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1
Here, the unit distance is divided into 8 equal parts. Each part represents . On the
8
number line, the fraction to the right is always greater than the fraction to the left.

1 2 3 4 5 6 7
Hence, <<<< << .
8 8 8 8 8 8 8
3 5
Example 3. Which one is greater: or ?
4 4
3 5
Solution. Represent and on a number line as shown below:
4 4

0 1 2 3 4 5 6
4 4 4 4 = 1 4 4
5 3
Clearly, > .
4 4

Comparing Fractions using a Fraction Kit

We can also compare fractions using a fraction kit.

4 4
Example 4. Anil ate of a paratha while Sakshi ate of the paratha. Who ate more?
6 5

Solution. Take two parathas and consider them
as fractional discs. Divide them equally into 6 6 1 1 6 1 5 1 5

parts and 5 parts, respectively. 6 1 1 6 1 1
1 1 5 1 5
6 6 5
4 4
Now, take parts and parts, respectively from them. What do you observe?
6 5

Sakshi ate
Anil ate 1 6 1 5

1 6 1 1
1 1 5 1 5
6 6 5

4 4
Clearly, we see that < . So, Sakshi ate more.
6 5

96 Mathematics 5