Solve (-81)div9/4*4/9div(-32)

$$( - 81 ) \div \frac { 9 } { 4 } \times \frac { 4 } { 9 } \div ( - 32 )$$

Evaluate

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

Solution Steps

Divide -81 by \frac{9}{4} by multiplying -81 by the reciprocal of \frac{9}{4}.

$$\frac{-81\times \frac{4}{9}\times \frac{4}{9}}{-32}$$

Express -81\times \frac{4}{9} as a single fraction.

$$\frac{\frac{-81\times 4}{9}\times \frac{4}{9}}{-32}$$

Multiply -81 and 4 to get -324.

$$\frac{\frac{-324}{9}\times \frac{4}{9}}{-32}$$

Divide -324 by 9 to get -36.

$$\frac{-36\times \frac{4}{9}}{-32}$$

Express -36\times \frac{4}{9} as a single fraction.

$$\frac{\frac{-36\times 4}{9}}{-32}$$

Multiply -36 and 4 to get -144.

$$\frac{\frac{-144}{9}}{-32}$$

Divide -144 by 9 to get -16.

$$\frac{-16}{-32}$$

Reduce the fraction \frac{-16}{-32} to lowest terms by extracting and canceling out -16.

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

Factor

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