Chapter Six Ratio, Proportion, and Triangle Applications Section 6.1 Ratio and Rates Writing Ratios as Fractions A ratio is the quotient of two numbers. For example, a percent can be thought of as a ratio, since it is the quotient of a number and 100. 53 53% = 100 or the ratio of 53 to 100 Martin-Gay, Prealgebra, 5ed 3 Ratio The ratio of a number a to a number b is their quotient. Ways of writing ratios are a to b, a : b, and a b Martin-Gay, Prealgebra, 5ed 4 Writing Rates as Fractions A rate is a special kind of ratio. It is used to compare different kinds of quantities. 5 miles 1 mile 55 minutes 11 minutes Martin-Gay, Prealgebra, 5ed 5 Finding Unit Rates To write a rate as a unit rate, divide the numerator of the rate by the denominator. 314.5 miles 17 gallons 314.5 ÷ 17 = 18.5 18.5 miles The unit rate is . 1 gallon Martin-Gay, Prealgebra, 5ed 6 Finding Unit Prices When a unit rate is “money per item,” it is also called a unit price. price unit price = number of units A store charges $2.76 for a 12-ounce jar of pickles. What is the unit price? $2.76 $0.23 ($0.23 per unit price = 12 ounces 1 ounce ounce ) Martin-Gay, Prealgebra, 5ed 7