Solve 7/8+1/2-3/4-3/8=

$$\frac { 7 } { 8 } + \frac { 1 } { 2 } - \frac { 3 } { 4 } - \frac { 3 } { 8 } =$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

$$\frac{7}{8}+\frac{4}{8}-\frac{3}{4}-\frac{3}{8}$$

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

$$\frac{7+4}{8}-\frac{3}{4}-\frac{3}{8}$$

Add 7 and 4 to get 11.

$$\frac{11}{8}-\frac{3}{4}-\frac{3}{8}$$

Least common multiple of 8 and 4 is 8. Convert \frac{11}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{11}{8}-\frac{6}{8}-\frac{3}{8}$$

Since \frac{11}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{8}-\frac{3}{8}$$

Subtract 6 from 11 to get 5.

$$\frac{5}{8}-\frac{3}{8}$$

Since \frac{5}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{8}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$