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3-9

3-9. Equivalent Fractions and Decimals. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 3-9. Equivalent Fractions and Decimals. 4 12. 9 23. 7 18. 25 18. or 1. Course 2. Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 1 3. 18 46. 21 63. 1

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3-9

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  1. 3-9 Equivalent Fractions and Decimals Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 3-9 Equivalent Fractions and Decimals 4 12 9 23 7 18 25 18 or 1 Course 2 Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 1 3 18 46 21 63 1 3 100 72

  3. 3-9 Equivalent Fractions and Decimals Course 2 Problem of the Day For Martin’s 4-H project he recorded how much a bean plant grew each week. The first week the plant grew of an inch. It grew of an inch the second week and of an inch the third week. During which week did the plant grow the least? 4 7 7 9 7 8 week 1

  4. 3-9 Equivalent Fractions and Decimals Course 2 Learn to write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating.

  5. 3-9 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Vocabulary terminating decimal repeating decimal

  6. 3-9 Equivalent Fractions and Decimals Course 2 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 2001 Major League Baseball season.

  7. 3-9 Equivalent Fractions and Decimals Course 2 Hits at Bats 142 476 476 142 ÷ 476 ≈ 0.298 142 114 477 114 477 114 ÷ 477 ≈ 0.239 136 442 136 442 136 ÷ 442 ≈ 0.308 289 577 189 577 289 ÷ 577 ≈ 0.328 To convert a fraction to a decimal, divide the numerator by the denominator.

  8. 3-9 Equivalent Fractions and Decimals 1.00 Course 2 Additional Example 1: Writing Fractions as Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 9 5 5 3 1 4 B. C. A. 1 .8 1 .6 6 6 0.2 5 9.0 5 5.000 3 4 – 8 – 3 – 5 20 20 40 – 20 – 18 – 40 20 0 0 – 18 9 5 5 3 1 4 = 1.8 ≈ 1.67 = 0.25 20 – 18 2

  9. 3-9 Equivalent Fractions and Decimals Helpful Hint You can use a calculator to check your division: 1 9 5 33 4 = 0.25 ÷ 1.8 5 ÷ = 3 1.66… ÷ = Course 2

  10. 3-9 Equivalent Fractions and Decimals 3.00 Course 2 Insert Lesson Title Here Try This: Example 1 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 6 5 7 3 3 4 B. C. A. 1 .2 2 .3 3 3 0.7 5 6.0 5 7.000 3 4 – 2 8 – 6 – 5 20 10 10 – 20 – 9 – 10 10 0 0 – 9 6 5 7 3 3 4 = 1.2 ≈ 2.33 = 0.75 10 – 9 1

  11. 3-9 Equivalent Fractions and Decimals Course 2 The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimal 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. 0.333… = 0.3 0.8333… = 0.83 0.727272… = 0.72

  12. 3-9 Equivalent Fractions and Decimals Place Value 1,000 100 10 1 0.1 = 0.01 = 0.001 = 1 1,000 1 100 1 10 Course 2 You can use place value to convert a terminating decimal to a fraction. · Place Thousands Hundreds Tens Ones Tenths Thousandths Hundredths

  13. 3-9 Equivalent Fractions and Decimals Course 2 Additional Example 2: Writing Decimals as Fractions Write each decimal as a fraction in simplest form. B. –0.6 C. 1.55 A. 0.018 18 1,000 6 10 155 100 0.018 = –0.6 = – 1.55 = 18 ÷ 2 1,000 ÷ 2 6 ÷ 2 10 ÷ 2 155 ÷ 5 100 ÷ 5 = – = = 11 20 3 5 31 20 9 500 or 1 = – = =

  14. 3-9 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Try This: Example 2 Write each decimal as a fraction in simplest form. B. –0.8 C. 1.30 A. 0.015 15 1,000 8 10 130 100 0.015 = –0.8 = – 1.30 = 15 ÷ 5 1,000 ÷ 5 8 ÷ 2 10 ÷ 2 130 ÷ 10 100 ÷ 10 = – = = 3 10 4 5 13 10 3 200 or 1 = – = =

  15. 3-9 Equivalent Fractions and Decimals Course 2 Additional Example 3: 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. Completion Rate What the Calculator Shows Fraction 1,546 3,875 ENTER ÷ 0.398967749 0.399 1546 3875 His completion rate is 0.399.

  16. 3-9 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Try This: Example 3 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. What the Calculator Shows Fraction Completion Rate 2,830 5,186 ENTER ÷ 0.546 0.54569996 2830 5186 His completion rate is 0.546.

  17. 3-9 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Lesson Quiz Write each fraction as a decimal. 1. Write each decimal as a fraction in simplest form. 3. 0.42 5. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 16 5 21 8 2.625 3.2 2. 21 50 69 8 4. 8.625 0.70

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