Solve (3^-1+4^-1+5^-1)

$$( 3 ^ { - 1 } + 4 ^ { - 1 } + 5 ^ { - 1 } )$$

Evaluate

$$\frac{47}{60}\approx 0.783333333$$

Solution Steps

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

$$\frac{1}{3}+4^{-1}+5^{-1}$$

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

$$\frac{1}{3}+\frac{1}{4}+5^{-1}$$

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

$$\frac{7}{12}+5^{-1}$$

Calculate 5 to the power of -1 and get \frac{1}{5}.

$$\frac{7}{12}+\frac{1}{5}$$

Add \frac{7}{12} and \frac{1}{5} to get \frac{47}{60}.

$$\frac{47}{60}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3 \cdot 5} = 0.7833333333333333$$