Solve 2/22+6/30+1/64

$$\frac{ 2 }{ 22 } + \frac{ 6 }{ 30 } + \frac{ 1 }{ 64 }$$

Evaluate

$$\frac{1079}{3520}\approx 0.306534091$$

Solution Steps

Reduce the fraction \frac{2}{22} to lowest terms by extracting and canceling out 2.

$$\frac{1}{11}+\frac{6}{30}+\frac{1}{64}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{11}+\frac{1}{5}+\frac{1}{64}$$

Least common multiple of 11 and 5 is 55. Convert \frac{1}{11} and \frac{1}{5} to fractions with denominator 55.

$$\frac{5}{55}+\frac{11}{55}+\frac{1}{64}$$

Since \frac{5}{55} and \frac{11}{55} have the same denominator, add them by adding their numerators.

$$\frac{5+11}{55}+\frac{1}{64}$$

Add 5 and 11 to get 16.

$$\frac{16}{55}+\frac{1}{64}$$

Least common multiple of 55 and 64 is 3520. Convert \frac{16}{55} and \frac{1}{64} to fractions with denominator 3520.

$$\frac{1024}{3520}+\frac{55}{3520}$$

Since \frac{1024}{3520} and \frac{55}{3520} have the same denominator, add them by adding their numerators.

$$\frac{1024+55}{3520}$$

Add 1024 and 55 to get 1079.

$$\frac{1079}{3520}$$

Factor

$$\frac{13 \cdot 83}{2 ^ {6} \cdot 5 \cdot 11} = 0.3065340909090909$$