To determine which of the given examples represents a proper fraction, we need to remember the definition of a proper fraction. A proper fraction is one where the numerator (the top number) is less than the denominator (the bottom number).
Let's analyze each of the given options one by one:
Option A: [tex]\( \frac{15}{22} \)[/tex]
- Here, the numerator is 15 and the denominator is 22.
- Since 15 is less than 22, [tex]\( \frac{15}{22} \)[/tex] is a proper fraction.
Option B: [tex]\( \frac{3}{2} \)[/tex]
- Here, the numerator is 3 and the denominator is 2.
- Since 3 is greater than 2, [tex]\( \frac{3}{2} \)[/tex] is not a proper fraction; it is an improper fraction.
Option C: [tex]\( \frac{8}{8} \)[/tex]
- Here, the numerator is 8 and the denominator is 8.
- Since 8 is equal to 8, [tex]\( \frac{8}{8} \)[/tex] is not a proper fraction; it is actually equal to 1, which is a whole number.
Option D: [tex]\( \frac{12}{9} \)[/tex]
- Here, the numerator is 12 and the denominator is 9.
- Since 12 is greater than 9, [tex]\( \frac{12}{9} \)[/tex] is not a proper fraction; it is an improper fraction.
Based on our analysis, the answer that represents a proper fraction is Option A: [tex]\( \frac{15}{22} \)[/tex].
So, the correct answer is:
A. [tex]\( \frac{15}{22} \)[/tex]
