Calculus Examples

$\frac{11 b - 2}{6 b} - \frac{7 b}{6 b}$

Step 1

Combine the numerators over the common denominator.

$\frac{11 b - 2 - 7 b}{6 b}$

Step 2

Subtract $7 b$ from $11 b$ .

$\frac{4 b - 2}{6 b}$

Step 3

Cancel the common factor of $4 b - 2$ and $6$ .

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Step 3.1

Factor $2$ out of $4 b$ .

$\frac{2 (2 b) - 2}{6 b}$

Step 3.2

Factor $2$ out of $- 2$ .

$\frac{2 (2 b) + 2 (- 1)}{6 b}$

Step 3.3

Factor $2$ out of $2 (2 b) + 2 (- 1)$ .

$\frac{2 (2 b - 1)}{6 b}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $6 b$ .

$\frac{2 (2 b - 1)}{2 (3 b)}$

Step 3.4.2

Cancel the common factor.

$\frac{2 (2 b - 1)}{2 (3 b)}$

Step 3.4.3

Rewrite the expression.

$\frac{2 b - 1}{3 b}$

$\frac{2 b - 1}{3 b}$

$\frac{2 b - 1}{3 b}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$