Solve 0+1/32+1/16+1/16+1/8

$$0 + \frac { 1 } { 32 } + \frac { 1 } { 16 } + \frac { 1 } { 16 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{9}{32}=0.28125$$

Solution Steps

Add 0 and \frac{1}{32} to get \frac{1}{32}.

$$\frac{1}{32}+\frac{1}{16}+\frac{1}{16}+\frac{1}{8}$$

Least common multiple of 32 and 16 is 32. Convert \frac{1}{32} and \frac{1}{16} to fractions with denominator 32.

$$\frac{1}{32}+\frac{2}{32}+\frac{1}{16}+\frac{1}{8}$$

Since \frac{1}{32} and \frac{2}{32} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{32}+\frac{1}{16}+\frac{1}{8}$$

Add 1 and 2 to get 3.

$$\frac{3}{32}+\frac{1}{16}+\frac{1}{8}$$

Least common multiple of 32 and 16 is 32. Convert \frac{3}{32} and \frac{1}{16} to fractions with denominator 32.

$$\frac{3}{32}+\frac{2}{32}+\frac{1}{8}$$

Since \frac{3}{32} and \frac{2}{32} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{32}+\frac{1}{8}$$

Add 3 and 2 to get 5.

$$\frac{5}{32}+\frac{1}{8}$$

Least common multiple of 32 and 8 is 32. Convert \frac{5}{32} and \frac{1}{8} to fractions with denominator 32.

$$\frac{5}{32}+\frac{4}{32}$$

Since \frac{5}{32} and \frac{4}{32} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{32}$$

Add 5 and 4 to get 9.

$$\frac{9}{32}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5}} = 0.28125$$