What is (-112)/(3\times (-41/5)) ?

The solution to (-112)/(3\times (-41/5)) is 560/123

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simplify (-112)/(3\times (-41/5))

simplify

\frac{- 112}{3 \cdot ( - \frac{41}{5} )}

\frac{560}{123}

Decimal Notation

4.55284 \dots

Solution steps

\frac{- 112}{3 ( - \frac{41}{5} )}

Apply the fraction rule:

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

= - \frac{112}{3 ( - \frac{41}{5} )}

Apply rule:

a (- b) = - ab

3 (- \frac{41}{5}) = - 3 \cdot \frac{41}{5}

= - \frac{112}{- 3 \cdot \frac{41}{5}}

- 3 \cdot \frac{41}{5} = - \frac{123}{5}

= - \frac{112}{- \frac{123}{5}}

Apply the fraction rule:

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

\frac{112}{- \frac{123}{5}} = - \frac{112}{\frac{123}{5}}

= - (- \frac{112}{\frac{123}{5}})

Apply rule:

- (- a) = a

- (- \frac{112}{\frac{123}{5}}) = \frac{112}{\frac{123}{5}}

= \frac{112}{\frac{123}{5}}

Apply the fraction rule:

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

= \frac{112 \cdot 5}{123}

Multiply the numbers:

112 \cdot 5 = 560

= \frac{560}{123}

\frac{1}{2} + \frac{309}{16} \cdot \frac{40}{927}

\frac{6 x}{x - 2} + \frac{4}{x - 5}

sin (x) + cot (x) cos (x)

\frac{30}{120}

i^{5} + i^{6} + i^{7} + i^{8}

What is (-112)/(3\times (-41/5)) ?
The solution to (-112)/(3\times (-41/5)) is 560/123