Solve 21/3+31/5

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

Evaluate

$$\frac{83}{15}\approx 5.533333333$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{7}{3}+\frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{7}{3}+\frac{16}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{16}{5} to fractions with denominator 15.

$$\frac{35}{15}+\frac{48}{15}$$

Since \frac{35}{15} and \frac{48}{15} have the same denominator, add them by adding their numerators.

$$\frac{35+48}{15}$$

Add 35 and 48 to get 83.

$$\frac{83}{15}$$

Factor

$$\frac{83}{3 \cdot 5} = 5\frac{8}{15} = 5.533333333333333$$