Question

Which one of the following is an improper fraction?
A) $\dfrac{{11}}{4}$
B) $\dfrac{3}{8}$
C) $\dfrac{3}{4}$
D) $\dfrac{9}{{11}}$

Answer 1

Hint:
The given question is to be approached by the basic concepts of fractions.
The condition for a fraction to be an improper fraction is that the numerator value must be greater than the denominator value.
So, among the four options, find out which one has the above given condition satisfied.
Thus, choose the correct answer.

Complete step by step solution:
We know that any fractional value can be represented in the form of \[\dfrac{p}{q}\], where p is the numerator and q is the denominator and also $q \ne 0$.
Now, for a fractional value to be an improper fraction, the value of the numerator must be greater than the value of the denominator.
So, to find out the improper fraction out of the given options, we need to find out which one of the four has a numerator value greater than the denominator value.
Here, in option (A) the given fraction is $\dfrac{{11}}{4}$, where 11 is numerator and 4 is denominator. Since, 11 is greater than 4, the numerator becomes greater than the denominator. So, $\dfrac{{11}}{4}$ is an improper fraction.
In option (B) the given fraction is $\dfrac{3}{8}$, where 3 is numerator and 4 is denominator. Since, the denominator is greater than the numerator, therefore $\dfrac{3}{8}$ is not an improper fraction.
In option (C) the given fraction is $\dfrac{3}{4}$, where 3 is numerator and 4 is denominator. Since, the denominator is greater than the numerator, therefore $\dfrac{3}{4}$ is not an improper fraction.
In option (D) the given fraction Is $\dfrac{9}{{11}}$, where 9 is numerator and 11 is denominator. Since, the denominator is greater than the numerator, therefore $\dfrac{9}{{11}}$ is not an improper fraction.

Thus, option (A) is the correct answer.

Note:
Fractional numbers:
The numbers which represent a part of a whole body which is divided into equal parts are called fractional numbers.
For example, if a pizza is equally divided into 8 parts, then 3 pieces out of the 8 pieces can be represented using the general formula $\dfrac{{Number\,of\,parts\,required}}{{Total\,number\,of\,parts}}$.
So, the fractional representation of 3 pieces from 8 pieces is $\dfrac{3}{8}$.