Fractions

5

5 miles 1 mile55 minutes 11 minutes

Martin-Gay, Prealgebra, 5ed

To write a rate as a unit rate, divide the To write a rate as a unit rate, divide the numerator of the rate by the denominator.numerator of the rate by the denominator.

Finding Unit RatesFinding Unit Rates

6

miles g

314.al15

7 lons 314.5314.5 ÷ ÷ 1717 = 18.5 = 18.5

The unit rate isThe unit rate is .18.5 miles1 gallon

Martin-Gay, Prealgebra, 5ed

When a unit rate is “money per item,” it is When a unit rate is “money per item,” it is also called a also called a unit priceunit price. .

Finding Unit PricesFinding Unit Prices

7

price unit price = number of units

A store charges $2.76 for a 12-ounce jar of A store charges $2.76 for a 12-ounce jar of pickles. What is the unit price?pickles. What is the unit price?

$2.76 $0.23 unit price = 12 ounces 1 ounce

($0.23 per($0.23 perounce )ounce )

Martin-Gay, Prealgebra, 5ed