Basic Math Examples

$\frac{1}{6} \cdot (12 a^{2} - 24 a + 5)$

Step 1

Apply the distributive property.

$\frac{1}{6} (12 a^{2}) + \frac{1}{6} (- 24 a) + \frac{1}{6} \cdot 5$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Factor $6$ out of $12 a^{2}$ .

$\frac{1}{6} (6 (2 a^{2})) + \frac{1}{6} (- 24 a) + \frac{1}{6} \cdot 5$

Step 2.1.2

Cancel the common factor.

$\frac{1}{6} (6 (2 a^{2})) + \frac{1}{6} (- 24 a) + \frac{1}{6} \cdot 5$

Step 2.1.3

Rewrite the expression.

$2 a^{2} + \frac{1}{6} (- 24 a) + \frac{1}{6} \cdot 5$

Step 2.2

Cancel the common factor of $6$ .

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Step 2.2.1

Factor $6$ out of $- 24 a$ .

$2 a^{2} + \frac{1}{6} (6 (- 4 a)) + \frac{1}{6} \cdot 5$

Step 2.2.2

Cancel the common factor.

$2 a^{2} + \frac{1}{6} (6 (- 4 a)) + \frac{1}{6} \cdot 5$

Step 2.2.3

Rewrite the expression.

$2 a^{2} - 4 a + \frac{1}{6} \cdot 5$

Step 2.3

Combine $\frac{1}{6}$ and $5$ .

$2 a^{2} - 4 a + \frac{5}{6}$