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

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

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Divide 2 by 2 to get 1.

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

Add 2 and 1 to get 3.

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

Add 2 and 2 to get 4.

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

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

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

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

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

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

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

Add 4 and 1 to get 5.

$$\frac{3}{\frac{5}{2}}$$

Divide 3 by \frac{5}{2} by multiplying 3 by the reciprocal of \frac{5}{2}.

$$3\times \frac{2}{5}$$

Express 3\times \frac{2}{5} as a single fraction.

$$\frac{3\times 2}{5}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$