What is (1/2-1/3)/(1/4+1/5) ?

The solution to (1/2-1/3)/(1/4+1/5) is 10/27

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simplify (1/2-1/3)/(1/4+1/5)

simplify

\frac{\frac{1}{2} - \frac{1}{3}}{\frac{1}{4} + \frac{1}{5}}

\frac{10}{27}

Decimal Notation

0.37037 \dots

Solution steps

\frac{\frac{1}{2} - \frac{1}{3}}{\frac{1}{4} + \frac{1}{5}}

\frac{1}{2} - \frac{1}{3} = \frac{1}{6}

= \frac{\frac{1}{6}}{\frac{1}{4} + \frac{1}{5}}

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

= \frac{\frac{1}{6}}{\frac{9}{20}}

Apply the fraction rule:

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

= \frac{1 \cdot 20}{6 \cdot 9}

Cancel

\frac{1 \cdot 20}{6 \cdot 9} : \frac{10}{27}

= \frac{10}{27}

\frac{5}{14} - (\frac{6}{7} - \frac{4}{9} \times \frac{15}{8})

- 315 \cdot \frac{π}{180}

- 3 x^{2} - 2 x + 1

4 x^{2} - 2 x + 1 = 0

3 x^{2} - 22 x + 35