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

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

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

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

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

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

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

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

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

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

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

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

Subtract 3 from 2 to get -1.

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

Factor

$$-\frac{1}{2} = -0.5$$