NCERT Solutions for Class 4 maths Chapter 5: Sharing and Measuring

Which part of the paper you would have chosen – one half or two quarters? Why?
Solution:
I would choose one half or two quarters because they are the same amount. One-half of the paper is equal to two quarters.

Do you think Ikra shared the paper equally? Why? Try with a paper.
Solution:
Yes, Ikra shared the paper equally because one-half is the same as two quarters. Both parts are of the same size.

How do you know that the paper has been divided equally?
Solution:
The paper has been divided equally because two quarters make up the same area as One half. If we combine two quarters, they form a half.

Why do you think Samina chose two quarters of the paper?
Solution:
Samina may have chosen two quarters because it sounds like she is getting more pieces, even though the total amount is the same as that of half.

Samina has divided some figures into two parts. Colour the figures that are divided into halves correctly. How did you get the answer?

Solution:
Do it yourself.

Divide the shapes into halves by drawing a line.

Solution:

Divide these shapes in 4 equal parts/quarters.

Solution:

In how many different ways can you fold/cut a rectangular paper in two equal parts? Try it with a rectangular paper.

Solution:
Do it yourself.

Now try to draw and show five different ways in which we can fold/cut a rectangle into four equal parts ( or quarter).

Solution:
Do it yourself.

Match the following parts with their corresponding wholes.

Solution:

What is Sumedha observing about her share as each guest comes in?
Solution:
Sumedha is observing that as many guests arrive, the dhokla has to be shared among more people. This means her portion of dhokla keeps getting smaller.

In which situation will Sumedha get to eat more dhokla: when shared among 9 people or 11 people?
Solution:
Sumedha will get to eat more when the dhokla is shared among 9 people because the fewer the people, the bigger the share each person gets.

How many pieces of would make a complete dhokla?
Solution:
Since, each piece is of the dhokla, and
6 × = 1
So, 6 pieces of would make a complete dhokla.

What would be Sumedha’s share if Idha and Vinayak both give their share of dhokla to her?
Solution:
Idha’s share =
Vinayak’s share =
Sumedha’s total share =
So, Sumedha will get of the dhokla if both Idha and Vinayak give their share to her.

How much dhokla each person would get if it was shared equally among 6 people? Try also with 8 people. Who will get the bigger piece of dhokla? Draw and explain.
Solution:
If shared among 6 people.
Each person would get part of the dhokla.

Shade a portion of the dhakla to represent the fraction Sumedha would get when the dhokla is shared equally among the given number of people. Discuss why the fractions get smaller.

Solution:

Share your observations about different pieces and the whole.
Solution:
Do it yourself.

Take any two different pieces of the fraction kit and compare them. Discuss which one is smaller and why.
Solution:
Do it yourself.

Sumedha noticed that when a whole is equally divided in a larger number of parts, each part gets smaller. Do you agree with Sumedha?
Solution:
Yes.

Sumedha says, “When I join 5 pieces of , it makes a whole dhokla”. Try to do it yourself with your fraction kit.
Solution:
Do it yourself.

Sumedha says this part is one- third of the complete whole. Why is she saying so?
Solution:
The taken part is one-third because the dhokla is divided into three parts.

Mogra in five-sevenths () part and Hibiscus in two-sevenths ().

There are 12 cookies. What part of cookies will each get if the number of children are as follows:

(a) 3 children
(b) 6 children
(c) 2 children
(d) 4 children
Solution:
(a) Total number of cookies = 12
Number of children = 3
Share of each child =
Each child will get 4 cookies.

Simran calls her school friends for her birthday party. of her friends received a hairband as their return gift. Place hairbands on of her friends.

Solution:
Do it yourself.

Draw flowers in of the given number of pots.

Solution:
Do it yourself.

Yesterday Mummy asked to divide a box of barfis into four equal parts. There are 16 barfis in the box. Draw a picture of 16 barfis and find part of the whole. How many barfis are in each part?
Solution:

Barfis in each part = 16 × = 4 barfis

Rohan has a piece of ribbon to decorate his notebook. Mohan’s ribbon is one-fourth as long as Rohan’s ribbon. How long will Rohan’s ribbon be? Draw it.
Mohan’s Ribbon ________
Solution:
Mohan’s ribbon is th of Rohan’s ribbon.
This means Rohan’s ribbon is 4 tinjes the length of Mohan’s ribbon.

Take a rectangular piece of paper and fold the paper into three equal parts and then unfold it.

2. Colour one of the three equal parts as shown in the image.

3. Fold the paper back into three equal parts like before, and then fold it in half.

4. Observe the colored part. What is the fraction for the shaded part now? What does this mean?

5. Fold the paper again and check how the coloured part changes.

6. Write down what fraction you observe after each fold.
= = ____ = ____ = ____

Is less than or greater than 12 ?
_________________________________
Solution:
Since, and .
By comparing, is greater than .
Therefore, is greater than .

Ten pieces of make a complete whole. Is this statement true?
_________________________________
Solution:
Yes, since 10 x = 1

Three pieces of are equal to two pieces of . Is this true?
_________________________________
Solution:
Three pieces of
Two pieces of
Since , so the statement is false.

How many pieces of make ?
_________________________________
Solution:
Since , so 2 pieces of make .

Find the pieces that you can put together to make another bigger piece.
Solution:
Do it yourself.

Bablu is playing with square shapes. He wants to cut them in such a way that each piece is equal in size. Circle the squares which have been cut into equal parts. Write the fraction for the shaded part, whenever possible.

Solution:
Do it yourself.

Check if the children’s claim below about the shaded parts of each of the pictures is correct. Circle the ones which you think are correct, cross out the ones which are not correct. You can draw additional lines to make the parts equal. Discuss your thinking.

Solution:
Do it yourself.

Identify the fractions represented by the coloured parts in the given pictures.

Solution:
, ,

Identify the fraction of the whole that the blue parts make in each of the pictures given below.

Solution:

Divide the following into equal parts and shade the appropriate parts in each.

Solution:
Do it yourself.