Solve (3/8)div(1/3)div(1/2)=

$$( \frac{ 3 }{ 8 } ) \div ( \frac{ 1 }{ 3 } ) \div ( \frac{ 1 }{ 2 } )=$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Divide \frac{\frac{3}{8}}{\frac{1}{3}} by \frac{1}{2} by multiplying \frac{\frac{3}{8}}{\frac{1}{3}} by the reciprocal of \frac{1}{2}.

$$\frac{\frac{3}{8}\times 2}{\frac{1}{3}}$$

Express \frac{3}{8}\times 2 as a single fraction.

$$\frac{\frac{3\times 2}{8}}{\frac{1}{3}}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{6}{8}}{\frac{1}{3}}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{4}}{\frac{1}{3}}$$

Divide \frac{3}{4} by \frac{1}{3} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{3}.

$$\frac{3}{4}\times 3$$

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

$$\frac{3\times 3}{4}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$