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What is $0.4\overline{8} + 0.3\overline{7}$? Express your answer as a common fraction in lowest terms.

 Jan 12, 2022
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\(What\ is\ 0.4\overline{8} + 0.3\overline{7}?\)

 

Hello Guest!

 

\(0.4\overline{8} + 0.3\overline{7}=0.8\overline 6\)

 

   \(0.86666\overline 6\)   =  x

 -\(\underline{0.66666\overline 6}\)    = 2/3

  \(0.2\)                = 1/5

 

\(x-\frac{2}{3}=\frac{1}{5}\\ x=\frac{1}{5}+\frac{2}{3}=\frac{3+2\cdot 5}{15}\\ x=\frac{13}{15}\)

\(0.4\overline{8} + 0.3\overline{7}=\dfrac{13}{15}\)

laugh  !

 Jan 12, 2022

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