Calculus Examples

$- \frac{19}{e} + 11$

Step 1

To write $11$ as a fraction with a common denominator, multiply by $\frac{e}{e}$ .

$- \frac{19}{e} + \frac{11 e}{e}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 19 + 11 e}{e}$

Step 3

Rewrite $- 19$ as $- 1 (19)$ .

$\frac{- 1 (19) + 11 e}{e}$

Step 4

Factor $- 1$ out of $11 e$ .

$\frac{- 1 (19) - (- 11 e)}{e}$

Step 5

Factor $- 1$ out of $- 1 (19) - (- 11 e)$ .

$\frac{- 1 (19 - 11 e)}{e}$

Step 6

Move the negative in front of the fraction.

$- \frac{19 - 11 e}{e}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{19 - 11 e}{e}$

Decimal Form:

$4.01029061 \dots$