Solve 1/2+1/4+1/16=

$$\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 16 } =$$

Evaluate

$$\frac{13}{16}=0.8125$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{1}{4}+\frac{1}{16}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}+\frac{1}{16}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}+\frac{1}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{1}{16} to fractions with denominator 16.

$$\frac{12}{16}+\frac{1}{16}$$

Since \frac{12}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{16}$$

Add 12 and 1 to get 13.

$$\frac{13}{16}$$

Factor

$$\frac{13}{2 ^ {4}} = 0.8125$$