What is (3^{-1}+4^{-1})/(5^{-1)} ?

The solution to (3^{-1}+4^{-1})/(5^{-1)} is 35/12

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simplify (3^{-1}+4^{-1})/(5^{-1)}

simplify

\frac{3 ^{- 1} + 4 ^{- 1}}{5 ^{- 1}}

\frac{35}{12}

Solution steps

\frac{3 ^{- 1} + 4 ^{- 1}}{5 ^{- 1}}

Simplify

3^{- 1} + 4^{- 1} : \frac{7}{12}

= \frac{\frac{7}{12}}{5 ^{- 1}}

Apply the fraction rule:

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

= \frac{7}{12 \cdot 5 ^{- 1}}

Simplify

12 \cdot 5^{- 1} : \frac{12}{5}

= \frac{7}{\frac{12}{5}}

Apply the fraction rule:

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

= \frac{7 \cdot 5}{12}

Multiply the numbers:

7 \cdot 5 = 35

= \frac{35}{12}

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lo g_{6} (6) + lo g_{6} (36) + lo g_{6} (216)

2 c i s (\frac{- π}{3})

- 8 \cdot 6

What is (3^{-1}+4^{-1})/(5^{-1)} ?
The solution to (3^{-1}+4^{-1})/(5^{-1)} is 35/12