Solve 1/4div1/3div1/6=

$$\frac { 1 } { 4 } \div \frac { 1 } { 3 } \div \frac { 1 } { 6 } =$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide \frac{\frac{1}{4}}{\frac{1}{3}} by \frac{1}{6} by multiplying \frac{\frac{1}{4}}{\frac{1}{3}} by the reciprocal of \frac{1}{6}.

$$\frac{\frac{1}{4}\times 6}{\frac{1}{3}}$$

Multiply \frac{1}{4} and 6 to get \frac{6}{4}.

$$\frac{\frac{6}{4}}{\frac{1}{3}}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

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

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$