Solve 21/5+13/8

$$2 \frac { 1 } { 5 } + 1 \frac { 3 } { 8 }$$

Evaluate

$$\frac{143}{40}=3.575$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}+\frac{1\times 8+3}{8}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}+\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{11}{5}+\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{11}{5}+\frac{11}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{11}{5} and \frac{11}{8} to fractions with denominator 40.

$$\frac{88}{40}+\frac{55}{40}$$

Since \frac{88}{40} and \frac{55}{40} have the same denominator, add them by adding their numerators.

$$\frac{88+55}{40}$$

Add 88 and 55 to get 143.

$$\frac{143}{40}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {3} \cdot 5} = 3\frac{23}{40} = 3.575$$