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 is less than the denominator. In other words, for a fraction [tex]\(\frac{a}{b}\)[/tex], it is proper if [tex]\(a < b\)[/tex].
Let's examine each option:
A. [tex]\(\frac{4}{3}\)[/tex]: Here, the numerator (4) is greater than the denominator (3). Therefore, [tex]\(\frac{4}{3}\)[/tex] is not a proper fraction.
B. [tex]\(\frac{3}{4}\)[/tex]: Here, the numerator (3) is less than the denominator (4). Therefore, [tex]\(\frac{3}{4}\)[/tex] is a proper fraction.
C. [tex]\(\frac{7}{6}\)[/tex]: Here, the numerator (7) is greater than the denominator (6). Therefore, [tex]\(\frac{7}{6}\)[/tex] is not a proper fraction.
D. [tex]\(\frac{4}{4}\)[/tex]: Here, the numerator (4) is equal to the denominator (4). Therefore, [tex]\(\frac{4}{4}\)[/tex] is not a proper fraction.
Only option B, [tex]\(\frac{3}{4}\)[/tex], is a proper fraction.
Therefore, the best answer is:
B. [tex]\(\frac{3}{4}\)[/tex]
