What is (7/9+1/6)/(3/7) ?

The solution to (7/9+1/6)/(3/7) is 119/54

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simplify (7/9+1/6)/(3/7)

simplify

\frac{\frac{7}{9} + \frac{1}{6}}{\frac{3}{7}}

\frac{119}{54}

Solution steps

\frac{\frac{7}{9} + \frac{1}{6}}{\frac{3}{7}}

Apply the fraction rule:

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

= \frac{( \frac{7}{9} + \frac{1}{6} ) \cdot 7}{3}

Simplify

(\frac{7}{9} + \frac{1}{6}) \cdot 7 : \frac{119}{18}

= \frac{\frac{119}{18}}{3}

Apply the fraction rule:

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

= \frac{119}{18 \cdot 3}

Multiply the numbers:

18 \cdot 3 = 54

= \frac{119}{54}

\frac{3}{5} \cdot 1

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

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