Question

Which of the following is an improper fraction?
A. $\dfrac{7}{{10}}$
B. $\dfrac{7}{9}$
C. $\dfrac{9}{7}$
D. None of these

Answer 1

Hint: In a fraction, there are two parts namely numerator and denominator. Based on this a fraction is classified into many types. So, whenever the numerator is greater than a denominator, the fraction is improper. So, we need to check the numerator and denominator of the given fractions and find the correct option.

Complete step-by-step answer:
There are many types of fractions.
A fraction is said to be improper whenever the numerator is greater than its denominator.
Here we have three options, so let’s consider each option and find which is the improper fraction.
The first option is $\dfrac{7}{{10}}$
Here we can see that the numerator is $7$ and the denominator is $10$
And we know that $7$ is less than $10$
So, the numerator is less than the denominator, hence it’s not an improper fraction
So, the first option is not correct.
The second option is $\dfrac{7}{9}$
Here we can see that the numerator is $7$ and the denominator is $9$
And we know that $7$ is less than $9$
So, the numerator is less than the denominator, hence it’s not an improper fraction
So, the second option is not correct.
The third option is $\dfrac{9}{7}$
Here we can see that the numerator is $9$ and the denominator is $7$
And we know that $9$ is greater than $7$
So, the numerator is greater than the denominator, hence it is an improper fraction
So, the third option is correct.
The improper fraction is $\dfrac{9}{7}$ .

So, the correct answer is “Option C”.

Note: Many students have a doubt of which is the numerator, and which is the denominator of the fraction. In a fraction, the top part is the numerator and the down part is the denominator. Same way, when the numerator is lesser than the denominator it is called proper fraction.