Solve (3/4div8/3)div9/7=

$$( \frac { 3 } { 4 } \div \frac { 8 } { 3 } ) \div \frac { 9 } { 7 } =$$

Evaluate

$$\frac{7}{32}=0.21875$$

Solution Steps

Divide \frac{\frac{3}{4}}{\frac{8}{3}} by \frac{9}{7} by multiplying \frac{\frac{3}{4}}{\frac{8}{3}} by the reciprocal of \frac{9}{7}.

$$\frac{\frac{3}{4}\times 7}{\frac{8}{3}\times 9}$$

Express \frac{3}{4}\times 7 as a single fraction.

$$\frac{\frac{3\times 7}{4}}{\frac{8}{3}\times 9}$$

Multiply 3 and 7 to get 21.

$$\frac{\frac{21}{4}}{\frac{8}{3}\times 9}$$

Express \frac{8}{3}\times 9 as a single fraction.

$$\frac{\frac{21}{4}}{\frac{8\times 9}{3}}$$

Multiply 8 and 9 to get 72.

$$\frac{\frac{21}{4}}{\frac{72}{3}}$$

Divide 72 by 3 to get 24.

$$\frac{\frac{21}{4}}{24}$$

Express \frac{\frac{21}{4}}{24} as a single fraction.

$$\frac{21}{4\times 24}$$

Multiply 4 and 24 to get 96.

$$\frac{21}{96}$$

Reduce the fraction \frac{21}{96} to lowest terms by extracting and canceling out 3.

$$\frac{7}{32}$$

Factor

$$\frac{7}{2 ^ {5}} = 0.21875$$