Solve 5/18*(-36)+15/16*(-8)

$$\frac { 5 } { 18 } \times ( - 36 ) + \frac { 15 } { 16 } \times ( - 8 )$$

Evaluate

$$-\frac{35}{2}=-17.5$$

Solution Steps

Express \frac{5}{18}\left(-36\right) as a single fraction.

$$\frac{5\left(-36\right)}{18}+\frac{15}{16}\left(-8\right)$$

Multiply 5 and -36 to get -180.

$$\frac{-180}{18}+\frac{15}{16}\left(-8\right)$$

Divide -180 by 18 to get -10.

$$-10+\frac{15}{16}\left(-8\right)$$

Express \frac{15}{16}\left(-8\right) as a single fraction.

$$-10+\frac{15\left(-8\right)}{16}$$

Multiply 15 and -8 to get -120.

$$-10+\frac{-120}{16}$$

Reduce the fraction \frac{-120}{16} to lowest terms by extracting and canceling out 8.

$$-10-\frac{15}{2}$$

Convert -10 to fraction -\frac{20}{2}.

$$-\frac{20}{2}-\frac{15}{2}$$

Since -\frac{20}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-20-15}{2}$$

Subtract 15 from -20 to get -35.

$$-\frac{35}{2}$$

Factor

$$-\frac{35}{2} = -17\frac{1}{2} = -17.5$$