Basic Math Examples

$\frac{7 p - 7}{p} \div \frac{8 p - 8}{3 p^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7 p - 7}{p} \cdot \frac{3 p^{2}}{8 p - 8}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Cancel the common factor of $p$ .

Tap for more steps...

Step 2.1.1

Factor $p$ out of $3 p^{2}$ .

$\frac{7 p - 7}{p} \cdot \frac{p (3 p)}{8 p - 8}$

Step 2.1.2

Cancel the common factor.

$\frac{7 p - 7}{p} \cdot \frac{p (3 p)}{8 p - 8}$

Step 2.1.3

Rewrite the expression.

$(7 p - 7) \frac{3 p}{8 p - 8}$

$(7 p - 7) \frac{3 p}{8 p - 8}$

Step 2.2

Factor $8$ out of $8 p - 8$ .

Tap for more steps...

Step 2.2.1

Factor $8$ out of $8 p$ .

$(7 p - 7) \frac{3 p}{8 (p) - 8}$

Step 2.2.2

Factor $8$ out of $- 8$ .

$(7 p - 7) \frac{3 p}{8 (p) + 8 (- 1)}$

Step 2.2.3

Factor $8$ out of $8 (p) + 8 (- 1)$ .

$(7 p - 7) \frac{3 p}{8 (p - 1)}$

$(7 p - 7) \frac{3 p}{8 (p - 1)}$

Step 2.3

Multiply $7 p - 7$ by $\frac{3 p}{8 (p - 1)}$ .

$\frac{(7 p - 7) (3 p)}{8 (p - 1)}$

$\frac{(7 p - 7) (3 p)}{8 (p - 1)}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Factor $7$ out of $7 p - 7$ .

Tap for more steps...

Step 3.1.1

Factor $7$ out of $7 p$ .

$\frac{(7 (p) - 7) \cdot 3 p}{8 (p - 1)}$

Step 3.1.2

Factor $7$ out of $- 7$ .

$\frac{(7 (p) + 7 (- 1)) \cdot 3 p}{8 (p - 1)}$

Step 3.1.3

Factor $7$ out of $7 (p) + 7 (- 1)$ .

$\frac{7 (p - 1) \cdot 3 p}{8 (p - 1)}$

$\frac{7 (p - 1) \cdot 3 p}{8 (p - 1)}$

Step 3.2

Multiply $3$ by $7$ .

$\frac{21 (p - 1) p}{8 (p - 1)}$

$\frac{21 (p - 1) p}{8 (p - 1)}$

Step 4

Cancel the common factor of $p - 1$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{21 (p - 1) p}{8 (p - 1)}$

Step 4.2

Rewrite the expression.

$\frac{21 p}{8}$

$\frac{21 p}{8}$

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