Solve 11/16-3/16+7/8=

$$\frac { 11 } { 16 } - \frac { 3 } { 16 } + \frac { 7 } { 8 } =$$

Evaluate

$$\frac{11}{8}=1.375$$

Solution Steps

Since \frac{11}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3}{16}+\frac{7}{8}$$

Subtract 3 from 11 to get 8.

$$\frac{8}{16}+\frac{7}{8}$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$\frac{1}{2}+\frac{7}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{7}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{7}{8}$$

Since \frac{4}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+7}{8}$$

Add 4 and 7 to get 11.

$$\frac{11}{8}$$

Factor

$$\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375$$