3 years ago

Prove that the recurring decimal 0.39 = 13/33

1 answer:

8 0

$x=0.\overline{39}\\100x=39.\overline{39}\\
100x-x=39.\overline{39}-0.\overline{39}\\
99x=39\\
x=\dfrac{39}{99}=\dfrac{13}{33}
$

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