Fraction on the Number Line
Representation of proper fraction on the number line
Let us draw a number line and mark ½ on it.
As it is clear that ½ is greater than 0 and less than 1, so it should lie between 0 and 1.
Since, the denominator of the given fraction is 2; divide the space between every pair of two consecutive integers into two equal parts.
To mark 1/2; we will start from 0 and move one part on the right-side of zero.
Example 1:
Show 3/5 on a number line.
Solution:
The given number 3/5 is greater than 0 and less than 1.
Since, the denominator of the given fraction is 5, divide the gap between 0 and 1 into 5 equal parts. To mark 3/5; we will start from 0 and move three times on the right-side of zero.
Example 2:
Show 1/4 on a number line.
Solution:
The given number 1/4 is greater than 0 and less than 1.
Since, the denominator of the given fraction is 4, divide the gap between 0 and 1 into 4 equal parts. Then, move once on the right-side of zero.
Representation of improper fraction on the number line
In order to represent improper fractions, we first convert them into mixed fractions.
Let us draw a number line and mark 8/5 on it.
We first convert 8/5 into the mixed fraction.
As it is clear thatis greater than 1 and less than 2, so it should lie between 1 and 2.
Since, the denominator of the given fraction is 5; divide the space between every pair of two consecutive integers into five equal parts.
To mark; we will start from 1 and move 3 times on the right-side of zero.
Example 3:
Show 4/3 on a number line.
Solution:
First convert 4/3 into the mixed fraction.
Hence, the given number 4/3 is greater than 1 and less than 2, so it should lie between 1 and 2.
Since, the denominator of the given fraction is 3; divide the space between every pair of two consecutive integers into three equal parts.
To mark ; we will start from 1 and move once on the right-side of zero.
Facts:
i. Zero divided by any number gives zero and can be shown by the point 0 on the number line. Example: 0/3 or 0/10 or 0/25 is zero.
ii. Number divided by number itself gives 1 and can be shown by the point 1 on the number line. Example: 3/3 or 5/5 or 17/17 is 1.
iii. Proper fractions lie to the left of 1 on the number line as they are less than 1.
iv. Improper fractions lie to the right of 1 on the number line as they are greater than 1.