Algebra Examples

$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 14}$

Step 1

Factor $7$ out of $7 p + 14$ .

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Step 1.1

Factor $7$ out of $7 p$ .

$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 (p) + 14}$

Step 1.2

Factor $7$ out of $14$ .

$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 7 \cdot 2}$

Step 1.3

Factor $7$ out of $7 p + 7 \cdot 2$ .

$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 (p + 2)}$

Step 2

Cancel the common factor of $p + 2$ .

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Step 2.1

Cancel the common factor.

$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 (p + 2)}$

Step 2.2

Rewrite the expression.

$\frac{p + 7}{p - 10} \cdot \frac{1}{7}$

Step 3

Multiply $\frac{p + 7}{p - 10}$ by $\frac{1}{7}$ .

$\frac{p + 7}{(p - 10) \cdot 7}$

Step 4

Move $7$ to the left of $p - 10$ .

$\frac{p + 7}{7 (p - 10)}$