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

The solution to (1/3-2)/(5+1/2) is -10/33

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

simplify

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

- \frac{10}{33}

Decimal Notation

- 0.30303 \dots

Solution steps

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

\frac{1}{3} - 2 = - \frac{5}{3}

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

5 + \frac{1}{2} = \frac{11}{2}

= \frac{- \frac{5}{3}}{\frac{11}{2}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{5}{3}}{\frac{11}{2}}

Apply the fraction rule:

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

\frac{\frac{5}{3}}{\frac{11}{2}} = \frac{5 \cdot 2}{3 \cdot 11}

= - \frac{5 \cdot 2}{3 \cdot 11}

Multiply the numbers:

5 \cdot 2 = 10

= - \frac{10}{3 \cdot 11}

Multiply the numbers:

3 \cdot 11 = 33

= - \frac{10}{33}

8 \cdot 60

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