Solve 81/5+62/3

$$8 \frac { 1 } { 5 } + 6 \frac { 2 } { 3 }$$

Evaluate

$$\frac{223}{15}\approx 14.866666667$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+1}{5}+\frac{6\times 3+2}{3}$$

Add 40 and 1 to get 41.

$$\frac{41}{5}+\frac{6\times 3+2}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{41}{5}+\frac{18+2}{3}$$

Add 18 and 2 to get 20.

$$\frac{41}{5}+\frac{20}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{41}{5} and \frac{20}{3} to fractions with denominator 15.

$$\frac{123}{15}+\frac{100}{15}$$

Since \frac{123}{15} and \frac{100}{15} have the same denominator, add them by adding their numerators.

$$\frac{123+100}{15}$$

Add 123 and 100 to get 223.

$$\frac{223}{15}$$

Factor

$$\frac{223}{3 \cdot 5} = 14\frac{13}{15} = 14.866666666666667$$