Solve 2^-1+3^-1-4^-1/12

$$\frac { 2 ^ { - 1 } + 3 ^ { - 1 } - 4 ^ { - 1 } } { 12 }$$

Evaluate

$$\frac{7}{144}\approx 0.048611111$$

Solution Steps

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

$$\frac{\frac{1}{2}+3^{-1}-4^{-1}}{12}$$

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

$$\frac{\frac{1}{2}+\frac{1}{3}-4^{-1}}{12}$$

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

$$\frac{\frac{5}{6}-4^{-1}}{12}$$

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

$$\frac{\frac{5}{6}-\frac{1}{4}}{12}$$

Subtract \frac{1}{4} from \frac{5}{6} to get \frac{7}{12}.

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

Express \frac{\frac{7}{12}}{12} as a single fraction.

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

Multiply 12 and 12 to get 144.

$$\frac{7}{144}$$

Factor

$$\frac{7}{2 ^ {4} \cdot 3 ^ {2}} = 0.04861111111111111$$