Solve -21/2+11/4

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

Evaluate

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

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

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

$$-\frac{10}{4}+\frac{5}{4}$$

Since -\frac{10}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{-10+5}{4}$$

Add -10 and 5 to get -5.

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

Factor

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