Solve 2/22+6/30+8/64

$$\frac{ 2 }{ 22 } + \frac{ 6 }{ 30 } + \frac{ 8 }{ 64 }$$

Evaluate

$$\frac{183}{440}\approx 0.415909091$$

Solution Steps

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

$$\frac{1}{11}+\frac{6}{30}+\frac{8}{64}$$

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

$$\frac{1}{11}+\frac{1}{5}+\frac{8}{64}$$

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

$$\frac{5}{55}+\frac{11}{55}+\frac{8}{64}$$

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

$$\frac{5+11}{55}+\frac{8}{64}$$

Add 5 and 11 to get 16.

$$\frac{16}{55}+\frac{8}{64}$$

Reduce the fraction \frac{8}{64} to lowest terms by extracting and canceling out 8.

$$\frac{16}{55}+\frac{1}{8}$$

Least common multiple of 55 and 8 is 440. Convert \frac{16}{55} and \frac{1}{8} to fractions with denominator 440.

$$\frac{128}{440}+\frac{55}{440}$$

Since \frac{128}{440} and \frac{55}{440} have the same denominator, add them by adding their numerators.

$$\frac{128+55}{440}$$

Add 128 and 55 to get 183.

$$\frac{183}{440}$$

Factor

$$\frac{3 \cdot 61}{2 ^ {3} \cdot 5 \cdot 11} = 0.4159090909090909$$