Solve 1/1-1-1{1-frac{2/3}}

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

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Subtract 1 from 1 to get 0.

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

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

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

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

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

Subtract 2 from 3 to get 1.

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

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

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

Multiply 1 and 3 to get 3.

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

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$