Writing Terminating Decimals as Fractions

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Presentation transcript:

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.

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 0.484848 . . STEP 2 Multiply by 10 , or 100, because the number has 2 repeating digits. You get 100x = 48.48 , or 48.484848 . . . . 2 STEP 3 Subtract x from 100x. = 100x 48.484848 . . . – x 0.484848 . . . 99x 48.000000 . . . STEP 4 Solve for x and simplify x = 48 99 16 33

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

GUIDED PRACTICE for Examples 3 and 4 Write the decimal as a fraction or mixed number. 5. 0.62 = 50 31 6. 2.45 – 9 20 2 =

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