What is (0.5+1/9)/((1 1/6-5/18)*5.5) ?

The solution to (0.5+1/9)/((1 1/6-5/18)*5.5) is 1/8

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simplify (0.5+1/9)/((1 1/6-5/18)*5.5)

simplify

\frac{0.5 + \frac{1}{9}}{( 1 \frac{1}{6} - \frac{5}{18} ) \cdot 5.5}

\frac{1}{8}

Decimal Notation

0.125

Solution steps

\frac{0.5 + \frac{1}{9}}{( 1 \frac{1}{6} - \frac{5}{18} ) \cdot 5.5}

Convert mixed numbers to improper fractions:

1 \frac{1}{6} = \frac{7}{6}

= \frac{0.5 + \frac{1}{9}}{( \frac{7}{6} - \frac{5}{18} ) \cdot 5.5}

Simplify

0.5 + \frac{1}{9} : \frac{11}{18}

= \frac{\frac{11}{18}}{( \frac{7}{6} - \frac{5}{18} ) \cdot 5.5}

Simplify

(\frac{7}{6} - \frac{5}{18}) \cdot 5.5 : \frac{44}{9}

= \frac{\frac{11}{18}}{\frac{44}{9}}

Apply the fraction rule:

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

= \frac{11 \cdot 9}{18 \cdot 44}

Cancel

\frac{11 \cdot 9}{18 \cdot 44} : \frac{1}{8}

= \frac{1}{8}

\frac{20}{9} + \frac{20}{3}

(4 x^{4})^{4}

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

\frac{2 - i}{3 + i} - (5 + 2 i) + \frac{3}{2 - i}

\frac{3 ^{7} \cdot 27}{( 3 ^{4} ) ^{3}}

What is (0.5+1/9)/((1 1/6-5/18)*5.5) ?
The solution to (0.5+1/9)/((1 1/6-5/18)*5.5) is 1/8