Solve 2/3+9/10

$$\frac { 2 } { 3 } + \frac { 9 } { 10 }$$

Evaluate

$$\frac{47}{30}\approx 1.566666667$$

Solution Steps

Least common multiple of 3 and 10 is 30. Convert \frac{2}{3} and \frac{9}{10} to fractions with denominator 30.

$$\frac{20}{30}+\frac{27}{30}$$

Since \frac{20}{30} and \frac{27}{30} have the same denominator, add them by adding their numerators.

$$\frac{20+27}{30}$$

Add 20 and 27 to get 47.

$$\frac{47}{30}$$

Factor

$$\frac{47}{2 \cdot 3 \cdot 5} = 1\frac{17}{30} = 1.5666666666666667$$