Solve 33/4-21/2

$$3 \frac { 3 } { 4 } - 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}-\frac{2\times 2+1}{2}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{15}{4}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{15}{4}-\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{15}{4}-\frac{10}{4}$$

Since \frac{15}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-10}{4}$$

Subtract 10 from 15 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$