Solve 21/3+13/5

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

Evaluate

$$\frac{59}{15}\approx 3.933333333$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$\frac{7}{3}+\frac{8}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{8}{5} to fractions with denominator 15.

$$\frac{35}{15}+\frac{24}{15}$$

Since \frac{35}{15} and \frac{24}{15} have the same denominator, add them by adding their numerators.

$$\frac{35+24}{15}$$

Add 35 and 24 to get 59.

$$\frac{59}{15}$$

Factor

$$\frac{59}{3 \cdot 5} = 3\frac{14}{15} = 3.933333333333333$$