Solve 7/3*(1/4+1/8)*2/7

$$\frac{ 7 }{ 3 } \times ( \frac{ 1 }{ 4 } + \frac{ 1 }{ 8 } ) \times \frac{ 2 }{ 7 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{7}{3}\left(\frac{2}{8}+\frac{1}{8}\right)\times \frac{2}{7}$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{7}{3}\times \frac{2+1}{8}\times \frac{2}{7}$$

Add 2 and 1 to get 3.

$$\frac{7}{3}\times \frac{3}{8}\times \frac{2}{7}$$

Multiply \frac{7}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{3\times 8}\times \frac{2}{7}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7}{8}\times \frac{2}{7}$$

Multiply \frac{7}{8} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{8\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$