Page 192 - Ganit Kaushal

Now, let us consider an example of a whole chocolate. We will break it into pieces,
and learn how to represent the broken pieces as parts of fractional units. (see
adjoining figure)

A whole chocolate
Now, the adjoining figure shows a chocolate is broken into two pieces.
1
How much of the original chocolate is each piece? 4
1
Well, we can see that the smaller piece is of the whole chocolate,
4
1 3
and the bigger piece has three pieces of chocolate in it. So, we can 4
4
measure the bigger piece using the fractional unit 1 . It is 3 times 1 . It means a bigger piece has 3
4 4
1 1 1 1 1 3
parts of a fractional unit . So, the bigger piece is 3 × = + + = , as shown in the figure.
4 4 4 4 4 4
Now, let us cut the whole chocolate into 6 pieces in two different ways, as shown in the picture below.

How much of the original chocolate is the smaller piece in both cases?

Write it in the boxes given for this purpose.
Are they of the same size?
1
Great! You are absolutely right. It is in both cases. Though they are cut differently, they are of the
6
same size as each piece is one-sixth of the original whole chocolate.

What is the fractional unit of the smaller part of the original chocolate shown in the adjoining figure?
Write it in the box given for the purpose.

Fantastic! You are right again. This time the answer is
1 , as we get this piece by breaking the chocolate into
3 1
three equal pieces. So, this is of the whole chocolate.
3
Measurement using Fractional Units A whole chocolate

We can measure lengths or fractional quantities with the help of fractional units. This can be understood easily
by taking a strip of unit length and folding it equally in various parts.

1444444444444444444442444444444444444444443
0 1
Paper strip
The above figure shows a paper strip of unit length. Let us now fold it into two equal parts and mark the crease with a
line segment. Each part will represent one half of the whole strip, as shown in the figure on the next page.

190 Mathematics-6