Solve 8/15+4/5+1/2

$$\frac { 8 } { 15 } + \frac { 4 } { 5 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{4}{5} to fractions with denominator 15.

$$\frac{8}{15}+\frac{12}{15}+\frac{1}{2}$$

Since \frac{8}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+12}{15}+\frac{1}{2}$$

Add 8 and 12 to get 20.

$$\frac{20}{15}+\frac{1}{2}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$\frac{4}{3}+\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{8}{6}+\frac{3}{6}$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{6}$$

Add 8 and 3 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$