Solve 3+3^-1/3-3^-1=

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

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

Add 3 and \frac{1}{3} to get \frac{10}{3}.

$$\frac{\frac{10}{3}}{3-3^{-1}}$$

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

$$\frac{\frac{10}{3}}{3-\frac{1}{3}}$$

Subtract \frac{1}{3} from 3 to get \frac{8}{3}.

$$\frac{\frac{10}{3}}{\frac{8}{3}}$$

Divide \frac{10}{3} by \frac{8}{3} by multiplying \frac{10}{3} by the reciprocal of \frac{8}{3}.

$$\frac{10}{3}\times \frac{3}{8}$$

Multiply \frac{10}{3} and \frac{3}{8} to get \frac{5}{4}.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$