Solve 1+1/2-7/16

$$1 + \frac { 1 } { 2 } - \frac { 7 } { 16 }$$

Evaluate

$$\frac{17}{16}=1.0625$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}+\frac{1}{2}-\frac{7}{16}$$

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

$$\frac{2+1}{2}-\frac{7}{16}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}-\frac{7}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{3}{2} and \frac{7}{16} to fractions with denominator 16.

$$\frac{24}{16}-\frac{7}{16}$$

Since \frac{24}{16} and \frac{7}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-7}{16}$$

Subtract 7 from 24 to get 17.

$$\frac{17}{16}$$

Factor

$$\frac{17}{2 ^ {4}} = 1\frac{1}{16} = 1.0625$$