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

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

Evaluate

$$-1$$

Solution Steps

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

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

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

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

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

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

Subtract 1 from 3 to get 2.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

Divide \frac{2}{3} by -\frac{2}{3} to get -1.

$$-1$$

Factor

$$-1$$