Solve 81/4-51/2

$$8 \frac { 1 } { 4 } - 5 \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}-\frac{5\times 2+1}{2}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{33}{4}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{33}{4}-\frac{11}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{33}{4} and \frac{11}{2} to fractions with denominator 4.

$$\frac{33}{4}-\frac{22}{4}$$

Since \frac{33}{4} and \frac{22}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-22}{4}$$

Subtract 22 from 33 to get 11.

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

Factor

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