Solve 3/frac{2{1}*2/3}

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

Evaluate

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

Solution Steps

Anything divided by one gives itself.

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

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

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

Multiply 2 and 2 to get 4.

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

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

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

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

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

Multiply 3 and 3 to get 9.

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

Factor

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