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

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

Evaluate

$$1$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

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

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

Cancel out 3 in both numerator and denominator.

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

Convert 2 to fraction \frac{4}{2}.

$$2-\frac{\frac{4}{2}-\frac{1}{2}}{1+\frac{1}{2}}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$2-\frac{\frac{4-1}{2}}{1+\frac{1}{2}}$$

Subtract 1 from 4 to get 3.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Divide \frac{3}{2} by \frac{3}{2} to get 1.

$$2-1$$

Subtract 1 from 2 to get 1.

$$1$$

Factor

$$1$$