Page 98 - New Medley 3 Semester 2

This means, when the denominator increases and the numerator is
the same, the fraction becomes smaller.

1 2 1 2 3 1 2 3 4 5
III. < , < < , < < < < ,etc.
3 3 4 4 4 6 6 6 6 6

This shows that with the same denominator
if the numerator increases, the fraction also Mind it!

becomes bigger.   When there is no part taken
out, the numerator is 0.
1 2 3 4 1 2 3
IV. = = = , = = and so on   There can be no fraction
2 4 6 8 3 6 9 with the zero as the
denominator.
These are called equivalent fractions. The
  When the numerator and
fractions showing same portion of a whole
the denominator are the
are called equivalent fractions. same, it is a whole or 1.

Fractions on the Number Line

We can represent a fraction on the number line by assuming the length

from 0 to 1 as a whole.

2
Example 3: Represent on a number line.
3

Step 1: Draw a line and mark two points 0 and 1.

0 1

Step 2: Divide the length between 0 and 1 into 3 equal parts (as

denominator is 3) by cutting it twice.

0 1

Step 3: Count 2 segments (as numerator is 2) starting from 0 and

2
denote the end mark with .
3

0 2 1
3

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