Solve (1/8+1/16+1/4)

$$( \frac { 1 } { 8 } + \frac { 1 } { 16 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

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

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

Since \frac{2}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

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

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

Since \frac{3}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$