Solve 21/5+11/3

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

Evaluate

$$\frac{53}{15}\approx 3.533333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}+\frac{1\times 3+1}{3}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{11}{5}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{11}{5}+\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{11}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{33}{15}+\frac{20}{15}$$

Since \frac{33}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{33+20}{15}$$

Add 33 and 20 to get 53.

$$\frac{53}{15}$$

Factor

$$\frac{53}{3 \cdot 5} = 3\frac{8}{15} = 3.533333333333333$$