Solve -4+12-(-21/2)

$$-4+12-(-2 \frac{ 1 }{ 2 } )$$

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Add -4 and 12 to get 8.

$$8-\left(-\frac{2\times 2+1}{2}\right)$$

Multiply 2 and 2 to get 4.

$$8-\left(-\frac{4+1}{2}\right)$$

Add 4 and 1 to get 5.

$$8-\left(-\frac{5}{2}\right)$$

The opposite of -\frac{5}{2} is \frac{5}{2}.

$$8+\frac{5}{2}$$

Convert 8 to fraction \frac{16}{2}.

$$\frac{16}{2}+\frac{5}{2}$$

Since \frac{16}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{2}$$

Add 16 and 5 to get 21.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$