Solve 3/16+1/8+1/4=

$$\frac { 3 } { 16 } + \frac { 1 } { 8 } + \frac { 1 } { 4 } =$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

Least common multiple of 16 and 8 is 16. Convert \frac{3}{16} and \frac{1}{8} to fractions with denominator 16.

$$\frac{3}{16}+\frac{2}{16}+\frac{1}{4}$$

Since \frac{3}{16} and \frac{2}{16} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{16}+\frac{1}{4}$$

Add 3 and 2 to get 5.

$$\frac{5}{16}+\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{5}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{5}{16}+\frac{4}{16}$$

Since \frac{5}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{16}$$

Add 5 and 4 to get 9.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$