Solve 3/16+5/32+1/4

$$\frac { 3 } { 16 } + \frac { 5 } { 32 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{19}{32}=0.59375$$

Solution Steps

Least common multiple of 16 and 32 is 32. Convert \frac{3}{16} and \frac{5}{32} to fractions with denominator 32.

$$\frac{6}{32}+\frac{5}{32}+\frac{1}{4}$$

Since \frac{6}{32} and \frac{5}{32} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{32}+\frac{1}{4}$$

Add 6 and 5 to get 11.

$$\frac{11}{32}+\frac{1}{4}$$

Least common multiple of 32 and 4 is 32. Convert \frac{11}{32} and \frac{1}{4} to fractions with denominator 32.

$$\frac{11}{32}+\frac{8}{32}$$

Since \frac{11}{32} and \frac{8}{32} have the same denominator, add them by adding their numerators.

$$\frac{11+8}{32}$$

Add 11 and 8 to get 19.

$$\frac{19}{32}$$

Factor

$$\frac{19}{2 ^ {5}} = 0.59375$$