Solve 24/7+64/15

$$\frac { 24 } { 7 } + \frac { 64 } { 15 }$$

Evaluate

$$\frac{808}{105}\approx 7.695238095$$

Solution Steps

Least common multiple of 7 and 15 is 105. Convert \frac{24}{7} and \frac{64}{15} to fractions with denominator 105.

$$\frac{360}{105}+\frac{448}{105}$$

Since \frac{360}{105} and \frac{448}{105} have the same denominator, add them by adding their numerators.

$$\frac{360+448}{105}$$

Add 360 and 448 to get 808.

$$\frac{808}{105}$$

Factor

$$\frac{2 ^ {3} \cdot 101}{3 \cdot 5 \cdot 7} = 7\frac{73}{105} = 7.695238095238095$$