Solve -21/4:-1/8

$$- 2 \frac { 1 } { 4 } : \frac { - 1 } { 8 }$$

Evaluate

$$18$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{-\frac{8+1}{4}}{\frac{-1}{8}}$$

Add 8 and 1 to get 9.

$$\frac{-\frac{9}{4}}{\frac{-1}{8}}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$\frac{-\frac{9}{4}}{-\frac{1}{8}}$$

Divide -\frac{9}{4} by -\frac{1}{8} by multiplying -\frac{9}{4} by the reciprocal of -\frac{1}{8}.

$$-\frac{9}{4}\left(-8\right)$$

Express -\frac{9}{4}\left(-8\right) as a single fraction.

$$\frac{-9\left(-8\right)}{4}$$

Multiply -9 and -8 to get 72.

$$\frac{72}{4}$$

Divide 72 by 4 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$