Solve 2/2-frac{2{3}}

$$\frac { 2 } { 2 - \frac { 2 } { 3 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{6}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 6 to get 4.

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

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

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

Express 2\times \frac{3}{4} as a single fraction.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{4}$$

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

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

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$