Question

Which of the following is an example for a proper fraction ?
$
  A)\dfrac{{28}}{{13}} \\
  B)\dfrac{{11}}{{23}} \\
  C)\dfrac{{16}}{9} \\
  D)\dfrac{{14}}{3} \\
 $

Answer 1

Hint- In order to solve this question, we must know the concept of proper fraction. Also we will use the $\dfrac{p}{q}$ form to identify the right option as the proper fraction is in the form of $\dfrac{p}{q}$ and ${p}<{q}$ .

Complete step-by-step answer:
Proper fraction is the fraction where the numerator (the top number) is less than the denominator (the bottom number).
Let us take every option into consideration and we will get the right answer i.e.
$\dfrac{{28}}{{13}}$
Here, numerator is greater than the denominator
So option A is wrong.
Now check for another option.
$\dfrac{{16}}{9}$
Here also numerator is greater than the denominator
So option C is wrong.
Now check for another option.
$\dfrac{{14}}{3}$
Here also numerator is greater than the denominator
Option D is also wrong.
$\dfrac{{11}}{{23}}$
Here we can see that the numerator is smaller than the denominator.
$\therefore $Option B is right
Note- We will use the concept of proper fraction using the assumption method. Also along with that, one can get confused with the proper fraction, improper fraction and mixed fraction so that desired result will be achieved.