Pre-Algebra Examples

\frac{52}{4}

$\frac{52}{4}$

Step 1

Reduce the expression

\frac{52}{4}

$\frac{52}{4}$ by cancelling the common factors.

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Step 1.1

Factor

4

$4$ out of

52

$52$ .

\frac{4 \cdot 13}{4}

$\frac{4 \cdot 13}{4}$

Step 1.2

Factor

4

$4$ out of

4

$4$ .

\frac{4 \cdot 13}{4 (1)}

$\frac{4 \cdot 13}{4 (1)}$

Step 1.3

Cancel the common factor.

\frac{4 \cdot 13}{4 \cdot 1}

$\frac{4 \cdot 13}{4 \cdot 1}$

Step 1.4

Rewrite the expression.

\frac{13}{1}

$\frac{13}{1}$

\frac{13}{1}

$\frac{13}{1}$

Step 2

Set up the division problem in long division format.

1

$1$

1

$1$

3

$3$

Step 3

Divide

1

$1$ by

1

$1$ . Place this digit in the quotient on top of the division symbol.

	$1$ $1$
$1$ $1$	$1$ $1$	$3$ $3$

Step 4

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

1

$1$ .

	$1$ $1$
$1$ $1$	$1$ $1$	$3$ $3$
$-$ $-$	$1$ $1$

Step 5

Subtract

1

$1$ from

1

$1$ .

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

Step 6

Bring down the next number of the dividend.

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

Step 7

Divide

3

$3$ by

1

$1$ . Place this digit in the quotient on top of the division symbol.

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

Step 8

Multiply the newest quotient digit

(3)

$(3)$ by the divisor

1

$1$ .

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

Step 9

Subtract

3

$3$ from

3

$3$ .

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

Step 10

The result of division of

\frac{13}{1}

$\frac{13}{1}$ is

13

$13$ .

13

$13$

\frac{52}{4}

$\frac{52}{4}$

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