Simplify ((4y-18)/3)(6/(6y-27))

$(\frac{4 y - 18}{3}) (\frac{6}{6 y - 27})$

Step 1

Factor $2$ out of $4 y - 18$ .

Factor $2$ out of $4 y$ .

$\frac{2 (2 y) - 18}{3} \cdot \frac{6}{6 y - 27}$

Factor $2$ out of $- 18$ .

$\frac{2 (2 y) + 2 (- 9)}{3} \cdot \frac{6}{6 y - 27}$

Factor $2$ out of $2 (2 y) + 2 (- 9)$ .

$\frac{2 (2 y - 9)}{3} \cdot \frac{6}{6 y - 27}$

Step 2

Factor $3$ out of $6 y - 27$ .

Factor $3$ out of $6 y$ .

$\frac{2 (2 y - 9)}{3} \cdot \frac{6}{3 (2 y) - 27}$

Factor $3$ out of $- 27$ .

$\frac{2 (2 y - 9)}{3} \cdot \frac{6}{3 (2 y) + 3 (- 9)}$

Factor $3$ out of $3 (2 y) + 3 (- 9)$ .

$\frac{2 (2 y - 9)}{3} \cdot \frac{6}{3 (2 y - 9)}$

Step 3

Cancel the common factor of $2 y - 9$ .

Factor $2 y - 9$ out of $2 (2 y - 9)$ .

$\frac{(2 y - 9) \cdot 2}{3} \cdot \frac{6}{3 (2 y - 9)}$

Factor $2 y - 9$ out of $3 (2 y - 9)$ .

$\frac{(2 y - 9) \cdot 2}{3} \cdot \frac{6}{(2 y - 9) \cdot 3}$

Cancel the common factor.

$\frac{(2 y - 9) \cdot 2}{3} \cdot \frac{6}{(2 y - 9) \cdot 3}$

Rewrite the expression.

$\frac{2}{3} \cdot \frac{6}{3}$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{2}{3} \cdot \frac{3 (2)}{3}$

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 \cdot 2}{3}$

Rewrite the expression.

$2 (\frac{2}{3})$

Step 5

Combine $2$ and $\frac{2}{3}$ .

$\frac{2 \cdot 2}{3}$

Step 6

Multiply $2$ by $2$ .

$\frac{4}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$

Simplify ((4y-18)/3)(6/(6y-27))

Related Questions

Support LCMGCF.com by disabling your adblocker.