Solve 1/18.5+1/11.5

$$\frac{ 1 }{ 18.5 } + \frac{ 1 }{ 11.5 }$$

Evaluate

$$\frac{120}{851}\approx 0.141010576$$

Solution Steps

Expand \frac{1}{18.5} by multiplying both numerator and the denominator by 10.

$$\frac{10}{185}+\frac{1}{11.5}$$

Reduce the fraction \frac{10}{185} to lowest terms by extracting and canceling out 5.

$$\frac{2}{37}+\frac{1}{11.5}$$

Expand \frac{1}{11.5} by multiplying both numerator and the denominator by 10.

$$\frac{2}{37}+\frac{10}{115}$$

Reduce the fraction \frac{10}{115} to lowest terms by extracting and canceling out 5.

$$\frac{2}{37}+\frac{2}{23}$$

Least common multiple of 37 and 23 is 851. Convert \frac{2}{37} and \frac{2}{23} to fractions with denominator 851.

$$\frac{46}{851}+\frac{74}{851}$$

Since \frac{46}{851} and \frac{74}{851} have the same denominator, add them by adding their numerators.

$$\frac{46+74}{851}$$

Add 46 and 74 to get 120.

$$\frac{120}{851}$$

Factor

$$\frac{3 \cdot 5 \cdot 2 ^ {3}}{23 \cdot 37} = 0.1410105757931845$$