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Convert  0.0314 (the 14 repeating) to a fraction in simplest form.

 Feb 20, 2024
 #7
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0.03 + 0.0014 repeating = 0.0314 repeating

Let 0.0014repeating = S, 100S = 0.141414repeating = S + 0.14

Solving, you have 99S = 0.14, S = 0.14/99 = 14/(99)(100) = 14/9900

0.03 + 7/4950 = 297/9900 + 14/9900 = 311/9900

 Feb 27, 2024

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