An improper fraction is characterized by having a numerator that is greater than or equal to its denominator. Let's analyze each of the given options to determine which one fits this definition:
A. [tex]\( \frac{4}{5} \)[/tex]
- In this fraction, 4 is the numerator, and 5 is the denominator.
- Since the numerator (4) is less than the denominator (5), [tex]\( \frac{4}{5} \)[/tex] is a proper fraction.
B. [tex]\( \frac{10}{3} \)[/tex]
- Here, 10 is the numerator, and 3 is the denominator.
- The numerator (10) is greater than the denominator (3), which makes [tex]\( \frac{10}{3} \)[/tex] an improper fraction.
C. [tex]\( \frac{6}{7} \)[/tex]
- In this fraction, 6 is the numerator, and 7 is the denominator.
- Since the numerator (6) is less than the denominator (7), [tex]\( \frac{6}{7} \)[/tex] is a proper fraction.
D. [tex]\( \frac{3}{10} \)[/tex]
- Here, 3 is the numerator, and 10 is the denominator.
- The numerator (3) is less than the denominator (10), which makes [tex]\( \frac{3}{10} \)[/tex] a proper fraction.
Among the options provided, only [tex]\( \frac{10}{3} \)[/tex] meets the criteria of an improper fraction since its numerator is greater than its denominator. Therefore, the correct answer is:
B. [tex]\( \frac{10}{3} \)[/tex]
