Solve 32/81div8/3*9/56=

$$\frac { 32 } { 81 } \div \frac { 8 } { 3 } \times \frac { 9 } { 56 } =$$

Evaluate

$$\frac{1}{42}\approx 0.023809524$$

Solution Steps

Divide \frac{32}{81} by \frac{8}{3} by multiplying \frac{32}{81} by the reciprocal of \frac{8}{3}.

$$\frac{32}{81}\times \frac{3}{8}\times \frac{9}{56}$$

Multiply \frac{32}{81} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 3}{81\times 8}\times \frac{9}{56}$$

Do the multiplications in the fraction \frac{32\times 3}{81\times 8}.

$$\frac{96}{648}\times \frac{9}{56}$$

Reduce the fraction \frac{96}{648} to lowest terms by extracting and canceling out 24.

$$\frac{4}{27}\times \frac{9}{56}$$

Multiply \frac{4}{27} times \frac{9}{56} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 9}{27\times 56}$$

Do the multiplications in the fraction \frac{4\times 9}{27\times 56}.

$$\frac{36}{1512}$$

Reduce the fraction \frac{36}{1512} to lowest terms by extracting and canceling out 36.

$$\frac{1}{42}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 7} = 0.023809523809523808$$