Answer:
it is irrational
Step-by-step explanation:
A rational number is one that can be written as n/m, where n and m are both integers.
Let a be a rational number such that a=n/m
Let b be a rational number such that b=p/q.
Notice n,m, p, and q are all integers.
When we divide a by b, a/b=(n/m)/(p/q)
But we know that complex fractions can be simplified by multiplying the numerator by the denominator.
a/b=(n/m)*(q/p)=nq/mp.
One of the properties of integers is closure under multiplication: that is to say, the product of integers is always an integer. So nq and mp are both integers.
By the definition of rational numbers nq/mp is a rational number. Therefore, a/b is a rational number.
