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, add them by adding their numerators.

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

Add -15 and 10 to get -5.

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

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$