Algebra Examples

$\frac{13 a}{4 a^{2}} + \frac{5 a}{4 a^{2}}$

Step 1

Combine the numerators over the common denominator.

$\frac{13 a + 5 a}{4 a^{2}}$

Step 2

Add $13 a$ and $5 a$ .

$\frac{18 a}{4 a^{2}}$

Step 3

Cancel the common factor of $18$ and $4$ .

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Step 3.1

Factor $2$ out of $18 a$ .

$\frac{2 (9 a)}{4 a^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4 a^{2}$ .

$\frac{2 (9 a)}{2 (2 a^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (9 a)}{2 (2 a^{2})}$

Step 3.2.3

Rewrite the expression.

$\frac{9 a}{2 a^{2}}$

$\frac{9 a}{2 a^{2}}$

$\frac{9 a}{2 a^{2}}$

Step 4

Cancel the common factor of $a$ and $a^{2}$ .

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Step 4.1

Factor $a$ out of $9 a$ .

$\frac{a \cdot 9}{2 a^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $a$ out of $2 a^{2}$ .

$\frac{a \cdot 9}{a (2 a)}$

Step 4.2.2

Cancel the common factor.

$\frac{a \cdot 9}{a (2 a)}$

Step 4.2.3

Rewrite the expression.

$\frac{9}{2 a}$

$\frac{9}{2 a}$

$\frac{9}{2 a}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$