Solve -5+8*(-1/4)-9div(-1/3)

$$- 5 + 8 \times ( - \frac { 1 } { 4 } ) - 9 \div ( - \frac { 1 } { 3 } )$$

Evaluate

$$20$$

Solution Steps

Express 8\left(-\frac{1}{4}\right) as a single fraction.

$$-5+\frac{8\left(-1\right)}{4}-\frac{9}{-\frac{1}{3}}$$

Multiply 8 and -1 to get -8.

$$-5+\frac{-8}{4}-\frac{9}{-\frac{1}{3}}$$

Divide -8 by 4 to get -2.

$$-5-2-\frac{9}{-\frac{1}{3}}$$

Subtract 2 from -5 to get -7.

$$-7-\frac{9}{-\frac{1}{3}}$$

Divide 9 by -\frac{1}{3} by multiplying 9 by the reciprocal of -\frac{1}{3}.

$$-7-9\left(-3\right)$$

Multiply 9 and -3 to get -27.

$$-7-\left(-27\right)$$

The opposite of -27 is 27.

$$-7+27$$

Add -7 and 27 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$