Basic Math Examples

$\frac{4 p - 4}{p} \div \frac{7 p - 7}{8 p^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 p - 4}{p} \cdot \frac{8 p^{2}}{7 p - 7}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $p$ .

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Step 2.1.1

Factor $p$ out of $8 p^{2}$ .

$\frac{4 p - 4}{p} \cdot \frac{p (8 p)}{7 p - 7}$

Step 2.1.2

Cancel the common factor.

$\frac{4 p - 4}{p} \cdot \frac{p (8 p)}{7 p - 7}$

Step 2.1.3

Rewrite the expression.

$(4 p - 4) \frac{8 p}{7 p - 7}$

$(4 p - 4) \frac{8 p}{7 p - 7}$

Step 2.2

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

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Step 2.2.1

Factor $7$ out of $7 p$ .

$(4 p - 4) \frac{8 p}{7 (p) - 7}$

Step 2.2.2

Factor $7$ out of $- 7$ .

$(4 p - 4) \frac{8 p}{7 (p) + 7 (- 1)}$

Step 2.2.3

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

$(4 p - 4) \frac{8 p}{7 (p - 1)}$

$(4 p - 4) \frac{8 p}{7 (p - 1)}$

Step 2.3

Multiply $4 p - 4$ by $\frac{8 p}{7 (p - 1)}$ .

$\frac{(4 p - 4) (8 p)}{7 (p - 1)}$

$\frac{(4 p - 4) (8 p)}{7 (p - 1)}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $4$ out of $4 p - 4$ .

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Step 3.1.1

Factor $4$ out of $4 p$ .

$\frac{(4 (p) - 4) \cdot 8 p}{7 (p - 1)}$

Step 3.1.2

Factor $4$ out of $- 4$ .

$\frac{(4 (p) + 4 (- 1)) \cdot 8 p}{7 (p - 1)}$

Step 3.1.3

Factor $4$ out of $4 (p) + 4 (- 1)$ .

$\frac{4 (p - 1) \cdot 8 p}{7 (p - 1)}$

$\frac{4 (p - 1) \cdot 8 p}{7 (p - 1)}$

Step 3.2

Multiply $8$ by $4$ .

$\frac{32 (p - 1) p}{7 (p - 1)}$

$\frac{32 (p - 1) p}{7 (p - 1)}$

Step 4

Cancel the common factor of $p - 1$ .

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Step 4.1

Cancel the common factor.

$\frac{32 (p - 1) p}{7 (p - 1)}$

Step 4.2

Rewrite the expression.

$\frac{32 p}{7}$

$\frac{32 p}{7}$

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