What is (1/2+1/5)/(3/5) ?

The solution to (1/2+1/5)/(3/5) is 7/6

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simplify (1/2+1/5)/(3/5)

simplify

\frac{\frac{1}{2} + \frac{1}{5}}{\frac{3}{5}}

\frac{7}{6}

Decimal Notation

1.16666 \dots

Solution steps

\frac{\frac{1}{2} + \frac{1}{5}}{\frac{3}{5}}

Apply the fraction rule:

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

= \frac{( \frac{1}{2} + \frac{1}{5} ) \cdot 5}{3}

Simplify

(\frac{1}{2} + \frac{1}{5}) \cdot 5 : \frac{7}{2}

= \frac{\frac{7}{2}}{3}

Apply the fraction rule:

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

= \frac{7}{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{7}{6}

\frac{- 9}{- 2}

\frac{2}{5} \cdot 100

\frac{14 4 ^{14}}{14 4 ^{2}}

\frac{3}{2} \cdot 3

\frac{v + 1}{v + 7} - \frac{v - 6}{v - 7}