Solve -1/8div9/16*9/4

$$- \frac { 1 } { 8 } \div \frac { 9 } { 16 } \times \frac { 9 } { 4 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Divide -\frac{1}{8} by \frac{9}{16} by multiplying -\frac{1}{8} by the reciprocal of \frac{9}{16}.

$$-\frac{1}{8}\times \frac{16}{9}\times \frac{9}{4}$$

Multiply -\frac{1}{8} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16}{8\times 9}\times \frac{9}{4}$$

Do the multiplications in the fraction \frac{-16}{8\times 9}.

$$\frac{-16}{72}\times \frac{9}{4}$$

Reduce the fraction \frac{-16}{72} to lowest terms by extracting and canceling out 8.

$$-\frac{2}{9}\times \frac{9}{4}$$

Multiply -\frac{2}{9} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 9}{9\times 4}$$

Cancel out 9 in both numerator and denominator.

$$\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$