Calculus Examples

$2 + \frac{1}{4} \cdot (x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 + \frac{1}{4} x + \frac{1}{4} \cdot - 1$

Step 1.2

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

$2 + \frac{x}{4} + \frac{1}{4} \cdot - 1$

Step 1.3

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

$2 + \frac{x}{4} + \frac{- 1}{4}$

Step 1.4

Move the negative in front of the fraction.

$2 + \frac{x}{4} - \frac{1}{4}$

Step 2

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{x}{4} + 2 \cdot \frac{4}{4} - \frac{1}{4}$

Step 3

Combine $2$ and $\frac{4}{4}$ .

$\frac{x}{4} + \frac{2 \cdot 4}{4} - \frac{1}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{x}{4} + \frac{2 \cdot 4 - 1}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $4$ .

$\frac{x}{4} + \frac{8 - 1}{4}$

Step 5.2

Subtract $1$ from $8$ .

$\frac{x}{4} + \frac{7}{4}$