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

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

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Multiply \frac{1}{6} and \frac{6}{5} to get \frac{1}{5}.

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

Factor

$$\frac{1}{5} = 0.2$$