Solve 3/10+8/15

$$\frac { 3 } { 10 } + \frac { 8 } { 15 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Least common multiple of 10 and 15 is 30. Convert \frac{3}{10} and \frac{8}{15} to fractions with denominator 30.

$$\frac{9}{30}+\frac{16}{30}$$

Since \frac{9}{30} and \frac{16}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+16}{30}$$

Add 9 and 16 to get 25.

$$\frac{25}{30}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$