Basic Math Examples

$(18 + 20 - 4) \div 6 + 3^{2}$

Step 1

Simplify by adding and subtracting.

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Step 1.1

Add $18$ and $20$ .

$(38 - 4) \div 6 + 3^{2}$

Step 1.2

Subtract $4$ from $38$ .

$34 \div 6 + 3^{2}$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$\frac{34}{6} + 3^{2}$

Step 2.2

Cancel the common factor of $34$ and $6$ .

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Step 2.2.1

Factor $2$ out of $34$ .

$\frac{2 (17)}{6} + 3^{2}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 17}{2 \cdot 3} + 3^{2}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 17}{2 \cdot 3} + 3^{2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{17}{3} + 3^{2}$

Step 2.3

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

$\frac{17}{3} + 9$

Step 3

To write $9$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{17}{3} + 9 \cdot \frac{3}{3}$

Step 4

Combine $9$ and $\frac{3}{3}$ .

$\frac{17}{3} + \frac{9 \cdot 3}{3}$

Step 5

Combine the numerators over the common denominator.

$\frac{17 + 9 \cdot 3}{3}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $9$ by $3$ .

$\frac{17 + 27}{3}$

Step 6.2

Add $17$ and $27$ .

$\frac{44}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{44}{3}$

Decimal Form:

$14.\overline{6}$

Mixed Number Form:

$14 \frac{2}{3}$