A numerator represents the number of parts out of the whole, which is the denominator. So anything that is above the fraction bar or on the top, in a fraction is the numerator. Here's the simple definition you'd have probably looking for: The numerator is the top part of a fraction, and the denominator is the bottom part of a fraction. Remember that a fraction represents a part of a whole. The numerator represents how many parts of that whole are being considered, while the denominator represents the total number of parts or the whole.
In this lesson, we will explore the world of the numerator, and discover interesting facts about it.
|1.||What is a Numerator?|
|2.||Numerator and Denominator in Division|
|3.||Remembering a Numerator|
|4.||FAQs on Numerator|
What is a Numerator?
'Numerator' is a Latin word that means 'number'. It represents the number of parts to be considered out of a whole in a fraction, unlike the denominator-which represents the whole. 13th-century mathematicians used these words to describe the fraction. A fraction is written in the form x/y the number on top of the fraction bar (called the vinculum) is the numerator. The number written below the bar is called the denominator.
A fraction is written in the form x/y, where x is the Numerator, and y is the denominator. A fraction is written as Numerator/Denominator. The number on top represents the number of parts while the number below the vinculum, the denominator denotes how many equal parts the item is divided into. Let us look at some of the simple examples of fractions. The fraction 3/7. In this fraction 3 is the numerator. Another fraction is 2/3, and In this fraction 2 is the numerator.
A pizza is divided into 4 parts. How do we represent 1 slice of the pizza with respect to the whole pizza? It is denoted by the fraction 1/4, Where, 1----> Numerator(the number of parts), and 4----> Denominator(total number of parts)
Numerator and Denominator in Division
A fraction written in the form x/y is basically x ÷ y. We divide x by y. Numerator, the top number in a fraction shows how many parts there are in all, and the bottom number the denominator shows how many equal parts the item ha An example of a fraction of 1/2 is the same as 1 ÷ 2. It means how many 2's are there in 1's. Some of the different types of fractions are as follows.
- Numerator > Denominator, it is called an Improper Fraction.
- When Denominator > Numerator, it is a Proper Fraction.
- When the Numerator is 1, it is called a Unit Fraction.
Remembering a Numerator
The easiest way to remember numerator and denominator is by understanding the placement of numbers in the fractions. It’s as simple as that! You only need to remember that the numeric value which is on the top of the fraction bar is the numerator and the numeric value at the bottom is the denominator. That’s it! Also, calculating the numerator is just like identifying them. If you know where to look you will get them. Say for example you are supposed to find the numerator and denominator of the fraction 1/2. The number above the fractional bar is the numerator. In this case, it is 1. The number below the fractional bar is the denominator, in this case, it is 2.
Now let us look at the following important facts about the numerator.
- When the numerator of a fraction is 0, the complete fraction becomes o. This is the rule, it doesn’t matter what the denominator is, if the numerator is zero, then the complete fraction is zero.
- For example: If we have 0/2 then we will get 0 as an answer.
- Numerator vs denominator: The top number in a fraction i.e. numerator(shows the number of parts we have)
- The bottom number in a fraction i.e. Denominator(shows the total number of parts into which anything is divided)
- If both the numerator and denominator are the same then we get 1 whole. example 4/4 = 1
☛Articles on Numerator
Given below is the list of topics that are closely connected to the numerator. These topics will also give you a glimpse of how such concepts are covered in Cuemath.
Examples on Numerator
Example 1: There are 28 students in a class and 12 of them are girls. Find the numerator of the fraction representing the boys in the class.
The numerator represents a part and the denominator represents the whole. Therefore, the total number of students represents the Denominator and is equal to 28. The number of girls in the class is given as 12. Hence the number of boys in the class is (28 - 12 = 16). The fraction of boys in the class is equal to the number of boys/Total number of students, which is equal to 16/28 = 4/7.
Therefore, the numerator of the fraction representing the boys in the class is 4.
Example 2: A Rubik's cube has 54 squares. 9 of them are red Represent and simplify the fraction of red squares in the cube, and find the numerator of the fraction.
We know that the total number of squares is 54. This is our denominator. Given that 9 squares are red, which is our numerator. Therefore, if we represent it in the form of fractions. It will be equal to the number of red squares divided by the total number of squares. The fraction of red-colored squares is equal to 9/54 = 1/6.
Therefore, the numerator of the fraction of red squares is 1.
Example 3: Find the sum of the numerator of the first fraction and the denominator of the second fraction. 1/4, and 4/5.
The numerator of the first fraction 1/4 is 1 and the denominator of the second fraction 4/5 is 5. The sum is equal to 1 + 5 = 6.
Therefore, the sum is 6.
FAQs on Numerator
How do you Define a Numerator?
A numerator is a number above the line in a fraction. In an example of a fraction 2/3. the number 2 above the line is the numerator. Based on the numerator the fractions are classified as unit fraction, proper fraction, improper fraction, null fraction.
How to Work Out the Numerator?
Working out the numerator is the same as working out the fraction. In the fraction 24/36, the numerator and the denominator can be divided by a common number, to simplify and work out the numerator. Both the numerator and the denominator can be divided by the number 12. (24 ÷ 12)/(36 ÷ 12) = 2/3. Here the fraction has been worked out and simplified, and 2 is the numerator.
Can the Numerator be Equal to 0?
The numerator of a fraction can be equal to 0, but a fraction of the form 0/7 is equal to 0.
How to Get a Numerator from a Whole Number?
It is very easy to get a numerator from a whole number. A whole number 5 can be written in the form of a fraction like 5/1. Here, 5 is the numerator, and1 is the denominator.
How to Simplify Fractions with Numerator?
To simplify a fraction, we will divide the numerator and denominator by a whole number greater than 1. We will keep on dividing the fraction until it is not possible to divide it any further. For example, let’s say the fraction is 56/108. If we divide, each of them by 2, we get (56 ÷2)/(108 ÷ 2) = 28/54. Again, divide it by 2, we get (28 ÷ 2 )/(54 ÷ 2) = 14/27. As we can see, now 14/27 cannot be divided together with any same whole number as there is no common factor between them. So, by simplifying 56/108 we get the answer 14/27.
What is the Numerator Rule?
The value of a fraction is 0 if the numerator is 0. For example, for a fraction 0/4, the value of the fraction is 0. This is known as the numerator rule.
How do you Explain Numerator and Denominator?
A fraction of the form x/y in which the number x above the line is called the numerator and the number y below that line is called the denominator. The numerator represents the part and the denominator represents the whole.
How do you Find the Numerator and Denominator of a Fraction?
It is very easy to find the numerator and the denominator of a fraction. A fraction is made up of two numbers. The number above the line is called the numerator and the number below the line is the denominator. In 4/5, the number 4 is the numerator and the number 5 is the denominator.