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**Writing Terminating Decimals as Fractions**

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

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**Writing Repeating Decimals as Fractions**

EXAMPLE 4 Writing Repeating Decimals as Fractions STEP 1 Write 0.48 as a fraction by first letting x 0.48 = or STEP 2 Multiply by 10 , or 100, because the number has 2 repeating digits. You get 100x = , or 2 STEP 3 Subtract x from 100x. = 100x – x 99x STEP 4 Solve for x and simplify x = 48 99 16 33

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EXAMPLE 4 ANSWER 16 The decimal 0.48 is equivalent to the fraction 33

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

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

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