Solve 8/5left(3/4+11/8right)

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

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

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