To convert a fraction to a whole number, you divide the numerator by the denominator, but this only results in a whole number if the numerator is a multiple of the denominator.
Here's a breakdown of the process:
-
Understand the Basics: A fraction represents a part of a whole. It has two main parts:
- Numerator: The top number, indicating how many parts you have.
- Denominator: The bottom number, indicating the total number of equal parts the whole is divided into.
-
The Conversion Process:
- Divide: Divide the numerator of the fraction by its denominator.
- Check the Result: If the result of the division is a whole number (no decimals or fractions remaining), then you've successfully converted the fraction.
-
When Does it Work? According to the provided reference, only if the numerator is a multiple of the denominator will the result be a whole number. A multiple is a number you get when you multiply a number by an integer (whole number).
-
Examples:
-
Example 1: Converting 6/3 to a whole number.
- Divide the numerator (6) by the denominator (3): 6 ÷ 3 = 2
- The result, 2, is a whole number. Therefore, 6/3 is equivalent to the whole number 2.
-
Example 2: Converting 10/2 to a whole number.
- Divide the numerator (10) by the denominator (2): 10 ÷ 2 = 5
- The result, 5, is a whole number. Therefore, 10/2 is equivalent to the whole number 5.
-
Example 3: Converting 7/2 (does not result in a whole number).
- Divide the numerator (7) by the denominator (2): 7 ÷ 2 = 3.5
- The result, 3.5, is not a whole number. Therefore, 7/2 cannot be directly converted to a whole number; it results in a decimal or a mixed number (3 1/2).
-
-
In Summary:
| Fraction | Numerator ÷ Denominator | Result | Whole Number? |
|---|---|---|---|
| 6/3 | 6 ÷ 3 | 2 | Yes |
| 10/2 | 10 ÷ 2 | 5 | Yes |
| 7/2 | 7 ÷ 2 | 3.5 | No |
