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EXAMPLE 3

4. a. 0.4. =. 10. 2. =. 5. 90 5. b. –1.905. =. 5 is in the thousandths’ place. – 1. 1000. 181. 905. =. – 1. 1000. 200. 181. =. – 1. 200. EXAMPLE 3. Writing Terminating Decimals as Fractions. Write the decimal as a fraction or mixed number in simplest form.

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EXAMPLE 3

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  1. 4 a. 0.4 = 10 2 = 5 905 b. –1.905 = 5is in the thousandths’ place. – 1 1000 181 905 = – 1 1000 200 181 = – 1 200 EXAMPLE 3 Writing Terminating Decimals as Fractions Write the decimal as a fraction or mixed number in simplest form. 4is in the tenths’ place. Simplify. Simplify.

  2. Write0.48as a fraction by first lettingx 0.48 STEP 1 = or 0.484848 . . STEP 2 Multiply by10 , or100,because the number has2repeating digits. You get100x=48.48 , or 48.484848 . . . . 2 STEP 3 Subtractx from100x. 100x 48.484848 . . . = – x 0.484848 . . . = 99x 48.000000 . . . = 48 16 x Solve forx and simplify = = STEP 4 99 33 EXAMPLE 4 Writing Repeating Decimals as Fractions

  3. EXAMPLE 4 ANSWER 16 The decimal0.48is equivalent to the fraction . 33

  4. 31 = 50 – 6. 2.45 9 = 2 20 for Examples 3 and 4 GUIDED PRACTICE Write the decimal as a fraction or mixed number. 5.0.62

  5. 7. 0.7 7 = 9 4 = 11 for Examples 3 and 4 GUIDED PRACTICE Write the decimal as a fraction or mixed number. 8. 0.36

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