Pre-Algebra Examples

$\frac{4000}{140}$

Step 1

Reduce the expression $\frac{4000}{140}$ by cancelling the common factors.

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Step 1.1

Factor $20$ out of $4000$ .

$\frac{20 (200)}{140}$

Step 1.2

Factor $20$ out of $140$ .

$\frac{20 \cdot 200}{20 \cdot 7}$

Step 1.3

Cancel the common factor.

$\frac{20 \cdot 200}{20 \cdot 7}$

Step 1.4

Rewrite the expression.

$\frac{200}{7}$

Step 2

Set up the division problem in long division format.

$7$

$2$

$0$

Step 3

Divide $20$ by $7$ . Place this digit in the quotient on top of the division symbol.

		$2$
$7$	$2$	$0$	$0$

Step 4

Multiply the newest quotient digit $(2)$ by the divisor $7$ .

Step 5

Subtract $14$ from $20$ .

Step 6

Bring down the next number of the dividend.

Step 7

Divide $60$ by $7$ . Place this digit in the quotient on top of the division symbol.

Step 8

Multiply the newest quotient digit $(8)$ by the divisor $7$ .

Step 9

Subtract $56$ from $60$ .

Step 10

The result of division of $\frac{200}{7}$ is $28$ with a remainder of $4$ .

$28 \frac{4}{7}$