Solve 2+1/3/3-frac{2{3}}

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

Evaluate

$$1$$

Solution Steps

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

$$\frac{\frac{6}{3}+\frac{1}{3}}{3-\frac{2}{3}}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6+1}{3}}{3-\frac{2}{3}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{3}}{3-\frac{2}{3}}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{\frac{7}{3}}{\frac{9}{3}-\frac{2}{3}}$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7}{3}}{\frac{9-2}{3}}$$

Subtract 2 from 9 to get 7.

$$\frac{\frac{7}{3}}{\frac{7}{3}}$$

Divide \frac{7}{3} by \frac{7}{3} to get 1.

$$1$$

Factor

$$1$$