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

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

Evaluate

$$10$$

Solution Steps

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

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

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

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

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

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

Subtract 2 from 3 to get 1.

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

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

$$1+3\times 3$$

Multiply 3 and 3 to get 9.

$$1+9$$

Add 1 and 9 to get 10.

$$10$$

Factor

$$2\times 5$$