Solve 3/4text{of}8/9div16/27

$$\frac { 3 } { 4 } \text { of } \frac { 8 } { 9 } \div \frac { 16 } { 27 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply \frac{3}{4} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 8}{4\times 9}}{\frac{16}{27}}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 9}.

$$\frac{\frac{24}{36}}{\frac{16}{27}}$$

Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{2}{3}}{\frac{16}{27}}$$

Divide \frac{2}{3} by \frac{16}{27} by multiplying \frac{2}{3} by the reciprocal of \frac{16}{27}.

$$\frac{2}{3}\times \frac{27}{16}$$

Multiply \frac{2}{3} times \frac{27}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 27}{3\times 16}$$

Do the multiplications in the fraction \frac{2\times 27}{3\times 16}.

$$\frac{54}{48}$$

Reduce the fraction \frac{54}{48} to lowest terms by extracting and canceling out 6.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$