Solve 62/3+82/5=

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

Evaluate

$$\frac{226}{15}\approx 15.066666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}+\frac{8\times 5+2}{5}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}+\frac{8\times 5+2}{5}$$

Multiply 8 and 5 to get 40.

$$\frac{20}{3}+\frac{40+2}{5}$$

Add 40 and 2 to get 42.

$$\frac{20}{3}+\frac{42}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{20}{3} and \frac{42}{5} to fractions with denominator 15.

$$\frac{100}{15}+\frac{126}{15}$$

Since \frac{100}{15} and \frac{126}{15} have the same denominator, add them by adding their numerators.

$$\frac{100+126}{15}$$

Add 100 and 126 to get 226.

$$\frac{226}{15}$$

Factor

$$\frac{2 \cdot 113}{3 \cdot 5} = 15\frac{1}{15} = 15.066666666666666$$