Solve 15div5/8*(-5/4)-(-8)

$$15 \div \frac { 5 } { 8 } \times ( - \frac { 5 } { 4 } ) - ( - 8 )$$

Evaluate

$$-22$$

Solution Steps

Divide 15 by \frac{5}{8} by multiplying 15 by the reciprocal of \frac{5}{8}.

$$15\times \frac{8}{5}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Express 15\times \frac{8}{5} as a single fraction.

$$\frac{15\times 8}{5}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Multiply 15 and 8 to get 120.

$$\frac{120}{5}\left(-\frac{5}{4}\right)-\left(-8\right)$$

Divide 120 by 5 to get 24.

$$24\left(-\frac{5}{4}\right)-\left(-8\right)$$

Express 24\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{24\left(-5\right)}{4}-\left(-8\right)$$

Multiply 24 and -5 to get -120.

$$\frac{-120}{4}-\left(-8\right)$$

Divide -120 by 4 to get -30.

$$-30-\left(-8\right)$$

The opposite of -8 is 8.

$$-30+8$$

Add -30 and 8 to get -22.

$$-22$$

Factor

$$-22$$