Basic Math Examples

$\frac{2 (- \frac{5}{2}) + 5}{4 {(\frac{5}{2})}^{2} - 25}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the product rule to $\frac{5}{2}$ .

$\frac{2 (- \frac{5}{2}) + 5}{4 \frac{5^{2}}{2^{2}} - 25}$

Step 1.2

Raise $5$ to the power of $2$ .

$\frac{2 (- \frac{5}{2}) + 5}{4 \frac{25}{2^{2}} - 25}$

Step 1.3

Raise $2$ to the power of $2$ .

$\frac{2 (- \frac{5}{2}) + 5}{4 (\frac{25}{4}) - 25}$

Step 1.4

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.4.1

Cancel the common factor.

$\frac{2 (- \frac{5}{2}) + 5}{4 (\frac{25}{4}) - 25}$

Step 1.4.2

Rewrite the expression.

$\frac{2 (- \frac{5}{2}) + 5}{25 - 25}$

Step 2

Subtract $25$ from $25$ .

$\frac{2 (- \frac{5}{2}) + 5}{0}$

Step 3

The expression contains a division by $0$ . The expression is undefined.

Undefined