2-6 Equivalent Fractions and Decimals Warm Up Write each fraction in the simplest form Round each decimal to the nearest HUNDRETH

2-6 Equivalent Fractions and Decimals Problem of the Day Martin recorded how much a bean plant grew each week. The first week the plant grew of an inch, of an inch the second week, and of an inch the third week. During which week did the plant grow the least? week

2-6 Equivalent Fractions and Decimals Today’s Goal: Learn to write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating.

2-6 Equivalent Fractions and Decimals Vocabulary terminating decimal repeating decimal

2-6 Equivalent Fractions and Decimals In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics on the next slide are for the 2006 Major League Baseball season.

2-6 Equivalent Fractions and Decimals Player Hits At Bats Batting Average (thousandths) Miguel Cabrera Ichiro Suzuki Hits at Bats 195 ÷ 576 ≈ ÷ 695 ≈ To convert a fraction to a decimal, divide the numerator by the denominator.

2-6 Equivalent Fractions and Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Additional Example 1: Writing Fractions as Decimals A B C – 8 20 – = – – = – – – – ≈

2-6 Equivalent Fractions and Decimals The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part … = … = … = 0.72

2-6 Equivalent Fractions and Decimals Write each fraction as a decimal. Additional Example 2: Using Mental Math to Write Fractions as Decimals A x 2 = 8 10 = 0.8 Multiply to get a power of ten in the denominator. B x 2 = = 0.74 Multiply to get a power of ten in the denominator.

2-6 Equivalent Fractions and Decimals Write each fraction as a decimal. Check It Out: Example 2 A x 2 = 6 10 = 0.6 Multiply to get a power of ten in the denominator. B x 4 = = 0.72 Multiply to get a power of ten in the denominator.

2-6 Equivalent Fractions and Decimals Write each decimal as a fraction in simplest form. Additional Example 3: Writing Decimals as Fractions A B = 18 1, = = 18 ÷ 2 1,000 ÷ 2 = 155 ÷ ÷ 5 = or = You read the decimal as “eighteen thousandths.” Reading Math

2-6 Equivalent Fractions and Decimals Check It Out: Example 3 Write each decimal as a fraction in simplest form. A B = 15 1, = = 15 ÷ 5 1,000 ÷ 5 = 130 ÷ ÷ 10 = or = 3 200

2-6 Equivalent Fractions and Decimals 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. Additional Example 4: Sports Application Fraction What the Calculator Shows Completion Rate 1,546 3, ÷ 3875 ENTER His completion rate is

2-6 Equivalent Fractions and Decimals Check It Out: Example 4 Johnny 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. Fraction What the Calculator Shows Completion Rate 2,830 5, ÷ 5186 ENTER His completion rate is

2-6 Equivalent Fractions and Decimals Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

2-6 Equivalent Fractions and Decimals Lesson Quiz Write each fraction as a decimal Write each decimal as a fraction in simplest form If your soccer team wins 21 out of 30 games, what is your team’s winning rate? or 8

2-6 Equivalent Fractions and Decimals 1. Which of the following represents the fraction as a decimal? A. 3.4 B. 3.5 C. 3.6 D. 3.7 Lesson Quiz for Student Response Systems 18 5

2-6 Equivalent Fractions and Decimals 2. Which of the following represents the fraction as a decimal? A B C D Lesson Quiz for Student Response Systems 13 20

2-6 Equivalent Fractions and Decimals 3. Which of the following represents the decimal 0.32 as a fraction in simplest form? A. C. B. D. Lesson Quiz for Student Response Systems

2-6 Equivalent Fractions and Decimals 4. Which of the following represents the decimal as a fraction in simplest form? A. or 8C. or 6 B. or 6D. or 6 Lesson Quiz for Student Response Systems

2-6 Equivalent Fractions and Decimals 5. If Rita scores 34 out of 50 in a class test, what is Rita’s scoring rate? A B C D Lesson Quiz for Student Response Systems