Solve 21/2-71/2+3

$$2 \frac{ 1 }{ 2 } -7 \frac{ 1 }{ 2 } +3$$

Evaluate

$$-2$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}-\frac{7\times 2+1}{2}+3$$

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{7\times 2+1}{2}+3$$

Multiply 7 and 2 to get 14.

$$\frac{5}{2}-\frac{14+1}{2}+3$$

Add 14 and 1 to get 15.

$$\frac{5}{2}-\frac{15}{2}+3$$

Since \frac{5}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-15}{2}+3$$

Subtract 15 from 5 to get -10.

$$\frac{-10}{2}+3$$

Divide -10 by 2 to get -5.

$$-5+3$$

Add -5 and 3 to get -2.

$$-2$$

Factor

$$-2$$