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

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

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

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

Since \frac{8}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{\frac{7}{8}}{\frac{1}{2}}$$

Divide \frac{7}{8} by \frac{1}{2} by multiplying \frac{7}{8} by the reciprocal of \frac{1}{2}.

$$\frac{9}{2}-\frac{7}{8}\times 2$$

Express \frac{7}{8}\times 2 as a single fraction.

$$\frac{9}{2}-\frac{7\times 2}{8}$$

Multiply 7 and 2 to get 14.

$$\frac{9}{2}-\frac{14}{8}$$

Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}-\frac{7}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{9}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{18}{4}-\frac{7}{4}$$

Since \frac{18}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-7}{4}$$

Subtract 7 from 18 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$