What is (4/5-2/5)/(5/10+4/10) ?

The solution to (4/5-2/5)/(5/10+4/10) is 4/9

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simplify (4/5-2/5)/(5/10+4/10)

simplify

\frac{\frac{4}{5} - \frac{2}{5}}{\frac{5}{10} + \frac{4}{10}}

\frac{4}{9}

Decimal Notation

0.44444 \dots

Solution steps

\frac{\frac{4}{5} - \frac{2}{5}}{\frac{5}{10} + \frac{4}{10}}

\frac{4}{5} - \frac{2}{5} = \frac{2}{5}

= \frac{\frac{2}{5}}{\frac{5}{10} + \frac{4}{10}}

\frac{5}{10} + \frac{4}{10} = \frac{9}{10}

= \frac{\frac{2}{5}}{\frac{9}{10}}

Apply the fraction rule:

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

= \frac{2 \cdot 10}{5 \cdot 9}

Cancel

\frac{2 \cdot 10}{5 \cdot 9} : \frac{4}{9}

= \frac{4}{9}

\frac{( 6 b ^{3} + 18 b - 27 b ^{2} )}{3 b}

- 4 \times 1

- 96

\frac{- 15}{3}

ln^{2} (0)