Solve 5/6*(1/4+3/20)

$$\frac{ 5 }{ 6 } \times ( \frac{ 1 }{ 4 } + \frac{ 3 }{ 20 } )$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 4 and 20 is 20. Convert \frac{1}{4} and \frac{3}{20} to fractions with denominator 20.

$$\frac{5}{6}\left(\frac{5}{20}+\frac{3}{20}\right)$$

Since \frac{5}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}\times \frac{5+3}{20}$$

Add 5 and 3 to get 8.

$$\frac{5}{6}\times \frac{8}{20}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}\times \frac{2}{5}$$

Multiply \frac{5}{6} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 2}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$