Precalculus Examples

$\frac{5 v}{12 u} + 5 v$

Step 1

To write $5 v$ as a fraction with a common denominator, multiply by $\frac{12 u}{12 u}$ .

$\frac{5 v}{12 u} + 5 v \cdot \frac{12 u}{12 u}$

Step 2

Combine $5 v$ and $\frac{12 u}{12 u}$ .

$\frac{5 v}{12 u} + \frac{5 v (12 u)}{12 u}$

Step 3

Combine the numerators over the common denominator.

$\frac{5 v + 5 v (12 u)}{12 u}$

Step 4

Factor $5 v$ out of $5 v + 5 v \cdot 12 u$ .

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Step 4.1

Factor $5 v$ out of $5 v$ .

$\frac{5 v (1) + 5 v \cdot 12 u}{12 u}$

Step 4.2

Factor $5 v$ out of $5 v \cdot 12 u$ .

$\frac{5 v (1) + 5 v (12 u)}{12 u}$

Step 4.3

Factor $5 v$ out of $5 v (1) + 5 v (12 u)$ .

$\frac{5 v (1 + 12 u)}{12 u}$