Algebra Examples

$4 + (27 - 12 \cdot 2) \div 2$

Step 1

Multiply $- 12$ by $2$ .

$4 + (27 - 24) \div 2$

Step 2

Subtract $24$ from $27$ .

$4 + 3 \div 2$

Step 3

Rewrite the division as a fraction.

$4 + \frac{3}{2}$

Step 4

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$4 \cdot \frac{2}{2} + \frac{3}{2}$

Step 5

Combine $4$ and $\frac{2}{2}$ .

$\frac{4 \cdot 2}{2} + \frac{3}{2}$

Step 6

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 3}{2}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $4$ by $2$ .

$\frac{8 + 3}{2}$

Step 7.2

Add $8$ and $3$ .

$\frac{11}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{2}$

Decimal Form:

$5.5$

Mixed Number Form:

$5 \frac{1}{2}$