5Batting Average (thousandths) In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat.PlayerHitsAt BatsBatting Average (thousandths)Lance BerkmanAlex RodriguezHitsAt Bats172544172544172 ÷ 544 ≈ 0.316172601172601172 ÷ 601 ≈ 0.286To convert a fraction to a decimal, divide the numerator by the denominator.
6Additional Example 1: Writing Fractions as Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary.149553A.B.C.1.81.6660.251.00459.035.000– 8– 3– 5204020– 20– 40– 1820– 18149553= 1.8= 0.2520≈ 1.67– 182
7Check It Out! Example 1Write each fraction as a decimal. Round to the nearest hundredth, if necessary.346573A.B.C.1.22.3330.753.00456.037.000– 2 8– 6– 5201010– 20– 10– 910– 9346573= 1.2= 0.7510≈ 2.33– 91
8The decimals 0.75 and 1.2 are terminating decimals because the decimals comes to an end. The decimal 0.333… is a repeating decimal because it includes a group of one or more digits (where all digits are not zero) that repeats forever. You can also write a repeating decimal with a bar over the repeating part.0.333… = 0.30.8333… = 0.83… = 0.72
9Additional Example 2: Using Mental Math to Write Fractions as Decimals Write each fraction as a decimal.4 5A.4 52 28 10Multiply to get a power of ten in the denominator.×== 0.837 50B.37 502 274 100Multiply to get a power of ten in the denominator.×== 0.74
10Write each fraction as a decimal. Check It Out! Example 2Write each fraction as a decimal.3 5A.3 52 26 10Multiply to get a power of ten in the denominator.×== 0.618 25B.18 254 472 100Multiply to get a power of ten in the denominator.×== 0.72
11You can also use place value to write a terminating decimal as a fraction. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction.
12Additional Example 3: Writing Decimals as Fractions Write each decimal as a fraction in simplest form.AB. 1.55181,0001551000.018 =1.55 =18 ÷ 21,000 ÷ 2155 ÷ 5100 ÷ 5==950031201120or 1==You read the decimal as “eighteen thousandths.”Reading Math
13Check It Out! Example 3Write each decimal as a fraction in simplest form.AB. 1.30151,0001301000.015 =1.30 =15 ÷ 51,000 ÷ 5130 ÷ 10100 ÷ 10==3200310=1310or 1=
14Additional Example 4: Sports Application A football player completed 1,546 of the 3,875 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth.0.3989…Divide the numerator by the denominator.His completion rate is
15Check It Out! Example 4Johnny Unitas, a former professional quarterback, completed 2,830 of the 5,186 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth.0.5456…Divide the numerator by the denominator.His completion rate is
16Write each fraction as a decimal. 1. 3. 4. Lesson QuizWrite each fraction as a decimal.1.Write each decimal as a fraction in simplest form.7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate?1652184.108.40.206571011200.70.5521506985 8or 80.70