Calculus Examples

$4 - \frac{7}{6} \cdot (x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 - \frac{7}{6} x - \frac{7}{6} \cdot - 1$

Step 1.2

Combine $x$ and $\frac{7}{6}$ .

$4 - \frac{x \cdot 7}{6} - \frac{7}{6} \cdot - 1$

Step 1.3

Multiply $- \frac{7}{6} \cdot - 1$ .

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Step 1.3.1

Multiply $- 1$ by $- 1$ .

$4 - \frac{x \cdot 7}{6} + 1 (\frac{7}{6})$

Step 1.3.2

Multiply $\frac{7}{6}$ by $1$ .

$4 - \frac{x \cdot 7}{6} + \frac{7}{6}$

Step 1.4

Move $7$ to the left of $x$ .

$4 - \frac{7 x}{6} + \frac{7}{6}$

Step 2

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{7 x}{6} + 4 \cdot \frac{6}{6} + \frac{7}{6}$

Step 3

Combine $4$ and $\frac{6}{6}$ .

$- \frac{7 x}{6} + \frac{4 \cdot 6}{6} + \frac{7}{6}$

Step 4

Combine the numerators over the common denominator.

$- \frac{7 x}{6} + \frac{4 \cdot 6 + 7}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $6$ .

$- \frac{7 x}{6} + \frac{24 + 7}{6}$

Step 5.2

Add $24$ and $7$ .

$- \frac{7 x}{6} + \frac{31}{6}$