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

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

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

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

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

Subtract 1 from 4 to get 3.

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

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

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

Multiply 1 and \frac{2}{3} to get \frac{2}{3}.

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

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

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

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

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

Subtract 2 from 6 to get 4.

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

Divide 1 by \frac{4}{3} by multiplying 1 by the reciprocal of \frac{4}{3}.

$$2-1\times \frac{3}{4}$$

Multiply 1 and \frac{3}{4} to get \frac{3}{4}.

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

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}-\frac{3}{4}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{4}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$