Solve 1/40+1/45

$$\frac { 1 } { 40 } + \frac { 1 } { 45 }$$

Evaluate

$$\frac{17}{360}\approx 0.047222222$$

Solution Steps

Least common multiple of 40 and 45 is 360. Convert \frac{1}{40} and \frac{1}{45} to fractions with denominator 360.

$$\frac{9}{360}+\frac{8}{360}$$

Since \frac{9}{360} and \frac{8}{360} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{360}$$

Add 9 and 8 to get 17.

$$\frac{17}{360}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 0.04722222222222222$$