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

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

Evaluate

$$\frac{12}{7}\approx 1.714285714$$

Solution Steps

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

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

Calculate 2 to the power of -2 and get \frac{1}{4}.

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

Add \frac{1}{3} and \frac{1}{4} to get \frac{7}{12}.

$$\frac{1}{\frac{7}{12}}$$

Divide 1 by \frac{7}{12} by multiplying 1 by the reciprocal of \frac{7}{12}.

$$1\times \frac{12}{7}$$

Multiply 1 and \frac{12}{7} to get \frac{12}{7}.

$$\frac{12}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1.7142857142857142$$