To determine which of the given fractions is a proper fraction, we need to understand what defines a proper fraction. A proper fraction is one where the numerator (the top number) is less than the denominator (the bottom number). In other words, the value of a proper fraction is always less than 1.
Let's analyze each option step-by-step:
Option A: [tex]\( \frac{15}{22} \)[/tex]
- Numerator: 15
- Denominator: 22
- Since 15 is less than 22, this is a proper fraction.
Option B: [tex]\( \frac{12}{9} \)[/tex]
- Numerator: 12
- Denominator: 9
- Since 12 is greater than 9, this is not a proper fraction.
Option C: [tex]\( \frac{8}{8} \)[/tex]
- Numerator: 8
- Denominator: 8
- Since 8 is equal to 8, this is not a proper fraction.
Option D: [tex]\( \frac{3}{2} \)[/tex]
- Numerator: 3
- Denominator: 2
- Since 3 is greater than 2, this is not a proper fraction.
Based on our analysis, the only fraction that meets the criteria of a proper fraction (where the numerator is less than the denominator) is Option A: [tex]\( \frac{15}{22} \)[/tex].
Thus, the correct answer is:
Option A: [tex]\( \frac{15}{22} \)[/tex].
