Practicing with Maths Mela Class 4 Solutions Chapter 5 Sharing and Measuring Question Answer NCERT Solutions improves a student’s confidence in the subject.
Class 4 Maths Chapter 5 Sharing and Measuring Question Answer Solutions
Sharing and Measuring Class 4 Maths Solutions
Class 4 Maths Chapter 5 Solutions
Parts and Wholes (NCERT Pg 62)
Question 1.
Ikra and her little sister, Samina, decide to make a drawing but they are left with a single drawing sheet. Ikra wants to share the paper by dividing it in half but Samina insists on having a bigger part of the paper. Ikra thought for a moment and proposed a solution.
(i) Which part of the paper you would have chosen-one half or two quarters? Why?
(ii) Do you think Ikra shared the paper equally? Why? Try with a paper.
(iii) How do you know that the paper has been divided equally?
(iv) Why do you think Samina chose two quarters of the paper?
Answer:
(i) One half or two quarters are the same amount. Two quarters make up one half. So, it would not matter which one is chosen.
(ii) Yes, Ikra shared the paper equally as one half is equivalent to two quarters.
(iii) Do yourself
(iv) Do yourself
Let Us Do (NCERT Pg 63-64)
Question 1.
Samina has divided some figures into two parts. Colour the figures that are divided into halves correctly. How did you get the answer?
(i) Which part of the paper you would have chosen-one half or two quarters? Why?
(ii) Do you think Ikra shared the paper equally? Why? Try with a paper.
(iii) How do you know that the paper has been divided equally?
(iv) Why do you think Samina chose two quarters of the paper?
Answer:
(i) One half or two quarters are the same amount. Two quarters make up one half. So, it would not matter which one is chosen.
(ii) Yes, Ikra shared the paper equally as one half is equivalent to two quarters.
(iii) Do yourself
(iv) Do yourself
Let Us Do (NCERT Pg 63-64)
Question 1.
Samina has divided some figures into two parts. Colour the figures that are divided into halves correctly. How did you get the answer?
Answer:
Question 2.
Divide the shapes into halves by drawing a line.
Answer:
Question 3.
Divide these shapes into 4 equal parts/quarters.
Answer:
Question 4
How would we write the fraction for each part if we divided an object into 5 equal parts?
Answer:
The object is divided into 5 equal parts, so the denominator is 5. For one part, numerator is 1 . So, the fraction is \(\frac{1}{5}\).
Let Us Try (NCERT Pg 64-65)
Question 1.
In how many different ways can you fold/cut a rectangular paper in two equal parts? Try it with a rectangular paper.
Answer:
A rectangular paper can be folded/cut into two equal parts in an infinite number of ways.
Question 2.
Try to draw and show five different ways in which we can fold/ cut a rectangle into four equal parts \((\frac{1}{4})\) or quarter
Answer:
Question 3.
Match the following parts with their corresponding wholes.
Answer:
(a) (iv)
(b) (iii)
(c) (ii)
(d) (i)
Let Us Discuss (NCERT Pg 68)
Refer to Acitivity DING DONG BELL! (NCERT Pg 66-68)
Question 1.
What is Sumedha observing about her share as each guest comes in?
Answer:
Her share will decrease.
Question 2.
In which situation will Sumedha get to eat more dhokla when shared among 9 people or 11 people?
Answer:
When distributed among 9 people, Sumedha will get to eat more dhokla.
Question 3.
How many pieces of \(\frac{1}{6}\) would make a complete dhokla?
Answer:
6 pieces
Question 4.
What would be Sumedha’s share, if Idha and Vinayak both give their share of dhokla to her?
Answer:
If Sumedha gets 2 shares, she gets \(\frac{2}{5}\)
Let Us Do (NCERT Pg 68-69)
Question 1.
How much dhokla would each person get if it was shared equally among 6 people? Try also with 8 people.
Who will get the bigger pieces of dhokla? Draw and explain.
Answer:
If dhokla was shared equally among 6 and 8 people then each person gets \(\frac{1}{6}\) and \(\frac{1}{8}\) of the dhokla, respectively. The people in the group of 6 get bigger pieces.
Question 2.
Shade a portion of the dhokla 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.
Answer:
Sumedha’s share for 2,3,4,5,8 and 9 people are \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{8}\) and \(\frac{1}{9}\) respectively and the fractions get smaller as the number of people increases and the whole is divided into more parts.
Let Us Discuss (NCERT Pg 69-70)
Use the fraction kit given at the end of your textbook and answer the following questions.
Question 1.
Share your observations about the different pieces and the whole.
Answer:
The whole is the complete piece. When whole is divided into more parts then each part becomes smaller. All the parts together make up the whole.
Question 2.
Take any two different pieces of the fraction kit and compare them. Discuss which one is smaller and why.
Answer:
The part with the largest denominator is smaller.
Question 3.
Sumedha noticed that when a whole is equally divided in a larger number of parts, each part gets smaller. Do you agree with Sumedha?
Answer:
Yes, I agree with Sumedha.
Question 4.
Sumedha says, ‘When I join 5 pieces of \(\frac{1}{5}\), it makes a whole dhokla.’ Try to do it yourself with your fraction kit.
Answer:
Do yourself
Question 5.
Sumedha says that this part is one-third of the complete whole. Why is she saying so?
Answer:
Because the whole is divided into 3 equal parts and this is one of them. So, it is one-third of the complete whole.
Question 6.
Fill in the blanks.
(i) ______ is greater than ______ \((\frac{1}{5}, \frac{1}{4}\))
(ii) ______ >______ \((\frac{1}{9}, \frac{1}{6}\))
(iii) \(\frac{1}{6}\) ______ \(\frac{1}{8}\)
(iv) ______ is smaller than ______ (______ ,______ ).
Answer:
(i) \(\frac{1}{4}\) is greater than\( \frac{1}{5}\) as denominator is small in \(\frac{1}{4}\).
(ii) \(\frac{1}{6}\)>\(\frac{1}{9}\) as denominator is smaller in \(\frac{1}{6}\).
(iii) \(\frac{1}{6}\)>\(\frac{1}{8}\) as denominator is smaller in \(\frac{1}{6}\).
(iv) Do yourself
My Flower Garden (NCERT Pg 70-71)
Question 1.
Idha has seeds of 5 different flowering plants- Rose, Mogra, Lily, Marigold and Jasmine. She decides to plant them equally in her garden as shown in the picture.
I have very few Lily seeds so I will plant Roses in two parts. Her revised plan is shown here.
(i) Look at the garden and answer the questions.
(i) Mogra in \(\frac{1}{5}\) or one-fifth part of the garden.
(a) Marigold in ______ part of the garden.
(b) Jasmine in ______ part of the garden.
Rose in \(\frac{1}{5}\) and \(\frac{1}{5}\) part or a total of \(\frac{2}{5}\) (two-fifths) part of the garden.
(ii) Look at the garden and answer the questions.
(a) Mogra in _______ part.
(b) Marigold in _______ part.
Rose in \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\) part or a total of \(\frac{3}{5}\) (three-fifths) part.
(iii) Look at the garden and answer the questions.
Marigold in ………… part.
Rose in \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\) or a total of \(\frac{4}{5}\) (four-fifths) part.
Answer:
(i) (a) Marigold in \(\frac{1}{5}\) or one-fifth part of the garden.
(b) Jasmine in \(\frac{1}{5}\) or one-fifth part of the garden.
(ii) (a) Mogra in \(\frac{1}{5}\) part.
(b) Marigold in \(\frac{1}{5}\) part.
(iii) Marigold in \(\frac{1}{5}\) part.
Let Us Do (NCERT Pg 71-72)
Question 1.
Make a flower garden with seven flowering seeds-Mogra, Marigold, Jasmine, Rose, Lily, Hibiscus and Periwinkle.
(i) Marigold in one-seventh \((\frac{1}{7})\) and Rose and Hibiscus in three-sevenths \((\frac{3}{7})\) part each.
(ii) Lily in three-sevenths \((\frac{3}{7}) \), Marigold in two-sevenths \((\frac{2}{7}) \) and Periwinkle in another two-sevenths \((\frac{2}{7}) \).
(iii) Mogra in five-sevenths \((\frac{5}{7})\) part and Hibiscus in two-sevenths \((\frac{2}{7})\)
Answer:
Dream Dosa Designer (NCERT Pg 72-73)
Refer to Activity DREAM DOSA DESIGNER!! (NCERT Pg 72)
Question 1.
Write the fractions for each of the toppings in the following dosas.
Answer:
Question 2.
Make different dosas based on demand.
| Make a dosa with \(\frac{2}{3}\) topping of spicy onion, \( \frac{1}{3}\) of classic potato. | Make a dosa with \(\frac{3}{8}\) of classic potato, \(\frac{1}{8}\) of chilly paneer and \(\frac{4}{8}\) of tangy tomato mix. |
Answer:
Do yourself
Let Us Explore (NCERT Pg 73)
Question 1.
Meena has 8 diyas. Colour \(\frac{1}{4}\) of her diyas red. To find \(\frac{1}{4}\), let us divide the number of diyas into 4 equal parts. Can you see how to divide the diyas into 4 equal parts? Now colour 2 diyas red.
Answer:
To find \(\frac{1}{4}\), we divide 8 diyas into 4 equal parts.
∴ \(\frac{1}{4}\) of 8 diyas = \(\frac{1}{4}\) × 8=2
Let Us Do (NCERT Pg 74)
Question 1.
Now let us try to find fractions for the situations given below. Circle the appropriate parts in the pictures.
(i) There are 12 cookies.
What fraction 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
(ii) Simran calls her school friends for her birthday party. \(\frac{1}{3}\) of her friends receive a hairband as their return gift. Place hairbands on \(\frac{1}{3}\) of her friends.
(iii) Draw flowers in \(\frac{1}{5}\) of the given number of pots.
Answer:
(i) (a) 3 children =\(\frac{3}{12}=\frac{1}{4}\)
(b) 6 children = \(\frac{6}{12}=\frac{1}{2} \)
(c) 2 children = \(\frac{2}{12}=\frac{1}{6} \)
(d) 4 children = \(\frac{4}{12}=\frac{1}{3} \)
(ii) \(\frac{1}{3}\) of Simrans friends =\(\frac{1}{3}\) x 9=3 and place hairbands yourself.
(iii) \(\frac{1}{5}\) of pots =\(\frac{1}{5}\) x 15=3 and draw yourself.
Let Us Find Fractions in Our Surroundings (NCERT Pg 75)
Question 1.
Kadamba is excited to know where we use fractions in daily life. She found some examples below. Help her find more examples and try to draw the images of the same in your notebook.
(i) 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 \(\frac{1}{4}\) of the whole.
Answer:
(i) Total barfis in the box =16
Number of parts =4
Number of barfis in each part = \(\frac{1}{4}\) ×16=4
(ii) Do yourself
Try Yourself (NCERT Pg 75)
Question 1.
Observe your surroundings and think of situations where we use fractions and write any two of them in the space provided below.
(i) …………
(ii) ………..
Answer:
(i) Do yourself
(ii) Do yourself
Let Us Try (NCERT Pg 77)
Question 1.
Take another piece of paper and try the same starting with two equal parts and halving every time.
Share the findings with your friends. \(\frac{1}{2}=\frac{2}{4}=\) ………=……………= ……..
Answer:
\(\frac{1}{2}=\frac{2}{4}=\frac{4}{8}=\frac{8}{16}=\frac{16}{32}\)
Let Us Discuss (NCERT Pg 77)
Question 1.
Observe the fraction chart and discuss the following questions. You may use your fraction kit, also to explore the answers.
(i) How many \(\frac{1}{4} \)s are equal to \(\frac{1}{2} \) ?
(ii) Is \(\frac{2}{3} \) less than or greater than \(\frac{1}{2}\) ?
(iii) Ten pieces of \(\frac{1}{10}\) make a complete whole. Is this statement true?
(iv) Three pieces of \(\frac{1}{6}\) are equal to two pieces of \(\frac{1}{8}\). Is this true?
(v) How many pieces of \(\frac{1}{8}\) make \(\frac{1}{4}\) ?
(vi) Find the pieces that you can put together to make another bigger piece.
Answer:
(i) From chart, two \(\frac{1}{4}\)s equal to \(\frac{1}{2}\)
(ii) From chart, we can see that \(\frac{2}{3}\) is greater than \(\frac{1}{2}\)
(iii) True
(iv) False
(v) 2 pieces of \(\frac{1}{8}\) make \(\frac{1}{4}\)
(vi) Do yourself
Let Us Do (NCERT Pg 78-79)
Question 1.
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.
Answer:
Do yourself
Question 2.
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.
Answer:
Question 3.
Identify the fractions represented by the coloured parts in the given pictures.
Answer:
(i) \(\frac{9}{18}=\frac{1}{2}\)
(ii) \(\frac{6}{18}=\frac{1}{3}\)
(iii) \(\frac{3}{18}=\frac{1}{6}\)
Question 4.
Identify the fraction of the whole that the shaded parts make in each of the pictures given below.
Answer:
(i) \(\frac{2}{6}=\frac{1}{3}\)
(ii) \(\frac{4}{8}=\frac{1}{2}\)
(iii) \(\frac{6}{9}=\frac{2}{3}\)
Question 5.
Divide the following into equal parts and shade the appropriate parts in each.
(i) \(\frac{2}{6}=\frac{1}{3}\)
(ii) \(\frac{4}{8}=\frac{1}{2}\)
(iii) \(\frac{6}{9}=\frac{2}{3}\)
Answer:
