Solve 13/4-1/2/2

$$\frac { \frac { 13 } { 4 } - \frac { 1 } { 2 } } { 2 }$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{13}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{\frac{13}{4}-\frac{2}{4}}{2}$$

Since \frac{13}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{13-2}{4}}{2}$$

Subtract 2 from 13 to get 11.

$$\frac{\frac{11}{4}}{2}$$

Express \frac{\frac{11}{4}}{2} as a single fraction.

$$\frac{11}{4\times 2}$$

Multiply 4 and 2 to get 8.

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

Factor

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