Question

$$( \frac { 14 } { 12 } : ( - 1 \frac { 8 } { 13 } ) + 58 : ( - 13 , 8 ) - 8 =$$

Answer

385/72+(-552/73,-8)

Solution


Invert and multiply.
\[35\times \frac{-11}{13}\times \frac{-13}{72}+\frac{552}{-73,8}+0\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{35\times -11\times -13}{13\times 72}+\frac{552}{-73,8}+0\]
Simplify  \(35\times -11\)  to  \(-385\).
\[\frac{-385\times -13}{13\times 72}+\frac{552}{-73,8}+0\]
Simplify  \(-385\times -13\)  to  \(5005\).
\[\frac{5005}{13\times 72}+\frac{552}{-73,8}+0\]
Simplify  \(13\times 72\)  to  \(936\).
\[\frac{5005}{936}+\frac{552}{-73,8}+0\]
Simplify  \(\frac{5005}{936}\)  to  \(\frac{385}{72}\).
\[\frac{385}{72}+\frac{552}{-73,8}+0\]
Move the negative sign to the left.
\[\frac{385}{72}+(-\frac{552}{73},-8)+0\]
Simplify.
\[\frac{385}{72}+(-\frac{552}{73},-8)\]