Students often refer to Maths Mela Class 4 Solutions Chapter 5 Sharing and Measuring Question Answer NCERT Solutions to verify their answers.
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
Let Us Discuss (Page 62)
Question 1.
Which part of the paper you would have chosen-one half ortwo quarters? Why?
Answer:
Choice of paper: Both one half and two quarters represent the same amount of the paper (the same portion of the whole). The wording might lead Samina to believe “two quarters” is a larger amount, but it’s the same as one half.
Question 2.
Do you think Ikra shared the paper equally? Why? Try with a paper.
Answer:
Fair sharing: Ikra shared the paper equally if each part was a half or two quarters, as they are equivalent.
Question 3.
How do you know that the paper has been divided equally?
Answer:
Verifying equal division: We can visually confirm equal division by comparing the sizes of the parts. If precise measurement is needed, we can use a ruler to ensure the two parts are of equal length or width.
Question 4.
Why do you think Samina chose two quarters of the paper?
Answer:
Samina’s choice: Samina might have chosen two quarters because the word “quarters” might make it seem like a bigger portion of the paper, even though it is the same as one half.
Let Us Do (Pages 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:
We can visually confirm equal division by comparing the sizes of the two parts.
Question 2.
Divide the shapes into halves by drawing a line.
Answer:
Question 3.
Divide these shapes into 4 equal parts/quarters.
When an object is divided into four equal parts, then each part is called a quarter. We write quarter as \(\frac{1}{4}\).
Think: How would we write the fraction for each part if we divided an object into 5 equal parts?
Answer:
Step 1. Determine the denominator. The object is divided into 5 equal parts. The denominator is 5.
Step 2. Determine the numerator. Each part represents 1 out of the 5 parts. The numerator is 5.
Step 3. Write the fraction. The fraction is \(\frac{1}{5}\)
Therefore each part is represented by the fraction \(\frac{1}{5}\).
Many Ways to Make Halves and Quarters
Let Us Try (Pages 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 or cut in two equal parts in two different ways. These are along the horizontal and vertical midlines of the rectangle.
Question 2.
Now 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:
Here are five different ways to fold or cut a rectangle into 4 equal parts.
Question 3.
Match the following parts with their corresponding wholes.
Answer:
Let Us Discuss (Page 68)
Question 1.
What is Sumedha observing about her share as each guest comes in?
Answer:
Sumedha is observing dhokla about her share as each guest comes in.
Question 2.
In which situation will Sumedha get to eat more dhokla: when shared among 9 people or 11 people?
Answer:
More dhokla when shared among fewer people: Sharing among 9 people would result in each person getting a \(\frac{1}{9}\) larger portion of the dhokla than when sharing among 11 people.
Question 3.
How many pieces of \(\frac{1}{6}\) would make a complete dhokla?
Answer:
6 pieces of \(\frac{1}{6}\) would make a complete dhokla.
Question 4.
What would be Sumedha’s share, if Idha and Vinayak both give their share of dhokla to her?
Answer:
Sumedha’s share if Idha and Vinayak both give their share of dhokla to her
= \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = \(\frac{3}{5}\)
Let Us Do (Pages 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 a dhokla is shared equally among 6 people each person gets \(\frac{1}{6}\) of the dhokla.
If a dhokla is shared equally among 8 people each person gets \(\frac{1}{8}\) of the dhokla.
Hence people sharing among 6 will get bigger pieces of dhokla.
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:
Let Us Discuss (Pages 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:
Do it yourself.
Question 2.
Take any two different pieces of the fraction kit and compare them. Discuss which one is smaller and why.
Answer:
Do it yourself.
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.
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 it yourself.
Question 5.
Sumedha says that this part is one-third of the complete whole. Why is she saying so?
Answer:
The taken part is one-third because the dhokla is divided into three parts.
Let us try to fill in the blanks. Both the fractions are parts of the same whole. Use your fraction kit, if necessary. Share your thoughts.
Answer:
My Flower Garden (Pages 70-71)
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 Ì will plant Roses in two parts. Her revised plan is shown here.
Look at the garden and answer the questions.
Answer:
Mogra in \(\frac{1}{5}\) or one-fifth part of the garden.
Marigold in \(\frac{1}{5}\) part of the garden.
Jasmine in \(\frac{1}{5}\) 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.
Look at the garden and answer the questions.
Answer:
Mogra in \(\frac{1}{5}\) part.
Marigold in \(\frac{1}{5}\) part.
Rose in \(\frac{1}{5}\)+\(\frac{1}{5}\)+\(\frac{1}{5}\) part or a total of \(\frac{3}{5}\) (three-fifths) part.
Look at the garden and answer the questions.
Answer:
Marigold in \(\frac{\mathbf{1}}{\mathbf{5}}\) 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.
Rose in \(\frac{5}{5}\) part or the complete garden.
Let Us Do (Pages 71-72)
Make a flower garden with seven flowering seeds-Mogra, Marigold, Jasmine, Rose, Lily, Hibiscus, and Periwinkle?
(a) Marigold in one-seventh (\(\frac{1}{7}\)) and Rose and Hibiscus in threesevenths (\(\frac{3}{7}\)) part each.
Answer:
(b) Lily in three-sevenths (\(\frac{3}{7}\)), Marigold in two-sevenths (\(\frac{2}{7}\)) and Periwinkle in another two-sevenths (\(\frac{2}{7}\)).
Answer:
(c) Mogra in five-sevenths (\(\frac{5}{7}\)) part and Hibiscus in two-sevenths (\(\frac{2}{7}\)).
Answer:
Do It Yourself (Page 73)
Write the fractions for each of the toppings in the following dosas.
Answer:
Now you can make different dosas based on demand.
Answer:
1. Spicy onion = \(\frac{2}{3}\)
2. Classic potato = \(\frac{1}{3}\).
1. Chilly paneer = \(\frac{1}{8}\)
2. Classic potato = \(\frac{3}{8}\)
3. Tango tomato = \(\frac{4}{8}\)
Let Us Explore (Page 73)
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:
Dividing the total no. of diyas by 4
∴ \(\frac{8}{4}\) = 2. Hence \(\frac{1}{4}\) of the 8 diyas is 2.
Let Us Do (Page 74)
Now let us try to find fractions for the situations given below. Circle the appropriate parts in the pictures.
Question 1.
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
Answer:
(a) Dividing the total no. of cookies by the no. of children = \(\frac{12}{3}\) = 4 cookies
(b) Dividing the total no. of cookies by the no. of children = \(\frac{12}{6}\) = 2 cookies
(c) Dividing the total no. of cookies by the no. of children = \(\frac{12}{2}\) = 6 cookies
(d) Dividing the total no. of cookies by the no. of children = \(\frac{12}{4}\) = 3 cookies
Question 2.
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.
Answer:
No. of children = 9
and \(\frac{1}{3}\) of friends receive a hairband
∴ Required No. = 9 × \(\frac{1}{3}\) = 3
Question 3.
Draw flowers in \(\frac{1}{5}\) of the given number of pots.
Answer:
Let Us Find Fractions in Our Surroundings (Page 75)
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.
Question 1.
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. How many barfis are in each part?
Answer:
Dividing the total no. of barfis by the no. of parts = \(\frac{16}{4}\) = 4
∴ Each part has 4 barfis.
Question 2.
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
Answer:
Measuring Mohan’s ribbon in the image which is 3 cm .
Multiplying Mohan’s ribbon length by 4 = 3 × 4 = 12
∴ Rohan’s ribbon is 12 cm long.
Try Yourself (Page 75)
Observe your surroundings and think of situations where we use fractions and write any two of them in the space provided below.
Answer:
1. Sharing. When dividing a cake or pizza among several people, fractions are used to represent each person’s portion. For example if a pizza is cut into 6 slices, each person get \(\frac{1}{6}\) of the pizza.
2. Splitting a bill while eating at a restaurant.
Let Us Do (Page 76)
1. 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 coloured part. What is the fraction for the shaded part now? What does this mean?
Answer:
\(\frac{2}{6}\) = \(\frac{1}{3}\)
5. Fold the paper again and check how the coloured part changes.
6. Write down what fraction you observe after each fold.
Answer:
Let Us Try (Page 77)
Take ariother piece of paper and try the same starting with two equal parts, and halving every time. Share the findings with your friends.
Answer:
Let Us Discuss (Page 77)
Observe the fraction chart and discuss the following questions. You may use your fraction kit also to explore the answers.
1. How many \(\frac{1}{4}\) s are equal to \(\frac{1}{2}\) ?
Answer:
2. Is \(\frac{2}{3}\) less than or greater than \(\frac{1}{2}\) ?
Answer:
3. Ten pieces of \(\frac{1}{10}\) make a complete whole. Is this statement true?
Answer:
Since the result is 1 , the statement is true.
4. Three pieces of \(\frac{1}{6}\) are equal to two pieces of \(\frac{1}{8}\). Is this true?
Answer:
Hence statement is false.
5. How many pieces of \(\frac{1}{8}\) make \(\frac{1}{4}\) ?
Answer:
6. Find the pieces that you can put together to make another bigger piece.
Answer:
Do yourself.
Let Us Do (Pages 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:
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:
Question 4.
Identify the fraction of the whole that the blue parts make in each of the pictures given below.
Answer:
Question 5.
Divide the following into equal parts and shade the appropriat parts in each.
Answer:
