Solve 6/5+8/6

$$\frac { 6 } { 5 } + \frac { 8 } { 6 }$$

Evaluate

$$\frac{38}{15}\approx 2.533333333$$

Solution Steps

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

$$\frac{6}{5}+\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{6}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{18}{15}+\frac{20}{15}$$

Since \frac{18}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{18+20}{15}$$

Add 18 and 20 to get 38.

$$\frac{38}{15}$$

Factor

$$\frac{2 \cdot 19}{3 \cdot 5} = 2\frac{8}{15} = 2.533333333333333$$