Page 97 - New Medley 3 Semester 2

Comparing and Ordering

Let us understand the fractions using a fraction chart. To make the
fraction chart, we take some paper strips of equal lengths and keep the

first whole, divide the second into 2 equal parts, the third into 3 equal
parts, the fourth into 4 equal parts and so on. Write the fractions and

paste all the strips altogether.

Here are some of them.

0 1

1 1

0 1 2
2 2 2

0 1 2 3

3 3 3 3

0 1 2 3 4

4 4 4 4 4

0 1 2 3 4 5 6

6 6 6 6 6 6 6

0 1 2 3 4 5 6 7 8

8 8 8 8 8 8 8 8 8

0 1 2 3 4 5 6 7 8 9

9 9 9 9 9 9 9 9 9 9

From the above fraction chart, we observe that

0 0 0 0 1 2 3 4 9
I. = = = ... = 0 and = = = = ... = = 1
1 2 3 9 1 2 3 4 9

That means, if the numerator is 0, the fraction means 0 and if the
numerator equals to the denominator, the fraction means 1.

1 1 1 1 1 1 2 2 3 3 4 4
II. > , > , > , and so on. or < , < , < ,etc.
2 3 3 4 4 6 4 3 6 4 9 8

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