Solve 3/5+8/10+11/15=

$$\frac { 3 } { 5 } + \frac { 8 } { 10 } + \frac { 11 } { 15 } =$$

Evaluate

$$\frac{32}{15}\approx 2.133333333$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}+\frac{4}{5}+\frac{11}{15}$$

Since \frac{3}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{5}+\frac{11}{15}$$

Add 3 and 4 to get 7.

$$\frac{7}{5}+\frac{11}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{7}{5} and \frac{11}{15} to fractions with denominator 15.

$$\frac{21}{15}+\frac{11}{15}$$

Since \frac{21}{15} and \frac{11}{15} have the same denominator, add them by adding their numerators.

$$\frac{21+11}{15}$$

Add 21 and 11 to get 32.

$$\frac{32}{15}$$

Factor

$$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$$