Solve 3^-1+2^-1/2^-1-3^-1

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

Evaluate

$$5$$

Solution Steps

Calculate 3 to the power of -1 and get \frac{1}{3}.

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

Calculate 2 to the power of -1 and get \frac{1}{2}.

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

Add \frac{1}{3} and \frac{1}{2} to get \frac{5}{6}.

$$\frac{\frac{5}{6}}{2^{-1}-3^{-1}}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$\frac{\frac{5}{6}}{\frac{1}{2}-3^{-1}}$$

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$\frac{\frac{5}{6}}{\frac{1}{2}-\frac{1}{3}}$$

Subtract \frac{1}{3} from \frac{1}{2} to get \frac{1}{6}.

$$\frac{\frac{5}{6}}{\frac{1}{6}}$$

Divide \frac{5}{6} by \frac{1}{6} by multiplying \frac{5}{6} by the reciprocal of \frac{1}{6}.

$$\frac{5}{6}\times 6$$

Multiply \frac{5}{6} and 6 to get 5.

$$5$$

Factor

$$5$$