What is ((a)71)/(2+(-33/5)) ?

The solution to ((a)71)/(2+(-33/5)) is -(355a)/(23)

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simplify ((a)71)/(2+(-33/5))

simplify

\frac{( a ) 71}{2 + ( - \frac{33}{5} )}

- \frac{355 a}{23}

Solution steps

\frac{( a ) \cdot 71}{2 + ( - \frac{33}{5} )}

Simplify

\frac{( a ) \cdot 71}{2 + ( - \frac{33}{5} )} : \frac{a \cdot 71}{2 - \frac{33}{5}}

= \frac{a \cdot 71}{2 - \frac{33}{5}}

2 - \frac{33}{5} = - \frac{23}{5}

= \frac{a \cdot 71}{- \frac{23}{5}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{a \cdot 71}{\frac{23}{5}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

\frac{a \cdot 71}{\frac{23}{5}} = \frac{a \cdot 71 \cdot 5}{23}

= - \frac{a \cdot 71 \cdot 5}{23}

Simplify

a \cdot 71 \cdot 5 : 355 a

= - \frac{355 a}{23}

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What is ((a)71)/(2+(-33/5)) ?
The solution to ((a)71)/(2+(-33/5)) is -(355a)/(23)