To Compare Natural Fraction and identifies greater and Smaller.
Mother: Muthamizh and Sentamizh come here
Muthamizh & Sentamizh: Yes, Amma
(Mother had four equal parts of a watermelon. She gave them each one piece of the watermelon)
Sentamizh : Amma, I need one more piece? (She gave another piece to him)
Muthamizh : Amma you gave more than one piece to brother, that’s 1/4 for me and 2/4 for brother.
Mother : Muthamizh! Sentamizh is your younger brother know? So only I gave him ok, eat it and then play (After returned from the play)
Sentamizh : Amma, I am hungry (Mother gave last piece of the watermelon to him)
Muthamizh : Amma you gave me 1/4 part of the watermelon. For brother you gave 2/4 it’s more than 1/4. Now you gave the last piece (1/4) part to brother so you gave more (3/4) parts of the watermelon.
Mother : you Know, your brother never tolerate his hungry? I have milk for you, go and drink it.
The four equal pieces of the watermelon
A piece given to Muthamizh = 1/4
First a piece given to Sentamizh = 1/4
Again a piece given to Sentamizh = 2/4
Muthamizh Compares her piece of fruit with his brother and realizes that her mother gives more pieces to him than her. 2/4 is greater than 1/4 or
1/4 < 2/4
Sentamizh after finished his playing he ate one more piece = 1/4
So totally he ate = 3/4 (three fourth)
Muthamizh now realize that 3/4 is greater than 2/4, Muthamizh Compares all the three:
3/4 is greater than 1/4
3/4 is greater than 2/4
Thus: 1/4 < 2/4 < 3/4
1/4 < 2/4 < 3/4
Simple fraction (or like fraction)
1/4 < 2/4 < 3/4
The shaded portion of the circle’s fraction
1/4, 2/4, 3/4
Here 1, 2, 3 = Numerator
4, 4, 4 = Denominator
Thus the fractions have same denominator, such fractions are called similar or like fraction.
Similar (like) fraction are fraction with same denominators.
Identify which one is greater or smaller
• If you observe the pictures you can notice that they are equally divided.
• In the 1st picture one part is shaded so its fraction = 1/4
• In the 2nd picture two parts are shaded. So its fraction = 2/4
In picture 2 the shaded portion is greater than picture 1.
Picture 2 is greater than picture 1
∴ 2/4 > 1/4
1st picture's fraction = 2/5
2nd picture's fraction = 3/5
Here the shaded portion of the 2nd picture is high, so the 2nd picture is greater than the first.
In other words we can say picture 1 is smaller than picture 2
2/5 < 3/5 ( 2/5 is smaller than 3/5)