Answer: Choice A
natural numbers, whole numbers, integers, rational numbers.
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Step-by-step explanation
The fraction
can be written as 45/15.
This fraction fully reduces to 3. This result is part of the following sets:
natural numbers, whole numbers, integers, rational numbers.
The natural numbers is the set {1,2,3,4,...} also known as "counting numbers".
The set of whole numbers will include 0, so that set is {0,1,2,3,4,...}
The set of integers will include negative values to have this set {..., -3, -2, -1, 0, 1, 2, 3, 4, ...}
Rational numbers are when we can write two integers as a fraction such as 2/3 and 5/7. Any whole number is rational because we can stick a 1 under it. For example, 3 = 3/1 is rational.
Irrational numbers are the complete opposite of rational numbers. Numbers like pi = 3.1415926535898... cannot be written in the form a/b which makes pi to be irrational.
If the decimal pattern repeats, then it is rational. If the pattern doesn't repeat, then it's irrational. There are no repeated patterns in the number pi. The decimal digits go on forever at random.