Solve 5/6+2/4+9/10

$$\frac { 5 } { 6 } + \frac { 2 } { 4 } + \frac { 9 } { 10 }$$

Evaluate

$$\frac{67}{30}\approx 2.233333333$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}+\frac{1}{2}+\frac{9}{10}$$

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

$$\frac{5}{6}+\frac{3}{6}+\frac{9}{10}$$

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

$$\frac{5+3}{6}+\frac{9}{10}$$

Add 5 and 3 to get 8.

$$\frac{8}{6}+\frac{9}{10}$$

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

$$\frac{4}{3}+\frac{9}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{4}{3} and \frac{9}{10} to fractions with denominator 30.

$$\frac{40}{30}+\frac{27}{30}$$

Since \frac{40}{30} and \frac{27}{30} have the same denominator, add them by adding their numerators.

$$\frac{40+27}{30}$$

Add 40 and 27 to get 67.

$$\frac{67}{30}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$$