Solve 1/80+1/48+1/8=

$$\frac { 1 } { 80 } + \frac { 1 } { 48 } + \frac { 1 } { 8 } =$$

Evaluate

$$\frac{19}{120}\approx 0.158333333$$

Solution Steps

Least common multiple of 80 and 48 is 240. Convert \frac{1}{80} and \frac{1}{48} to fractions with denominator 240.

$$\frac{3}{240}+\frac{5}{240}+\frac{1}{8}$$

Since \frac{3}{240} and \frac{5}{240} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{240}+\frac{1}{8}$$

Add 3 and 5 to get 8.

$$\frac{8}{240}+\frac{1}{8}$$

Reduce the fraction \frac{8}{240} to lowest terms by extracting and canceling out 8.

$$\frac{1}{30}+\frac{1}{8}$$

Least common multiple of 30 and 8 is 120. Convert \frac{1}{30} and \frac{1}{8} to fractions with denominator 120.

$$\frac{4}{120}+\frac{15}{120}$$

Since \frac{4}{120} and \frac{15}{120} have the same denominator, add them by adding their numerators.

$$\frac{4+15}{120}$$

Add 4 and 15 to get 19.

$$\frac{19}{120}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3 \cdot 5} = 0.15833333333333333$$