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**Equivalent Fractions and Decimals**

Course 2 2-10 Equivalent Fractions and Decimals Do Now Write each fraction in the simplest form. 4 12 1 3 18 46 9 23 21 63 1 3 100 72 25 18 or 1 7 Hwk: p 22

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Course 2 2-10 Equivalent Fractions and Decimals EQ: How do I write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating? M7N1.d Solve problems using rational numbers

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**Insert Lesson Title Here**

Course 2 2-10 Equivalent Fractions and Decimals Insert Lesson Title Here Vocabulary terminating decimal repeating decimal

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**Batting Average (thousandths)**

Course 2 2-10 Equivalent Fractions and Decimals Player Hits At Bats Batting Average (thousandths) Lance Berkman Alex Rodriguez Hits at Bats 172 544 172 544 172 ÷ 544 ≈ 0.316 172 601 172 601 172 ÷ 601 ≈ 0.286 To convert a fraction to a decimal, divide the numerator by the denominator.

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**Equivalent Fractions and Decimals**

Course 2 2-10 Equivalent Fractions and Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 1 4 9 5 5 3 A. B. C. 1 .8 1 .6 6 6 0.2 5 1.00 4 5 9.0 3 5.000 – 8 – 3 – 5 20 40 20 – 20 – 40 – 18 20 – 18 1 4 9 5 = 1.8 5 3 = 0.25 20 ≈ 1.67 – 18 2

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**Insert Lesson Title Here**

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

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**Equivalent Fractions and Decimals**

Course 2 2-10 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. 0.333… = 0.3 0.8333… = 0.83 … = 0.72

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**Additional Example 2: Using Mental Math to Write Fractions as Decimals**

Course 2 2-10 Equivalent Fractions and Decimals Additional Example 2: Using Mental Math to Write Fractions as Decimals Write each fraction as a decimal. 4 5 A. 4 5 2 2 8 10 x = = 0.8 37 50 B. 37 50 2 2 74 100 x = = 0.74

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**Equivalent Fractions and Decimals**

Course 2 2-10 Equivalent Fractions and Decimals Check It Out: Example 2 Write each fraction as a decimal. 3 5 A. 3 5 2 2 6 10 x = = 0.6 18 25 B. 18 25 4 4 72 100 x = = 0.72

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**Equivalent Fractions and Decimals**

Course 2 2-10 Equivalent Fractions and Decimals Write each decimal as a fraction in simplest form. A B. 1.55 18 1,000 155 100 0.018 = 1.55 = 18 ÷ 2 1,000 ÷ 2 155 ÷ 5 100 ÷ 5 = = 9 500 31 20 11 20 or 1 = = You read the decimal as “eighteen thousandths.” Reading Math

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**Insert Lesson Title Here**

Course 2 2-10 Equivalent Fractions and Decimals Insert Lesson Title Here Write each decimal as a fraction in simplest form. A B. 1.30 15 1,000 130 100 0.015 = 1.30 = 15 ÷ 5 1,000 ÷ 5 130 ÷ 10 100 ÷ 10 = = 3 200 3 10 = 13 10 or 1 =

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Pop quiz

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**Insert Lesson Title Here**

Course 2 2-10 Equivalent Fractions and Decimals Insert Lesson Title Here Quiz Write 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? 16 5 21 8 3.2 2. 2.625 7 10 11 20 0.7 0.55 21 50 69 8 5 8 or 8 0.70

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