What is (7/9)/(4/3+8/12*2/5) ?

The solution to (7/9)/(4/3+8/12*2/5) is 35/72

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simplify (7/9)/(4/3+8/12*2/5)

simplify

\frac{\frac{7}{9}}{\frac{4}{3} + \frac{8}{12} \cdot \frac{2}{5}}

\frac{35}{72}

Solution steps

\frac{\frac{7}{9}}{\frac{4}{3} + \frac{8}{12} \cdot \frac{2}{5}}

Apply the fraction rule:

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

= \frac{7}{9 ( \frac{4}{3} + \frac{8}{12} \cdot \frac{2}{5} )}

Simplify

9 (\frac{4}{3} + \frac{8}{12} \cdot \frac{2}{5}) : \frac{72}{5}

= \frac{7}{\frac{72}{5}}

Apply the fraction rule:

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

= \frac{7 \cdot 5}{72}

Multiply the numbers:

7 \cdot 5 = 35

= \frac{35}{72}

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