Solve 32/5+21/3

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

Evaluate

$$\frac{86}{15}\approx 5.733333333$$

Solution Steps

Multiply 3 and 5 to get 15.

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

Add 15 and 2 to get 17.

$$\frac{17}{5}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{17}{5}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{17}{5}+\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{17}{5} and \frac{7}{3} to fractions with denominator 15.

$$\frac{51}{15}+\frac{35}{15}$$

Since \frac{51}{15} and \frac{35}{15} have the same denominator, add them by adding their numerators.

$$\frac{51+35}{15}$$

Add 51 and 35 to get 86.

$$\frac{86}{15}$$

Factor

$$\frac{2 \cdot 43}{3 \cdot 5} = 5\frac{11}{15} = 5.733333333333333$$