Basic Math Examples

9 \div 6 + 3

$9 \div 6 + 3$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

\frac{9}{6} + 3

$\frac{9}{6} + 3$

Step 1.2

Cancel the common factor of

9

$9$ and

6

$6$ .

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Step 1.2.1

Factor

3

$3$ out of

9

$9$ .

\frac{3 (3)}{6} + 3

$\frac{3 (3)}{6} + 3$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 \cdot 3}{3 \cdot 2} + 3

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

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

Step 2

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

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

Step 3

Combine

$3$ and

$\frac{2}{2}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$2$ .

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

Step 5.2

Add

$3$ and

$6$ .

$\frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$