To determine which of the given fractions is a proper fraction, we need to understand the definition of a proper fraction. A proper fraction is a fraction where the numerator (top number) is less than the denominator (bottom number).
Let's examine each option:
A. [tex]\( \frac{7}{6} \)[/tex]:
- Here, the numerator (7) is greater than the denominator (6).
- Since the numerator is greater than the denominator, this is an improper fraction, not a proper fraction.
B. [tex]\( \frac{3}{4} \)[/tex]:
- Here, the numerator (3) is less than the denominator (4).
- Since the numerator is less than the denominator, this is a proper fraction.
C. [tex]\( \frac{4}{3} \)[/tex]:
- Here, the numerator (4) is greater than the denominator (3).
- Since the numerator is greater than the denominator, this is an improper fraction.
D. [tex]\( \frac{4}{4} \)[/tex]:
- Here, the numerator (4) is equal to the denominator (4).
- Since the numerator is equal to the denominator, this fraction is neither proper nor improper; this is a whole number (1).
Among the given options, the fraction where the numerator is less than the denominator is:
B. [tex]\( \frac{3}{4} \)[/tex]
Therefore, the best answer for the question is:
B. [tex]\( \frac{3}{4} \)[/tex]
