Solve 1/5(-2+17)*(-5/6)div1/2=

$$\frac { 1 } { 5 } ( - 2 + 17 ) \times ( - \frac { 5 } { 6 } ) \div \frac { 1 } { 2 } =$$

Evaluate

$$-5$$

Solution Steps

Add -2 and 17 to get 15.

$$\frac{\frac{1}{5}\times 15\left(-\frac{5}{6}\right)}{\frac{1}{2}}$$

Multiply \frac{1}{5} and 15 to get \frac{15}{5}.

$$\frac{\frac{15}{5}\left(-\frac{5}{6}\right)}{\frac{1}{2}}$$

Divide 15 by 5 to get 3.

$$\frac{3\left(-\frac{5}{6}\right)}{\frac{1}{2}}$$

Express 3\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{\frac{3\left(-5\right)}{6}}{\frac{1}{2}}$$

Multiply 3 and -5 to get -15.

$$\frac{\frac{-15}{6}}{\frac{1}{2}}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{5}{2}}{\frac{1}{2}}$$

Divide -\frac{5}{2} by \frac{1}{2} by multiplying -\frac{5}{2} by the reciprocal of \frac{1}{2}.

$$-\frac{5}{2}\times 2$$

Cancel out 2 and 2.

$$-5$$

Factor

$$-5$$