Solve 32/5+41/3=

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

Evaluate

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

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}+\frac{4\times 3+1}{3}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}+\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{17}{5}+\frac{12+1}{3}$$

Add 12 and 1 to get 13.

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

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

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

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

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

Add 51 and 65 to get 116.

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

Factor

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