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# Decimals

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Let $x = (0.\overline{6})(0.\overline{06})$. When x is written out as a decimal, what is the sum of the first 15 digits after the decimal point?

Oct 6, 2021

#1
+35058
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.66666666 ... = 2/3

.0606060606..... = 2/33

2/3 * 2/33 = 4/99

4/99 = .0404040404040404...                          7 x 4 = 28 .

Oct 6, 2021