How to Plot and Compare Fractions on a Number Line Step by Step
The Fraction Number Line teaches students to see the fractions as parts of something. They help us compare the fractions. They also assist the students in looking for equivalent fractions. If the students know what portion of something they need, they will be able to use it in a more efficient manner such as ingredients for cooking. When it comes to making budgets for the household or for any other sphere, fractions come in handy as that helps people in understanding how much they need to allocate where. Telling the time will also become difficult without knowing about Fractions.
How to Prepare Notes on Fraction Number Line
Go through Number Line on Vedantu
Read up all the information available as well as the examples used
Write down whatever you see and absorb in your own language
Highlight all those points that you consider important
Compare the notes with the content that’s on the page
Revise from these before an exam
Write down as many solved problems as you want to for a clearer understanding
Use examples that relate to you
Some More Examples of Fraction
The fraction 3/5 is read as ‘three-fifth,’ which means 3 parts out of 5 equal parts in which the whole is divided. In the fraction 3/5, 3 is the numerator, and 5 is the denominator.
Similarly, fraction 5/12 is read as ‘fifth-twelfth,’ which means 5 parts out of 12 equal parts in which the whole is divided. In the fraction 5/12, 5 is the numerator, and 12 is the denominator.
Now let us learn how fractions are represented on a number line.
How to Represent Fraction on a Number Line?
Representing fractions on a number line means that we can show fractions on a number line. To represent half (1/2) on the number line, draw a number line and mark a point A to represent 1. Mark another point O to represent 0.
Now divide the gap between O and A equally into two parts. Let Point T represent the point of division. Then point T is ½ of O and A.
Now to represent 1/3 on a number line, divide the gap between O and A into 3 equal parts. Let Q be the new point of division along with T. Now, T represents 1/3 and Q represents 2/3, as 2/3 means 2 sections of 3 equal parts as shown in the diagram.
By using the same method point, A represents 3/3, and point O represents 0/3.
Therefore, we have 3/3 = 1 and 0/3 = 0.
This is how to represent fractions on the number line.
To represent 3/5 on a number line we now divide the gap between 0 and 1 into 5 equal parts and take the first 3 parts from 0 as shown in the figure below.
Now, we get a fraction of 3/5 on a number line.
Here, we saw the representation of a proper fraction on a number line. To represent an improper fraction, we must first convert them into mixed fractions. The procedure shown above is used with the whole number as the starting point.
Fun Facts on Fractions
A blank number line was originally proposed as a visual model or diagram for solving subtraction and addition operations.
An empty or blank number line is a visual diagram of a number line with no numbers or markers and is mostly used for solving word problems.
Log on to Vedantu to understand what fractions and how they fit on the number line are in a better way. Get the best insights from the top experts online and develop a strong conceptual foundation for this topic. You will find your conceptual development quite helpful to study other chapters of mathematics in the same class and later.
FAQs on Fractions on the Number Line Explained with Visual Models
1. What are fractions on a number line?
Fractions on a number line are parts of a whole represented as points between whole numbers according to their value. A number line is divided into equal parts, and each fraction is placed based on its numerator and denominator. For example, 1/2 lies exactly halfway between 0 and 1 because the interval is divided into 2 equal parts and we count 1 part from 0.
2. How do you plot a fraction on a number line?
To plot a fraction on a number line, divide the interval into equal parts based on the denominator and count according to the numerator. Follow these steps:
- Identify the denominator (number of equal parts).
- Divide the space between whole numbers into that many equal sections.
- Count forward the numerator number of parts.
- Mark the point.
3. How do you represent improper fractions on a number line?
An improper fraction is placed on a number line by locating the whole number part and then marking the remaining fractional part. For example, 7/4 equals 1 3/4. First move to 1 on the number line, then divide the next interval into 4 equal parts and count 3 parts forward to mark 7/4.
4. How do you compare fractions on a number line?
Fractions are compared on a number line by observing which point lies further to the right. The fraction located more to the right is greater. For example, between 2/5 and 3/5, 3/5 is greater because it appears further from 0.
5. Why are fractions between 0 and 1 on a number line?
Fractions with numerators smaller than denominators are between 0 and 1 because they represent parts of one whole. These are called proper fractions. For example, 3/8 lies between 0 and 1 since 3 is less than 8.
6. How do you divide a number line into equal parts for fractions?
To divide a number line into equal parts, split the interval according to the denominator of the fraction. For example:
- If the denominator is 5, divide the segment into 5 equal sections.
- Each section represents 1/5.
7. What is the difference between proper and improper fractions on a number line?
A proper fraction lies between 0 and 1, while an improper fraction is equal to or greater than 1 on a number line. A proper fraction has numerator less than denominator (e.g., 3/5). An improper fraction has numerator greater than or equal to denominator (e.g., 6/5), so it appears at or beyond 1.
8. Can you give an example of placing 5/3 on a number line?
The fraction 5/3 is placed at 1 2/3 on the number line. Since 5/3 = 1 2/3:
- Locate 1 on the number line.
- Divide the interval from 1 to 2 into 3 equal parts.
- Move 2 parts forward from 1.
9. How do you show equivalent fractions on a number line?
Equivalent fractions appear at the same point on a number line because they represent the same value. For example, 1/2 and 2/4 are equivalent. Even if the intervals are divided differently, both fractions mark the exact same location halfway between 0 and 1.
10. What are common mistakes when plotting fractions on a number line?
Common mistakes when plotting fractions on a number line include dividing intervals incorrectly and confusing numerator with denominator. Key errors to avoid:
- Not dividing the interval into equal parts.
- Using the numerator as the number of divisions.
- Placing improper fractions between 0 and 1 incorrectly.
