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Popular >

simplify (5/8)^{-1}(0.42)

Solution

simplify

(\frac{5}{8})^{- 1} (0.42)

Solution

\frac{84}{125}

+1

Decimal Notation

0.672

Solution steps

(\frac{5}{8})^{- 1} (0.42)

Apply rule:

(a) = a

(0.42) = 0.42

= (\frac{5}{8})^{- 1} \cdot 0.42

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(\frac{5}{8})^{- 1} = \frac{1}{\frac{5}{8}}

= \frac{1}{\frac{5}{8}} \cdot 0.42

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{8}{5} \cdot 0.42

0.42 = \frac{21}{50}

= \frac{8}{5} \cdot \frac{21}{50}

\frac{8}{5} \cdot \frac{21}{50} = \frac{84}{125}

= \frac{84}{125}

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Frequently Asked Questions (FAQ)

What is (5/8)^{-1}(0.42) ?
The solution to (5/8)^{-1}(0.42) is 84/125