How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem. 0 . 1515 . . .

Shervon asked Jun 7, 2022

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3 votes

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

0
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1515

.

.

.

Shervon asked Jun 7, 2022

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23 votes

Answer:

x = 0.1515...

100 x = 15.1515...

100 x - x = 15.1515... - 0.1515...

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.1515... = 5 / 33

Explanation:

Nirup Iyer answered Jun 13, 2022

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