Basic Math Examples

${(- 3)}^{2} + 4 \cdot 2 \div (- 13)$

Step 1

Multiply $4$ by $2$ .

${(- 3)}^{2} + 8 \div (- 13)$

Step 2

Simplify each term.

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Step 2.1

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

$9 + 8 \div (- 13)$

Step 2.2

Rewrite the division as a fraction.

$9 + \frac{8}{- 13}$

Step 2.3

Move the negative in front of the fraction.

$9 - \frac{8}{13}$

Step 3

To write $9$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$9 \cdot \frac{13}{13} - \frac{8}{13}$

Step 4

Combine $9$ and $\frac{13}{13}$ .

$\frac{9 \cdot 13}{13} - \frac{8}{13}$

Step 5

Combine the numerators over the common denominator.

$\frac{9 \cdot 13 - 8}{13}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $9$ by $13$ .

$\frac{117 - 8}{13}$

Step 6.2

Subtract $8$ from $117$ .

$\frac{109}{13}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{109}{13}$

Decimal Form:

$8.\overline{384615}$

Mixed Number Form:

$8 \frac{5}{13}$