Solve (1/3+1/5)*6

$$( \frac { 1 } { 3 } + \frac { 1 } { 5 } ) \cdot 6$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\left(\frac{5}{15}+\frac{3}{15}\right)\times 6$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{15}\times 6$$

Add 5 and 3 to get 8.

$$\frac{8}{15}\times 6$$

Express \frac{8}{15}\times 6 as a single fraction.

$$\frac{8\times 6}{15}$$

Multiply 8 and 6 to get 48.

$$\frac{48}{15}$$

Reduce the fraction \frac{48}{15} to lowest terms by extracting and canceling out 3.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$