Pre-Algebra Examples

$\frac{9 y}{6 y - 5}$

Step 1

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

$6 y$

$5$

$9 y$

$0$

Step 2

Divide the highest order term in the dividend $9 y$ by the highest order term in divisor $6 y$ .

					$\frac{3}{2}$
	$6 y$	-	$5$		$9 y$	+	$0$

Step 3

Multiply the new quotient term by the divisor.

Step 4

The expression needs to be subtracted from the dividend, so change all the signs in $9 y - \frac{15}{2}$

Step 5

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

Step 6

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

$\frac{3}{2} + \frac{15}{2 (6 y - 5)}$