Basic Math Examples

\frac{30}{9}

$\frac{30}{9}$

Step 1

Reduce the expression

\frac{30}{9}

$\frac{30}{9}$ by cancelling the common factors.

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Step 1.1

Factor

3

$3$ out of

30

$30$ .

\frac{3 (10)}{9}

$\frac{3 (10)}{9}$

Step 1.2

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot 10}{3 \cdot 3}

$\frac{3 \cdot 10}{3 \cdot 3}$

Step 1.3

Cancel the common factor.

$\frac{3 \cdot 10}{3 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{10}{3}$

Step 2

Set up the division problem in long division format.

$3$

$1$

$0$

Step 3

Divide

$10$ by

$3$ . Place this digit in the quotient on top of the division symbol.

		$3$
$3$	$1$	$0$

Step 4

Multiply the newest quotient digit

$(3)$ by the divisor

$3$ .

Step 5

Subtract

$9$ from

$10$ .

Step 6

The result of division of

$\frac{10}{3}$ is

$3$ with a remainder of

$1$ .

$3 \frac{1}{3}$