Solve 8/5*(3/4+11/8)

$$\frac { 8 } { 5 } \cdot ( \frac { 3 } { 4 } + \frac { 11 } { 8 } )$$

Evaluate

$$\frac{17}{5}=3.4$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{11}{8} to fractions with denominator 8.

$$\frac{8}{5}\left(\frac{6}{8}+\frac{11}{8}\right)$$

Since \frac{6}{8} and \frac{11}{8} have the same denominator, add them by adding their numerators.

$$\frac{8}{5}\times \frac{6+11}{8}$$

Add 6 and 11 to get 17.

$$\frac{8}{5}\times \frac{17}{8}$$

Multiply \frac{8}{5} times \frac{17}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 17}{5\times 8}$$

Cancel out 8 in both numerator and denominator.

$$\frac{17}{5}$$

Factor

$$\frac{17}{5} = 3\frac{2}{5} = 3.4$$