Solve 22/3+13/5

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

Evaluate

$$\frac{64}{15}\approx 4.266666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}+\frac{1\times 5+3}{5}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}+\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

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

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

$$\frac{40}{15}+\frac{24}{15}$$

Since \frac{40}{15} and \frac{24}{15} have the same denominator, add them by adding their numerators.

$$\frac{40+24}{15}$$

Add 40 and 24 to get 64.

$$\frac{64}{15}$$

Factor

$$\frac{2 ^ {6}}{3 \cdot 5} = 4\frac{4}{15} = 4.266666666666667$$