Question

Numerator in the fraction \[\dfrac{4}{7}\] is?
(A) \[4\]
(B) \[7\]
(C) \[\dfrac{4}{7}\]
(D) \[\dfrac{1}{7}\]

Answer 1

Hint: Here, we use the concept of fractions and rational numbers to solve this question. We are going to know in detail about the fractions and rational numbers while solving this sum. Also, we will know about the proper fractions and improper fractions.

Complete step by step answer:
Generally, a fraction can be defined as a part of a whole.
First of all, a rational number is a number which can be written in \[\dfrac{p}{q}\] form, where \[p\] and \[q\] are co primes and \[q \ne 0\] . Co-primes are the numbers which have \[1\] as the highest common factor. And the form \[\dfrac{p}{q}\] is called a “fraction”. And in a fraction, the upper part is known as “Numerator” and the lower part is known as “Denominator”. So in the fraction \[\dfrac{p}{q}\] , \[p\] is the numerator and \[q\] is the denominator.
In a fraction, if the numerator is less than the denominator, then the fraction is called a proper fraction. And similarly, if the numerator is greater than the denominator, the fraction is called an improper fraction.
In a fraction, both the numerator and the denominator can be either rational or irrational. For example, \[\dfrac{{\sqrt 2 }}{3}\] is also known as a fraction where the numerator is irrational and the denominator is rational.
So, from all these details, we can conclude that, in the fraction \[\dfrac{4}{7}\] , the numerator is \[4\].

So, the correct answer is “Option A”.

Note:
A fraction of the form \[\dfrac{a}{0}\] is not defined. So, make sure that, in a fraction, the denominator should not be equal to zero i.e. the denominator should be a non-zero number. And also, a fraction is another form of writing a decimal number. For example, \[0.1\] can be written as \[\dfrac{1}{{10}}\] . Also make a note that, all rational numbers can be written in the form of a fraction, but all fractions may or may not be rational numbers.