Algebra Examples

$\frac{7 r}{20 r + 10} \cdot \frac{20 r + 10}{r - 2}$

Step 1

Factor $10$ out of $20 r + 10$ .

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Step 1.1

Factor $10$ out of $20 r$ .

$\frac{7 r}{10 (2 r) + 10} \cdot \frac{20 r + 10}{r - 2}$

Step 1.2

Factor $10$ out of $10$ .

$\frac{7 r}{10 (2 r) + 10 (1)} \cdot \frac{20 r + 10}{r - 2}$

Step 1.3

Factor $10$ out of $10 (2 r) + 10 (1)$ .

$\frac{7 r}{10 (2 r + 1)} \cdot \frac{20 r + 10}{r - 2}$

Step 2

Factor $10$ out of $20 r + 10$ .

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Step 2.1

Factor $10$ out of $20 r$ .

$\frac{7 r}{10 (2 r + 1)} \cdot \frac{10 (2 r) + 10}{r - 2}$

Step 2.2

Factor $10$ out of $10$ .

$\frac{7 r}{10 (2 r + 1)} \cdot \frac{10 (2 r) + 10 (1)}{r - 2}$

Step 2.3

Factor $10$ out of $10 (2 r) + 10 (1)$ .

$\frac{7 r}{10 (2 r + 1)} \cdot \frac{10 (2 r + 1)}{r - 2}$

Step 3

Cancel the common factor of $10 (2 r + 1)$ .

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Step 3.1

Cancel the common factor.

$\frac{7 r}{10 (2 r + 1)} \cdot \frac{10 (2 r + 1)}{r - 2}$

Step 3.2

Rewrite the expression.

$7 r \cdot \frac{1}{r - 2}$

Step 4

Combine $7$ and $\frac{1}{r - 2}$ .

$r \cdot \frac{7}{r - 2}$

Step 5

Combine $r$ and $\frac{7}{r - 2}$ .

$\frac{r \cdot 7}{r - 2}$

Step 6

Move $7$ to the left of $r$ .

$\frac{7 r}{r - 2}$