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

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

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

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

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

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

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

Add 2 and 1 to get 3.

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

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

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

Multiply 2 and 2 to get 4.

$$\frac{1+\frac{3}{4}}{\frac{1}{2}}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{\frac{4}{4}+\frac{3}{4}}{\frac{1}{2}}$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+3}{4}}{\frac{1}{2}}$$

Add 4 and 3 to get 7.

$$\frac{\frac{7}{4}}{\frac{1}{2}}$$

Divide \frac{7}{4} by \frac{1}{2} by multiplying \frac{7}{4} by the reciprocal of \frac{1}{2}.

$$\frac{7}{4}\times 2$$

Express \frac{7}{4}\times 2 as a single fraction.

$$\frac{7\times 2}{4}$$

Multiply 7 and 2 to get 14.

$$\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$