Pre-Algebra Examples

$\frac{\frac{2 v - 12}{121}}{v - \frac{6}{33}}$

Step 1

Split the fraction $\frac{2 v - 12}{121}$ into two fractions.

$\frac{\frac{2 v}{121} + \frac{- 12}{121}}{v - \frac{6}{33}}$

Step 2

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$v$

$\frac{6}{33}$

$\frac{2 v}{121}$

$\frac{- 12}{121}$

Step 3

Divide the highest order term in the dividend $\frac{2 v}{121}$ by the highest order term in divisor $v$ .

					$\frac{2}{121}$
	$v$	-	$\frac{6}{33}$		$\frac{2 v}{121}$	+	$\frac{- 12}{121}$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $\frac{2 v}{121} - \frac{4}{1331}$

Step 6

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Step 7

The final answer is the quotient plus the remainder over the divisor.

$\frac{2}{121} - \frac{128}{1331 (v - \frac{6}{33})}$