(35 pts)evaluate the reasoning provided by both students a and b and correct the errors make sure to provide proper reasoning. only answer if you know your answer is correct .

see the explanation

Step-by-step explanation:

we know that

A Rational Number is a number that can be made by dividing two integers

we have

----> is not a integer

so

The given number cannot be rewritten as the quotient of two integers

therefore

The given number is irrational

Student A is incorrect because is a irrational number and not all fractions are rational

Student B reasoning is incorrect, because there are fractions that have as numerator an irrational number and can be rational numbers

example

----> is a rational number and the numerator is a irrational number