Basic Math Examples

\frac{100}{8}

$\frac{100}{8}$

Step 1

Reduce the expression

\frac{100}{8}

$\frac{100}{8}$ by cancelling the common factors.

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Step 1.1

Factor

4

$4$ out of

100

$100$ .

\frac{4 (25)}{8}

$\frac{4 (25)}{8}$

Step 1.2

Factor

4

$4$ out of

8

$8$ .

\frac{4 \cdot 25}{4 \cdot 2}

$\frac{4 \cdot 25}{4 \cdot 2}$

Step 1.3

Cancel the common factor.

\frac{4 \cdot 25}{4 \cdot 2}

$\frac{4 \cdot 25}{4 \cdot 2}$

Step 1.4

Rewrite the expression.

\frac{25}{2}

$\frac{25}{2}$

\frac{25}{2}

$\frac{25}{2}$

Step 2

Set up the division problem in long division format.

2

$2$

2

$2$

5

$5$

Step 3

Divide

2

$2$ by

2

$2$ . Place this digit in the quotient on top of the division symbol.

	$1$ $1$
$2$ $2$	$2$ $2$	$5$ $5$

Step 4

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

2

$2$ .

	$1$ $1$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$

Step 5

Subtract

2

$2$ from

2

$2$ .

	$1$ $1$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$
	$0$ $0$

Step 6

Bring down the next number of the dividend.

	$1$ $1$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$
	$0$ $0$	$5$ $5$

Step 7

Divide

5

$5$ by

2

$2$ . Place this digit in the quotient on top of the division symbol.

	$1$ $1$	$2$ $2$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$
	$0$ $0$	$5$ $5$

Step 8

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

2

$2$ .

	$1$ $1$	$2$ $2$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$
	$0$ $0$	$5$ $5$
$-$ $-$		$4$ $4$

Step 9

Subtract

4

$4$ from

5

$5$ .

	$1$ $1$	$2$ $2$
$2$ $2$	$2$ $2$	$5$ $5$
$-$ $-$	$2$ $2$
	$0$ $0$	$5$ $5$
$-$ $-$		$4$ $4$
		$1$ $1$

Step 10

The result of division of

\frac{25}{2}

$\frac{25}{2}$ is

12

$12$ with a remainder of

1

$1$ .

12 \frac{1}{2}

$12 \frac{1}{2}$

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