Solve (1/3-1/5)*45

$$( \frac { 1 } { 3 } - \frac { 1 } { 5 } ) \times 45$$

Evaluate

$$6$$

Solution Steps

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

$$\left(\frac{5}{15}-\frac{3}{15}\right)\times 45$$

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

$$\frac{5-3}{15}\times 45$$

Subtract 3 from 5 to get 2.

$$\frac{2}{15}\times 45$$

Express \frac{2}{15}\times 45 as a single fraction.

$$\frac{2\times 45}{15}$$

Multiply 2 and 45 to get 90.

$$\frac{90}{15}$$

Divide 90 by 15 to get 6.

$$6$$

Factor

$$2\times 3$$