Which one of the following examples represents a proper fraction?
A. 15/22
B. 8/8
C. 12/9
D. 3/2
The Correct Answer and Explanation is :
The correct answer is A. 15/22.
Explanation:
A proper fraction is defined as a fraction in which the numerator (the number on the top) is less than the denominator (the number on the bottom). This means that the fraction represents a value less than 1.
Now, let’s evaluate each option:
- A. 15/22:
- In this fraction, the numerator is 15 and the denominator is 22. Since 15 is less than 22, this fraction is a proper fraction because the value is less than 1.
- B. 8/8:
- Here, the numerator and denominator are both 8. Since 8 divided by 8 equals 1, this is an improper fraction, not a proper fraction, because its value equals 1 (not less than 1).
- C. 12/9:
- In this case, the numerator is 12 and the denominator is 9. Since 12 is greater than 9, this fraction represents a value greater than 1. Therefore, it is an improper fraction.
- D. 3/2:
- Similarly, the numerator is 3 and the denominator is 2. Since 3 is greater than 2, this is another improper fraction, representing a value greater than 1.
Key Concepts:
- Proper Fraction: The numerator is smaller than the denominator (value less than 1).
- Improper Fraction: The numerator is greater than or equal to the denominator (value greater than or equal to 1).
To summarize, only 15/22 qualifies as a proper fraction, while the other options (8/8, 12/9, and 3/2) are improper fractions. Proper fractions are used in various mathematical applications where values smaller than 1 are needed, such as in proportions, measurements, and calculations involving parts of a whole.