5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15

Question
Answer:
$5\left( \frac{ 2 }{ 5 }+\left( \frac{ 8 }{ -9 }-\frac{ 1 }{ -7 }-\frac{ 2 }{ 5 } \right)\div\frac{ 2 }{ -5 } \right) \times \frac{ 8 }{ 15 }$
$5\left( \frac{ 2 }{ 5 }-\frac{ 361 }{ 315 }\div\frac{ 2 }{ -5 } \right) \times \frac{ 8 }{ 15 }$
$5\left( \frac{ 2 }{ 5 }+\frac{ 361 }{ 315 }\div\frac{ 2 }{ 5 } \right) \times \frac{ 8 }{ 15 }$
$5\left( \frac{ 2 }{ 5 }+\frac{ 361 }{ 315 } \times \frac{ 5 }{ 2 } \right) \times \frac{ 8 }{ 15 }$
$5\left( \frac{ 2 }{ 5 }+\frac{ 361 }{ 63 } \times \frac{ 1 }{ 2 } \right) \times \frac{ 8 }{ 15 }$
$5\left( \frac{ 2 }{ 5 }+\frac{ 361 }{ 126 } \right) \times \frac{ 8 }{ 15 }$
$5 \times \frac{ 2057 }{ 630 } \times \frac{ 8 }{ 15 }$
$\frac{ 2057 }{ 126 } \times \frac{ 8 }{ 15 }$
$\frac{ 2057 }{ 63 } \times \frac{ 4 }{ 15 }$
$\begin{align*}&\frac{ 8228 }{ 945 } \\&\begin{array} { l }8 \frac{ 668 }{ 945 },& 8.7\overline{ 068783 }\end{array}\end{align*}$
solved
general 11 months ago 1611