Solve =11/2(2/15+1/6)

$$= \frac { 11 } { 2 } ( \frac { 2 } { 15 } + \frac { 1 } { 6 } )$$

Evaluate

$$\frac{33}{20}=1.65$$

Solution Steps

Least common multiple of 15 and 6 is 30. Convert \frac{2}{15} and \frac{1}{6} to fractions with denominator 30.

$$\frac{11}{2}\left(\frac{4}{30}+\frac{5}{30}\right)$$

Since \frac{4}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{11}{2}\times \frac{4+5}{30}$$

Add 4 and 5 to get 9.

$$\frac{11}{2}\times \frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}\times \frac{3}{10}$$

Multiply \frac{11}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 3}{2\times 10}$$

Do the multiplications in the fraction \frac{11\times 3}{2\times 10}.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$