← Chapter 7
College Algebra · Chapter 7

Two Roads, One Answer

A complex fraction is a fraction with fractions living inside it, and there are exactly two standard ways to clean one up. Most students are taught one of them and quietly wonder whether the other is cheating. It is not. Here both methods run on the same expression, one line at a time, so you can watch two very different-looking routes arrive at the identical answer — and see for yourself which one gets there with less work.

The shape of the expression

Answer—
Excluded values—

Check it with a number

original—
simplified—
Simplify a complex fractionpick an example, then pick a road