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

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

Evaluate

$$3$$

Solution Steps

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

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

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

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

Subtract 1 from 2 to get 1.

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

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

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

Multiply 1 and 2 to get 2.

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

Subtract 2 from 1 to get -1.

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

Divide 1 by -1 to get -1.

$$2-\left(-1\right)$$

The opposite of -1 is 1.

$$2+1$$

Add 2 and 1 to get 3.

$$3$$

Factor

$$3$$