Basic Math Examples

$\frac{3 p + 6}{16 p^{2}} \cdot \frac{64 p^{2}}{9 p + 18}$

Step 1

Factor $3$ out of $3 p + 6$ .

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Step 1.1

Factor $3$ out of $3 p$ .

$\frac{3 (p) + 6}{16 p^{2}} \cdot \frac{64 p^{2}}{9 p + 18}$

Step 1.2

Factor $3$ out of $6$ .

$\frac{3 p + 3 \cdot 2}{16 p^{2}} \cdot \frac{64 p^{2}}{9 p + 18}$

Step 1.3

Factor $3$ out of $3 p + 3 \cdot 2$ .

$\frac{3 (p + 2)}{16 p^{2}} \cdot \frac{64 p^{2}}{9 p + 18}$

Step 2

Factor $9$ out of $9 p + 18$ .

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Step 2.1

Factor $9$ out of $9 p$ .

$\frac{3 (p + 2)}{16 p^{2}} \cdot \frac{64 p^{2}}{9 (p) + 18}$

Step 2.2

Factor $9$ out of $18$ .

$\frac{3 (p + 2)}{16 p^{2}} \cdot \frac{64 p^{2}}{9 p + 9 \cdot 2}$

Step 2.3

Factor $9$ out of $9 p + 9 \cdot 2$ .

$\frac{3 (p + 2)}{16 p^{2}} \cdot \frac{64 p^{2}}{9 (p + 2)}$

Step 3

Combine.

$\frac{3 (p + 2) (64 p^{2})}{16 p^{2} (9 (p + 2))}$

Step 4

Cancel the common factor of $3$ and $9$ .

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Step 4.1

Factor $3$ out of $3 (p + 2) (64 p^{2})$ .

$\frac{3 ((p + 2) (64 p^{2}))}{16 p^{2} (9 (p + 2))}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $16 p^{2} (9 (p + 2))$ .

$\frac{3 ((p + 2) (64 p^{2}))}{3 (16 p^{2} (3 (p + 2)))}$

Step 4.2.2

Cancel the common factor.

$\frac{3 ((p + 2) (64 p^{2}))}{3 (16 p^{2} (3 (p + 2)))}$

Step 4.2.3

Rewrite the expression.

$\frac{(p + 2) (64 p^{2})}{16 p^{2} (3 (p + 2))}$

Step 5

Cancel the common factor of $p + 2$ .

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Step 5.1

Cancel the common factor.

$\frac{(p + 2) (64 p^{2})}{16 p^{2} (3 (p + 2))}$

Step 5.2

Rewrite the expression.

$\frac{64 p^{2}}{16 p^{2} \cdot (3)}$

Step 6

Cancel the common factor of $64$ and $16$ .

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Step 6.1

Factor $16$ out of $64 p^{2}$ .

$\frac{16 (4 p^{2})}{16 p^{2} \cdot (3)}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $16$ out of $16 p^{2} \cdot (3)$ .

$\frac{16 (4 p^{2})}{16 (p^{2} \cdot (3))}$

Step 6.2.2

Cancel the common factor.

$\frac{16 (4 p^{2})}{16 (p^{2} \cdot (3))}$

Step 6.2.3

Rewrite the expression.

$\frac{4 p^{2}}{p^{2} \cdot (3)}$

Step 7

Cancel the common factor of $p^{2}$ .

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Step 7.1

Cancel the common factor.

$\frac{4 p^{2}}{p^{2} \cdot 3}$

Step 7.2

Rewrite the expression.

$\frac{4}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$