Basic Math Examples

$\frac{3^{2}}{2} + \frac{1^{4}}{2} - \frac{4}{8}$

Step 1

Combine the numerators over the common denominator.

$\frac{3^{2} + 1^{4}}{2} + \frac{- 4}{8}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Raise $3$ to the power of $2$ .

$\frac{9 + 1^{4}}{2} + \frac{- 4}{8}$

Step 2.2

One to any power is one.

$\frac{9 + 1}{2} + \frac{- 4}{8}$

Step 3

Add $9$ and $1$ .

$\frac{10}{2} + \frac{- 4}{8}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Divide $10$ by $2$ .

$5 + \frac{- 4}{8}$

Step 4.2

Cancel the common factor of $- 4$ and $8$ .

Tap for more steps...

Step 4.2.1

Factor $4$ out of $- 4$ .

$5 + \frac{4 (- 1)}{8}$

Step 4.2.2

Cancel the common factors.

Tap for more steps...

Step 4.2.2.1

Factor $4$ out of $8$ .

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

Step 4.2.2.2

Cancel the common factor.

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

Step 4.2.2.3

Rewrite the expression.

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

Step 4.3

Move the negative in front of the fraction.

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

Step 5

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$5 \cdot \frac{2}{2} - \frac{1}{2}$

Step 6

Combine $5$ and $\frac{2}{2}$ .

$\frac{5 \cdot 2}{2} - \frac{1}{2}$

Step 7

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 - 1}{2}$

Step 8

Simplify the numerator.

Tap for more steps...

Step 8.1

Multiply $5$ by $2$ .

$\frac{10 - 1}{2}$

Step 8.2

Subtract $1$ from $10$ .

$\frac{9}{2}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$