Basic Math Examples

$\frac{1}{2} \cdot (6 \cdot 1 + 7) + 11$

Step 1

Simplify each term.

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Step 1.1

Multiply $6$ by $1$ .

$\frac{1}{2} \cdot (6 + 7) + 11$

Step 1.2

Add $6$ and $7$ .

$\frac{1}{2} \cdot 13 + 11$

Step 1.3

Combine $\frac{1}{2}$ and $13$ .

$\frac{13}{2} + 11$

Step 2

To write $11$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{13}{2} + 11 \cdot \frac{2}{2}$

Step 3

Combine $11$ and $\frac{2}{2}$ .

$\frac{13}{2} + \frac{11 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 + 11 \cdot 2}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $11$ by $2$ .

$\frac{13 + 22}{2}$

Step 5.2

Add $13$ and $22$ .

$\frac{35}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{2}$

Decimal Form:

$17.5$

Mixed Number Form:

$17 \frac{1}{2}$