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Fractions on a Number Line

  • Utilizing a number line to illustrate fractions is a valuable method to showcase how a whole is divided equally into parts.
  • Denominator represents the total number of parts, while the numerator indicates the specific parts being considered.
    Fractions on a number line | Year 4 Mathematics
  • A number line aids in understanding the sequence and comparison of fractions.
  • Similar to a regular number line, the numerators indicate the increasing or decreasing values, while the denominators remain constant.

Fractions on a number line | Year 4 Mathematics

Examples

Example 1: Take a look at this number line. The denominators are missing as well as some of the fractions.
Fractions on a number line | Year 4 Mathematics

To work out the denominators, we have to count how many parts the number line has been separated into.
There are 10 parts so the denominator must be 10.
Fractions on a number line | Year 4 MathematicsNow let’s look at which consecutive numbers are missing and fill in the gaps.Fractions on a number line | Year 4 MathematicsFractions on a number line | Year 4 Mathematics are the missing fractions.

Example 2: Look at this number line. It starts at 0 and ends at 1, which represents the whole.
Fractions on a number line | Year 4 Mathematics

Do you notice how it is split into 5 parts?
That means our denominator must be 5. The numerators should go up in a consecutive order (one after each other).
This is what the fractions would look like when marked on the number line.
Fractions on a number line | Year 4 MathematicsNow we can easily compare the fractions.
Which fraction is bigger Fractions on a number line | Year 4 Mathematics?
If we look at the number line, we can clearly see that 4/5 is the larger fraction since it is closer to 1.

The document Fractions on a number line | Year 4 Mathematics is a part of the Year 4 Course Year 4 Mathematics.
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FAQs on Fractions on a number line - Year 4 Mathematics

1. How can fractions be represented on a number line?
Ans. Fractions can be represented on a number line by dividing the line into equal parts according to the denominator of the fraction, and then locating the numerator on the appropriate part of the line.
2. How do you plot a fraction like 1/2 on a number line?
Ans. To plot a fraction like 1/2 on a number line, first divide the line into two equal parts. Then, locate the point that represents 1 on the number line, which will be halfway between 0 and 1.
3. Can fractions greater than 1 be represented on a number line?
Ans. Yes, fractions greater than 1 can also be represented on a number line. For example, the fraction 3/2 would be located 1.5 units to the right of 0 on the number line.
4. How can fractions with different denominators be compared on a number line?
Ans. To compare fractions with different denominators on a number line, first convert them to equivalent fractions with the same denominator. Then, plot the fractions on the number line and compare their positions.
5. How can fractions on a number line help in understanding the concept of equivalent fractions?
Ans. Fractions on a number line can help in understanding equivalent fractions by visually representing how fractions with different numerators and denominators can represent the same quantity. By comparing the positions of different fractions on the number line, students can see that they are equivalent.
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