Solve 41/4-11/2

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

Evaluate

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

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}-\frac{1\times 2+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{17}{4}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{17}{4}-\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{17}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{17}{4}-\frac{6}{4}$$

Since \frac{17}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-6}{4}$$

Subtract 6 from 17 to get 11.

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

Factor

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