Basic Math Examples

$\frac{6 y - 12}{11 y + 9} \cdot \frac{44 y + 36}{36 y - 72}$

Step 1

Factor $6$ out of $6 y - 12$ .

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Step 1.1

Factor $6$ out of $6 y$ .

$\frac{6 (y) - 12}{11 y + 9} \cdot \frac{44 y + 36}{36 y - 72}$

Step 1.2

Factor $6$ out of $- 12$ .

$\frac{6 y + 6 \cdot - 2}{11 y + 9} \cdot \frac{44 y + 36}{36 y - 72}$

Step 1.3

Factor $6$ out of $6 y + 6 \cdot - 2$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{44 y + 36}{36 y - 72}$

Step 2

Factor $4$ out of $44 y + 36$ .

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Step 2.1

Factor $4$ out of $44 y$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y) + 36}{36 y - 72}$

Step 2.2

Factor $4$ out of $36$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y) + 4 (9)}{36 y - 72}$

Step 2.3

Factor $4$ out of $4 (11 y) + 4 (9)$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{36 y - 72}$

Step 3

Factor $36$ out of $36 y - 72$ .

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Step 3.1

Factor $36$ out of $36 y$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{36 (y) - 72}$

Step 3.2

Factor $36$ out of $- 72$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{36 y + 36 \cdot - 2}$

Step 3.3

Factor $36$ out of $36 y + 36 \cdot - 2$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{36 (y - 2)}$

Step 4

Cancel the common factor of $6 (y - 2)$ .

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Step 4.1

Factor $6 (y - 2)$ out of $36 (y - 2)$ .

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{6 (y - 2) (6)}$

Step 4.2

Cancel the common factor.

$\frac{6 (y - 2)}{11 y + 9} \cdot \frac{4 (11 y + 9)}{6 (y - 2) \cdot 6}$

Step 4.3

Rewrite the expression.

$\frac{1}{11 y + 9} \cdot \frac{4 (11 y + 9)}{6}$

Step 5

Cancel the common factor of $11 y + 9$ .

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Step 5.1

Factor $11 y + 9$ out of $4 (11 y + 9)$ .

$\frac{1}{11 y + 9} \cdot \frac{(11 y + 9) \cdot 4}{6}$

Step 5.2

Cancel the common factor.

$\frac{1}{11 y + 9} \cdot \frac{(11 y + 9) \cdot 4}{6}$

Step 5.3

Rewrite the expression.

$\frac{4}{6}$

Step 6

Cancel the common factor of $4$ and $6$ .

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Step 6.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{6}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $6$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$