Solve (2/15+3/11)*15*11

$$( \frac { 2 } { 15 } + \frac { 3 } { 11 } ) \times 15 \times 11$$

Evaluate

$$67$$

Solution Steps

Least common multiple of 15 and 11 is 165. Convert \frac{2}{15} and \frac{3}{11} to fractions with denominator 165.

$$\left(\frac{22}{165}+\frac{45}{165}\right)\times 15\times 11$$

Since \frac{22}{165} and \frac{45}{165} have the same denominator, add them by adding their numerators.

$$\frac{22+45}{165}\times 15\times 11$$

Add 22 and 45 to get 67.

$$\frac{67}{165}\times 15\times 11$$

Express \frac{67}{165}\times 15 as a single fraction.

$$\frac{67\times 15}{165}\times 11$$

Multiply 67 and 15 to get 1005.

$$\frac{1005}{165}\times 11$$

Reduce the fraction \frac{1005}{165} to lowest terms by extracting and canceling out 15.

$$\frac{67}{11}\times 11$$

Cancel out 11 and 11.

$$67$$

Factor

$$67$$