Algebra Examples

$\frac{7}{a} + \frac{14}{a^{2}}$

Step 1

To write $\frac{7}{a}$ as a fraction with a common denominator, multiply by $\frac{a}{a}$ .

$\frac{7}{a} \cdot \frac{a}{a} + \frac{14}{a^{2}}$

Step 2

Write each expression with a common denominator of $a^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{a}$ by $\frac{a}{a}$ .

$\frac{7 a}{a \cdot a} + \frac{14}{a^{2}}$

Step 2.2

Multiply $a$ by $a$ .

$\frac{7 a}{a^{2}} + \frac{14}{a^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 a + 14}{a^{2}}$

Step 4

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

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Step 4.1

Factor $7$ out of $7 a$ .

$\frac{7 (a) + 14}{a^{2}}$

Step 4.2

Factor $7$ out of $14$ .

$\frac{7 a + 7 \cdot 2}{a^{2}}$

Step 4.3

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

$\frac{7 (a + 2)}{a^{2}}$