Question

What is \[5\] over \[5\] in simplest form?

Answer 1

Hint: These types of questions are pretty simple to solve and are quite easy once we understand the key or underlying concepts behind the problem. To evaluate this, we need to have some basic as well as advanced knowledge of fractions and number systems. One of the primary and important tasks behind solving these types of problems is to convert the problem statement from theoretical to mathematical form. The sentence \[5\] over \[5\] can be written in mathematical form as, \[\dfrac{5}{5}\] . Now after representing this in the required form, we need to evaluate the value so as to get the desired result for this problem.

Complete step-by-step solution:
Now we start off with the solution to the given problem by writing that any fraction is represented by a numerator and a denominator. So we can clearly observe that, when the numerator and the denominator of a fraction are equal, then the value of the fraction becomes equal to \[1\] . However there are a few exceptions to this. This is not applicable to fractions which are of the form \[\dfrac{0}{0}\] or \[\dfrac{\infty }{\infty }\] . In such exception cases we need to use the concepts of limits to solve the problem.

Note: To solve these types of problems we need to have a clear cut idea of chapters like fractions, number systems and sometimes the theory of limits. We need to be very careful in these problems specially in the cases of \[\dfrac{0}{0}\] or \[\dfrac{\infty }{\infty }\] . In these situations, we need to apply the theory of limits to evaluate the value. In cases where the numerator and the denominator of the fraction is equal, the fraction evaluates to \[1\] .