Final answer:
Simplifying a complex fraction involves canceling out the same quantities in the numerator and the denominator since they equal 1. This basic rule of algebra helps in simplifying expressions and solving equations.
Step-by-step explanation:
The question involves simplifying a complex fraction, which is a part of algebra in mathematics. When simplifying, if the same quantity appears in both the numerator and the denominator, they can cancel each other out since any quantity divided by itself equals 1. This is a fundamental rule in algebra, often applied in manipulating equations and simplifying expressions.
For example, if we have a fraction where the numerator is 15 and the denominator is 5 multiplied by 3, which simplifies to 15 over 15 or 1 upon cancellation. Similarly, when dealing with units, if the numerator and the denominator have the same unit, these units cancel out, and the remaining units become the units of the answer.
When simplifying equations, if you encounter a situation where you have the same terms in both the numerator and the denominator, such as x/x, those terms will cancel out, leaving you with 1. This step is crucial when you are trying to simplify expressions or solve equations involving fractions.