Precalculus Examples

$9 (\frac{x + 9}{4}) - 4$

Step 1

Combine $9$ and $\frac{x + 9}{4}$ .

$\frac{9 (x + 9)}{4} - 4$

Step 2

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{9 (x + 9)}{4} - 4 \cdot \frac{4}{4}$

Step 3

Simplify terms.

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Step 3.1

Combine $- 4$ and $\frac{4}{4}$ .

$\frac{9 (x + 9)}{4} + \frac{- 4 \cdot 4}{4}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{9 (x + 9) - 4 \cdot 4}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{9 x + 9 \cdot 9 - 4 \cdot 4}{4}$

Step 4.2

Multiply $9$ by $9$ .

$\frac{9 x + 81 - 4 \cdot 4}{4}$

Step 4.3

Multiply $- 4$ by $4$ .

$\frac{9 x + 81 - 16}{4}$

Step 4.4

Subtract $16$ from $81$ .

$\frac{9 x + 65}{4}$