Solve -2+2:4/3/1-1:frac{2{3}}

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

Evaluate

$$1$$

Solution Steps

Divide 2 by \frac{4}{3} by multiplying 2 by the reciprocal of \frac{4}{3}.

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

Express 2\times \frac{3}{4} as a single fraction.

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

Multiply 2 and 3 to get 6.

$$\frac{-2+\frac{6}{4}}{1-\frac{1}{\frac{2}{3}}}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

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

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

Since -\frac{4}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add -4 and 3 to get -1.

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

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

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

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

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

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

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

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

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

Subtract 3 from 2 to get -1.

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

Divide -\frac{1}{2} by -\frac{1}{2} to get 1.

$$1$$

Factor

$$1$$