To determine which of the given fractions is an example of a proper fraction, let's first recall the definition of a proper fraction. A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).
Now, let's evaluate each given fraction:
- Option A: [tex]\( \frac{4}{17} \)[/tex]
- Here, the numerator is 4, and the denominator is 17.
- Since 4 is less than 17, [tex]\( \frac{4}{17} \)[/tex] is a proper fraction.
- Option B: [tex]\( \frac{15}{2} \)[/tex]
- Here, the numerator is 15, and the denominator is 2.
- Since 15 is greater than 2, [tex]\( \frac{15}{2} \)[/tex] is not a proper fraction; it is an improper fraction.
- Option C: [tex]\( \frac{11}{10} \)[/tex]
- Here, the numerator is 11, and the denominator is 10.
- Since 11 is greater than 10, [tex]\( \frac{11}{10} \)[/tex] is not a proper fraction; it is an improper fraction.
- Option D: [tex]\( \frac{6}{6} \)[/tex]
- Here, the numerator and the denominator are both 6.
- Since 6 is equal to 6, [tex]\( \frac{6}{6} \)[/tex] is not a proper fraction; it is neither proper nor improper but rather a whole number.
Based on the evaluations above, the proper fraction among the given options is:
Answer: A. [tex]\( \frac{4}{17} \)[/tex]
