Question

Which of the following is not an improper fraction?
a) \[\dfrac{4}{3}\]
b) \[\dfrac{3}{2}\]
c) \[\dfrac{5}{3}\]
d) \[\dfrac{7}{{11}}\]

Answer 1

Hint: An improper fraction is a type of fraction in which the numerator is greater than or equal to its denominator. Numerically, an improper fraction is always greater than or equal to one. In the given question we have to find the fraction that is not an improper fraction from the given fractions. To find that we will check in which of the given fractions the numerator is less than its denominator.

Complete answer:
The first option is \[\dfrac{4}{3}\]. Here, we can see clearly that the numerator is greater than its denominator. So, the given fraction is an improper fraction.

The second option is \[\dfrac{3}{2}\]. Here also, the numerator is greater than its denominator. So, it is also an improper fraction.

The third option is \[\dfrac{5}{3}\]. Here also, the numerator is greater than its denominator. So, it is also an improper fraction.

The last option is \[\dfrac{7}{{11}}\]. Here we can see that the numerator is less than its denominator. So, this is not an improper fraction i.e., it is a proper fraction.

Therefore, the correct option is D

Note: We can also choose the proper fraction by calculating the numerical values of each of the given fraction. The fraction whose numerical value will be less than one will be the proper fraction but that process will be time taking so, we have used this method i.e., just by comparing the numerator and denominator we can tell which fraction is an improper fraction and which one is a proper fraction.