What is the fraction 4/3 whole number
The correct answer and explanation is:
Answer:
The fraction 4/3 is not a whole number.
However, 4/3 as a mixed number is 1⅓, which includes a whole number part (1) and a fractional part (1/3).
Explanation (300 words):
To understand why 4/3 is not a whole number, let’s begin by defining what a whole number is. Whole numbers are the set of non-negative integers:
0, 1, 2, 3, 4, …
They do not include fractions, decimals, or negative numbers.
Now, let’s look at the fraction 4/3. This means we are dividing 4 by 3.
When we divide 4 by 3, we get:
4 ÷ 3 = 1 with a remainder of 1
Or in decimal form: 1.333…
This result is not a whole number because it includes a fractional part.
To make it clearer, we can write 4/3 as a mixed number, which is:
4/3 = 1 and 1/3 = 1⅓
Here, 1 is the whole number part, and 1/3 is the fractional part. A mixed number is a combination of a whole number and a proper fraction. Even though it includes a whole number, the entire expression (1⅓) is still not a whole number, because of the extra 1/3.
You might wonder: when is a fraction a whole number?
That happens when the numerator is a multiple of the denominator. For example:
- 6/3 = 2 ✅ (Whole number)
- 9/3 = 3 ✅ (Whole number)
But in the case of 4/3, 4 is not a multiple of 3, so it doesn’t result in a whole number.
In summary:
- 4/3 is not a whole number
- It is an improper fraction
- As a mixed number, it equals 1⅓
- Whole numbers do not include fractions or decimals
Thus, the correct and complete answer is:
4/3 is not a whole number.