Pre-Algebra Examples

$\frac{a}{6} + \frac{3 a}{6}$

Step 1

Combine the numerators over the common denominator.

$\frac{a + 3 a}{6}$

Step 2

Add $a$ and $3 a$ .

$\frac{4 a}{6}$

Step 3

Cancel the common factor of $4$ and $6$ .

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Step 3.1

Factor $2$ out of $4 a$ .

$\frac{2 (2 a)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $6$ .

$\frac{2 (2 a)}{2 (3)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (2 a)}{2 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{2 a}{3}$