To determine which of the following examples represents a proper fraction, we need to understand what a proper fraction is. A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).
Let's examine each choice:
1. [tex]\( \frac{15}{22} \)[/tex]
- Numerator: 15
- Denominator: 22
- Since 15 < 22, this is a proper fraction.
2. [tex]\( \frac{12}{9} \)[/tex]
- Numerator: 12
- Denominator: 9
- Since 12 > 9, this is not a proper fraction.
3. [tex]\( \frac{8}{8} \)[/tex]
- Numerator: 8
- Denominator: 8
- Since 8 = 8, this is not a proper fraction. This is called an improper fraction because the numerator is equal to the denominator.
4. [tex]\( \frac{3}{2} \)[/tex]
- Numerator: 3
- Denominator: 2
- Since 3 > 2, this is not a proper fraction.
Given the analysis, the fraction that represents a proper fraction among the choices is:
A. [tex]\( \frac{15}{22} \)[/tex]
Thus, the correct answer is:
1. [tex]\( \frac{15}{22} \)[/tex]
