Solve 24/15+23/30

$$\frac { 24 } { 15 } + \frac { 23 } { 30 }$$

Evaluate

$$\frac{71}{30}\approx 2.366666667$$

Solution Steps

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

$$\frac{8}{5}+\frac{23}{30}$$

Least common multiple of 5 and 30 is 30. Convert \frac{8}{5} and \frac{23}{30} to fractions with denominator 30.

$$\frac{48}{30}+\frac{23}{30}$$

Since \frac{48}{30} and \frac{23}{30} have the same denominator, add them by adding their numerators.

$$\frac{48+23}{30}$$

Add 48 and 23 to get 71.

$$\frac{71}{30}$$

Factor

$$\frac{71}{2 \cdot 3 \cdot 5} = 2\frac{11}{30} = 2.3666666666666667$$