Solve 2/5+1/10+5/6

$$\frac { 2 } { 5 } + \frac { 1 } { 10 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{4}{10}+\frac{1}{10}+\frac{5}{6}$$

Since \frac{4}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{10}+\frac{5}{6}$$

Add 4 and 1 to get 5.

$$\frac{5}{10}+\frac{5}{6}$$

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

$$\frac{1}{2}+\frac{5}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{3}{6}+\frac{5}{6}$$

Since \frac{3}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{6}$$

Add 3 and 5 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$