Solve 41/3+32/5

$$4 \frac{ 1 }{ 3 } +3 \frac{ 2 }{ 5 }$$

Evaluate

$$\frac{116}{15}\approx 7.733333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}+\frac{3\times 5+2}{5}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}+\frac{3\times 5+2}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{13}{3}+\frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$\frac{13}{3}+\frac{17}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{13}{3} and \frac{17}{5} to fractions with denominator 15.

$$\frac{65}{15}+\frac{51}{15}$$

Since \frac{65}{15} and \frac{51}{15} have the same denominator, add them by adding their numerators.

$$\frac{65+51}{15}$$

Add 65 and 51 to get 116.

$$\frac{116}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 29}{3 \cdot 5} = 7\frac{11}{15} = 7.733333333333333$$