Question

Example for a proper fraction is ____?
A. $\dfrac{{28}}{{13}}$
B. $\dfrac{{11}}{{13}}$
C. $\dfrac{{16}}{9}$
D. $\dfrac{{14}}{3}$

Answer 1

Hint: In order to determine the answer, we check each of the given options individually if they hold true the conditions of being a proper fraction. A proper fraction is a fraction whose numerator is less than the denominator. Ex- $\dfrac{1}{4}$ is a proper fraction.

Complete step-by-step answer:
Given data, Proper fraction
A fraction whose value when computed is less than 1, i.e. its numerator is less than the denominator is said to be a proper fraction.
Now, we will check all the given options and find out which is a proper fraction and which is not a proper fraction.
So,
1. $\dfrac{{28}}{{13}}$
Here, we can see that the numerator is greater than the denominator.
Hence it is not a correct option.
2. $\dfrac{{11}}{{13}}$
Here, the numerator is less than the denominator and the result after computing is 0.8462, which is less than 1.
So, it is a correct option.
3. $\dfrac{{16}}{9}$
Here, we can see that the numerator is greater than the denominator.
Hence it is not a correct option.
4. $\dfrac{{14}}{3}$
Here, we can see that the numerator is greater than the denominator.
Hence it is not a correct option.
After checking out for all the four options, we can say that the correct answer is option (B).

Note: In order to solve this type of problems the key is that we have to remember the basic definition of a proper fraction and apply it.
Additional information: If the numerator of a fraction is greater than its denominator then it is called an improper fraction. If a fraction is expressed with both the whole number part and a fractional part then it is called a mixed fraction.