Solve 1/10+1/64

$$\frac { 1 } { 10 } + \frac { 1 } { 64 }$$

Evaluate

$$\frac{37}{320}=0.115625$$

Solution Steps

Least common multiple of 10 and 64 is 320. Convert \frac{1}{10} and \frac{1}{64} to fractions with denominator 320.

$$\frac{32}{320}+\frac{5}{320}$$

Since \frac{32}{320} and \frac{5}{320} have the same denominator, add them by adding their numerators.

$$\frac{32+5}{320}$$

Add 32 and 5 to get 37.

$$\frac{37}{320}$$

Factor

$$\frac{37}{2 ^ {6} \cdot 5} = 0.115625$$