Pre-Algebra Examples

\frac{32}{6}

$\frac{32}{6}$

Step 1

Reduce the expression

\frac{32}{6}

$\frac{32}{6}$ by cancelling the common factors.

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Step 1.1

Factor

2

$2$ out of

32

$32$ .

\frac{2 (16)}{6}

$\frac{2 (16)}{6}$

Step 1.2

Factor

2

$2$ out of

6

$6$ .

\frac{2 \cdot 16}{2 \cdot 3}

$\frac{2 \cdot 16}{2 \cdot 3}$

Step 1.3

Cancel the common factor.

\frac{2 \cdot 16}{2 \cdot 3}

$\frac{2 \cdot 16}{2 \cdot 3}$

Step 1.4

Rewrite the expression.

\frac{16}{3}

$\frac{16}{3}$

\frac{16}{3}

$\frac{16}{3}$

Step 2

Set up the division problem in long division format.

3

$3$

1

$1$

6

$6$

Step 3

Divide

16

$16$ by

3

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

		$5$ $5$
$3$ $3$	$1$ $1$	$6$ $6$

Step 4

Multiply the newest quotient digit

(5)

$(5)$ by the divisor

3

$3$ .

Step 5

Subtract

15

$15$ from

16

$16$ .

Step 6

The result of division of

\frac{16}{3}

$\frac{16}{3}$ is

5

$5$ with a remainder of

1

$1$ .

5 \frac{1}{3}

$5 \frac{1}{3}$