Solve (2/3)/frac{(frac{2{4})}{3}}

$$\frac { ( \frac { 2 } { 3 } ) } { \frac { ( \frac { 2 } { 4 } ) } { 3 } }$$

Evaluate

$$4$$

Solution Steps

Divide \frac{2}{3} by \frac{\frac{2}{4}}{3} by multiplying \frac{2}{3} by the reciprocal of \frac{\frac{2}{4}}{3}.

$$\frac{2\times 3}{3\times \frac{2}{4}}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{3\times \frac{2}{4}}$$

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

$$\frac{6}{3\times \frac{1}{2}}$$

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$\frac{6}{\frac{3}{2}}$$

Divide 6 by \frac{3}{2} by multiplying 6 by the reciprocal of \frac{3}{2}.

$$6\times \frac{2}{3}$$

Express 6\times \frac{2}{3} as a single fraction.

$$\frac{6\times 2}{3}$$

Multiply 6 and 2 to get 12.

$$\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$4$$

Factor

$$2^{2}$$