Simplify 1/4(36a+b)

$\frac{1}{4} (36 a + b)$

Step 1

Apply the distributive property.

$\frac{1}{4} (36 a) + \frac{1}{4} b$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $36 a$ .

$\frac{1}{4} (4 (9 a)) + \frac{1}{4} b$

Cancel the common factor.

$\frac{1}{4} (4 (9 a)) + \frac{1}{4} b$

Rewrite the expression.

$9 a + \frac{1}{4} b$

$9 a + \frac{1}{4} b$

Step 3

Combine $\frac{1}{4}$ and $b$ .

$9 a + \frac{b}{4}$

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