Solve 1/8+2/8+3/8+1/64

$$\frac { 1 } { 8 } + \frac { 2 } { 8 } + \frac { 3 } { 8 } + \frac { 1 } { 64 }$$

Evaluate

$$\frac{49}{64}=0.765625$$

Solution Steps

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

$$\frac{1+2}{8}+\frac{3}{8}+\frac{1}{64}$$

Add 1 and 2 to get 3.

$$\frac{3}{8}+\frac{3}{8}+\frac{1}{64}$$

Since \frac{3}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+3}{8}+\frac{1}{64}$$

Add 3 and 3 to get 6.

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

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{1}{64}$$

Least common multiple of 4 and 64 is 64. Convert \frac{3}{4} and \frac{1}{64} to fractions with denominator 64.

$$\frac{48}{64}+\frac{1}{64}$$

Since \frac{48}{64} and \frac{1}{64} have the same denominator, add them by adding their numerators.

$$\frac{48+1}{64}$$

Add 48 and 1 to get 49.

$$\frac{49}{64}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {6}} = 0.765625$$