Pre-Algebra Examples

\frac{420}{15}

$\frac{420}{15}$

Step 1

Reduce the expression

\frac{420}{15}

$\frac{420}{15}$ by cancelling the common factors.

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Step 1.1

Factor

15

$15$ out of

420

$420$ .

\frac{15 \cdot 28}{15}

$\frac{15 \cdot 28}{15}$

Step 1.2

Factor

15

$15$ out of

15

$15$ .

\frac{15 \cdot 28}{15 (1)}

$\frac{15 \cdot 28}{15 (1)}$

Step 1.3

Cancel the common factor.

$\frac{15 \cdot 28}{15 \cdot 1}$

Step 1.4

Rewrite the expression.

$\frac{28}{1}$

Step 2

Set up the division problem in long division format.

$1$

$2$

$8$

Step 3

Divide

$2$ by

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

	$2$
$1$	$2$	$8$

Step 4

Multiply the newest quotient digit

$(2)$ by the divisor

$1$ .

	$2$
$1$	$2$	$8$
$-$	$2$

Step 5

Subtract

$2$ from

$2$ .

	$2$
$1$	$2$	$8$
$-$	$2$
	$0$

Step 6

Bring down the next number of the dividend.

	$2$
$1$	$2$	$8$
$-$	$2$
	$0$	$8$

Step 7

Divide

$8$ by

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

	$2$	$8$
$1$	$2$	$8$
$-$	$2$
	$0$	$8$

Step 8

Multiply the newest quotient digit

$(8)$ by the divisor

$1$ .

	$2$	$8$
$1$	$2$	$8$
$-$	$2$
	$0$	$8$
$-$		$8$

Step 9

Subtract

$8$ from

$8$ .

	$2$	$8$
$1$	$2$	$8$
$-$	$2$
	$0$	$8$
$-$		$8$
		$0$

Step 10

The result of division of

$\frac{28}{1}$ is

$28$ .

$28$