Basic Math Examples

$1 - \frac{15}{2} + 4^{2}$

Step 1

Find the common denominator.

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Step 1.1

Write $1$ as a fraction with denominator $1$ .

$\frac{1}{1} - \frac{15}{2} + 4^{2}$

Step 1.2

Multiply $\frac{1}{1}$ by $\frac{2}{2}$ .

$\frac{1}{1} \cdot \frac{2}{2} - \frac{15}{2} + 4^{2}$

Step 1.3

Multiply $\frac{1}{1}$ by $\frac{2}{2}$ .

$\frac{2}{2} - \frac{15}{2} + 4^{2}$

Step 1.4

Write $4^{2}$ as a fraction with denominator $1$ .

$\frac{2}{2} - \frac{15}{2} + \frac{4^{2}}{1}$

Step 1.5

Multiply $\frac{4^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{2}{2} - \frac{15}{2} + \frac{4^{2}}{1} \cdot \frac{2}{2}$

Step 1.6

Multiply $\frac{4^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{2}{2} - \frac{15}{2} + \frac{4^{2} \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 - 15 + 4^{2} \cdot 2}{2}$

Step 3

Simplify each term.

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Step 3.1

Raise $4$ to the power of $2$ .

$\frac{2 - 15 + 16 \cdot 2}{2}$

Step 3.2

Multiply $16$ by $2$ .

$\frac{2 - 15 + 32}{2}$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Subtract $15$ from $2$ .

$\frac{- 13 + 32}{2}$

Step 4.2

Add $- 13$ and $32$ .

$\frac{19}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{2}$

Decimal Form:

$9.5$

Mixed Number Form:

$9 \frac{1}{2}$