Algebra Examples

$7 p \cdot \frac{1}{2} x^{2} \div \frac{p}{4} - 7 x$

Step 1

To divide by a fraction, multiply by its reciprocal.

$7 p \cdot \frac{1}{2} \cdot x^{2} \frac{4}{p} - 7 x$

Step 2

Cancel the common factor of $p$ .

Tap for more steps...

Step 2.1

Factor $p$ out of $7 p \cdot \frac{1}{2} \cdot x^{2}$ .

$p (7 \cdot \frac{1}{2} \cdot x^{2}) \frac{4}{p} - 7 x$

Step 2.2

Cancel the common factor.

$p (7 \cdot \frac{1}{2} \cdot x^{2}) \frac{4}{p} - 7 x$

Step 2.3

Rewrite the expression.

$7 \cdot \frac{1}{2} \cdot x^{2} \cdot 4 - 7 x$

Step 3

Combine $7$ and $\frac{1}{2}$ .

$\frac{7}{2} \cdot x^{2} \cdot 4 - 7 x$

Step 4

Combine $\frac{7}{2}$ and $x^{2}$ .

$\frac{7 x^{2}}{2} \cdot 4 - 7 x$

Step 5

Combine $\frac{7 x^{2}}{2}$ and $4$ .

$\frac{7 x^{2} \cdot 4}{2} - 7 x$

Step 6

Multiply $4$ by $7$ .

$\frac{28 x^{2}}{2} - 7 x$

Step 7

Cancel the common factor of $28$ and $2$ .

Tap for more steps...

Step 7.1

Factor $2$ out of $28 x^{2}$ .

$\frac{2 (14 x^{2})}{2} - 7 x$

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Factor $2$ out of $2$ .

$\frac{2 (14 x^{2})}{2 (1)} - 7 x$

Step 7.2.2

Cancel the common factor.

$\frac{2 (14 x^{2})}{2 \cdot 1} - 7 x$

Step 7.2.3

Rewrite the expression.

$\frac{14 x^{2}}{1} - 7 x$

Step 7.2.4

Divide $14 x^{2}$ by $1$ .

$14 x^{2} - 7 x$