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OpenStudy (anonymous):
How would you convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem 0.1515...
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OpenStudy (danjs):
The way i remember, is to use multiples of the thing like this.....
OpenStudy (danjs):
Let S = 0.151515.... so, 100*S = 15.151515... Subtract the two, the repeating decimal is gone, 100S - S = 15.151515... - 0.151515... 99S = 15 S = 15/99
OpenStudy (danjs):
you have to use different multiples of the decimal depending on the number, so that you can get to subtracting the repeating decimal from itself
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