Simplify the complex fraction.

Question

Quizplus · Accepted Answer

We can simplify the complex fraction by first finding a common denominator for the two fractions in the numerator:
$\frac{3}{e} - \frac{1}{b} = \frac{3b}{eb} - \frac{1e}{eb} = \frac{3b-e}{eb}$

Then, we can substitute this expression into the original complex fraction:

$$\frac{\frac{1}{a} - \frac{3b-e}{eb}}{\frac{1}{b} - \frac{1}{e}} = \frac{\frac{eb}{a} - (3b-e)}{\frac{b-e}{be}} = \frac{eb^2-3abe+ae^2}{a(b-e)}$$

So the answer is 11ebfe7e_3463_2823_96cc_c3d413ad4d4e_TBX8806_11 (Choice B).

Simplify the Complex Fraction