Solve 5/6[-4+17-(-37/5)]

$$\frac { 5 } { 6 } [ - 4 + 17 - ( - 3 \frac { 7 } { 5 } ) ]$$

Evaluate

$$\frac{29}{2}=14.5$$

Solution Steps

Add -4 and 17 to get 13.

$$\frac{5}{6}\left(13-\left(-\frac{3\times 5+7}{5}\right)\right)$$

Multiply 3 and 5 to get 15.

$$\frac{5}{6}\left(13-\left(-\frac{15+7}{5}\right)\right)$$

Add 15 and 7 to get 22.

$$\frac{5}{6}\left(13-\left(-\frac{22}{5}\right)\right)$$

The opposite of -\frac{22}{5} is \frac{22}{5}.

$$\frac{5}{6}\left(13+\frac{22}{5}\right)$$

Convert 13 to fraction \frac{65}{5}.

$$\frac{5}{6}\left(\frac{65}{5}+\frac{22}{5}\right)$$

Since \frac{65}{5} and \frac{22}{5} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}\times \frac{65+22}{5}$$

Add 65 and 22 to get 87.

$$\frac{5}{6}\times \frac{87}{5}$$

Multiply \frac{5}{6} times \frac{87}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 87}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{87}{6}$$

Reduce the fraction \frac{87}{6} to lowest terms by extracting and canceling out 3.

$$\frac{29}{2}$$

Factor

$$\frac{29}{2} = 14\frac{1}{2} = 14.5$$