What is (2-5^{-1})/(3+5^{-1)} ?

The solution to (2-5^{-1})/(3+5^{-1)} is 9/16

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simplify (2-5^{-1})/(3+5^{-1)}

simplify

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

\frac{9}{16}

Decimal Notation

0.5625

Solution steps

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

Simplify

2 - 5^{- 1} : \frac{9}{5}

= \frac{\frac{9}{5}}{3 + 5 ^{- 1}}

Simplify

3 + 5^{- 1} : \frac{16}{5}

= \frac{\frac{9}{5}}{\frac{16}{5}}

Apply the fraction rule:

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

= \frac{9 \cdot 5}{5 \cdot 16}

Cancel the common factor:

5

= \frac{9}{16}

\frac{3}{5} \cdot \frac{7}{8}

\frac{3}{5} \cdot \frac{7}{4}

5 x^{2} \cdot x

\frac{8}{9} \cdot \frac{2}{9}

(\frac{6 c}{7})^{- 2}