Basic Math Examples

$\frac{{(y - 7)}^{2}}{2} \div \frac{2 y - 14}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{{(y - 7)}^{2}}{2} \cdot \frac{4}{2 y - 14}$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $4$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Combine ${(y - 7)}^{2}$ and $\frac{2}{2 y - 14}$ .

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

Step 4

Cancel the common factor of $2$ and $2 y - 14$ .

Tap for more steps...

Step 4.1

Factor $2$ out of ${(y - 7)}^{2} \cdot 2$ .

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

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $2$ out of $2 y$ .

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

Step 4.2.2

Factor $2$ out of $- 14$ .

$\frac{2 \cdot {(y - 7)}^{2}}{2 y + 2 \cdot - 7}$

Step 4.2.3

Factor $2$ out of $2 y + 2 \cdot - 7$ .

$\frac{2 \cdot {(y - 7)}^{2}}{2 (y - 7)}$

Step 4.2.4

Cancel the common factor.

$\frac{2 \cdot {(y - 7)}^{2}}{2 (y - 7)}$

Step 4.2.5

Rewrite the expression.

$\frac{{(y - 7)}^{2}}{y - 7}$

Step 5

Cancel the common factor of ${(y - 7)}^{2}$ and $y - 7$ .

Tap for more steps...

Step 5.1

Factor $y - 7$ out of ${(y - 7)}^{2}$ .

$\frac{(y - 7) (y - 7)}{y - 7}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Multiply by $1$ .

$\frac{(y - 7) (y - 7)}{(y - 7) \cdot 1}$

Step 5.2.2

Cancel the common factor.

$\frac{(y - 7) (y - 7)}{(y - 7) \cdot 1}$

Step 5.2.3

Rewrite the expression.

$\frac{y - 7}{1}$

Step 5.2.4

Divide $y - 7$ by $1$ .

$y - 7$