Class 4 Maths Chapter 5: Sharing And Measuring – NCERT Solutions

NCERT Solutions for Class 4 Maths Chapter 5 Sharing And Measuring (2025-26)

Let Us Discuss

1. Which part of the paper you would have chosen—one half or two quarters? Why?

Answer: I would choose two quarters because two quarters together make the same part as one half of the paper. So, whether we take one half or two quarters, the share of paper is equal.

2. Do you think Ikra shared the paper equally? Why? Try with a paper.

Answer: Yes, Ikra shared the paper equally. One half of the paper and two quarters of the paper together cover the whole sheet. When we join two quarters, they make the same size as one half.

3. How do you know that the paper has been divided equally?

Answer: The paper has been divided equally if all parts are of the same size and shape. By folding or measuring both parts, if they completely overlap or match, then the paper is divided into equal parts.

4. Why do you think Samina chose two quarters of the paper?

Answer: Samina chose two quarters because the number “two” sounds more than “one.” She felt that “two quarters” would give her a bigger part than “one half,” although both are actually equal.

Let Us Do

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 colour only those figures in which the two parts are exactly equal in size and shape. If both parts match when folded or measured, then they show halves and are coloured.

2. Divide the shapes into halves by drawing a line.

Answer: Draw a straight line so that it divides each shape into two equal parts. The line can be vertical, horizontal, or slanting, but both sides of the line must be equal in area.

Think: How would we write the fraction for each part if we divided an object into 5 equal parts?

Answer: If an object is divided into 5 equal parts, each part is written as the fraction 1/5 of the whole.

Many Ways to Make Halves and Quarters – Let Us Try

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 different ways, such as by a vertical line, a horizontal line, or along some slanting lines, as long as both parts are equal in area.

2. Draw and show five different ways to fold/cut a rectangle into four equal parts (quarters).

Answer: We can draw: (i) two vertical lines, (ii) two horizontal lines, (iii) one vertical and one horizontal line crossing at the centre, (iv) two slanting lines making equal areas, and (v) any other pattern that gives four equal parts (quarters).

3. Match the following parts with their corresponding wholes.

Answer:

Parts (Given)	Whole (Matches)
1. A half (1/2)	A whole made of 2 such parts
2. A quarter (1/4)	A whole made of 4 such parts
3. A third (1/3)	A whole made of 3 such parts
4. A fifth (1/5)	A whole made of 5 such parts

Ding Dong Bell!! – Let Us Discuss

1. What is Sumedha observing about her share as each guest comes in?

Answer: Sumedha observes that as more guests arrive and the dhokla is shared among more people, her share becomes smaller each time.

2. In which situation will Sumedha get to eat more dhokla: when shared among 9 or 11 people?

Answer: Sumedha will get more dhokla when it is shared among 9 people, because sharing among fewer people gives each person a bigger piece than sharing among 11 people.

3. How many pieces of 1/6 would make a complete dhokla?

Answer: Six pieces of 1/6 would make one complete dhokla, because 6 × 1/6 = 1 whole.

4. What would be Sumedha's share if Idha and Vinayak both gave their share to her?

Answer: Sumedha’s share will be her own share plus the shares of Idha and Vinayak. So she will get three shares altogether, which is 3 times the fraction that one person gets.

Ding Dong Bell!! – Let Us Do

1. How much dhokla would each person get if shared among 6 people? Try with 8 people. Who gets the bigger piece?

Answer: If the dhokla is shared among 6 people, each gets 1/6. If it is shared among 8 people, each gets 1/8. Since 1/6 is greater than 1/8, each person gets a bigger piece when it is shared among 6 people.

2. Shade a portion of the dhokla to represent Sumedha's share when shared among 2, 3, 4, 5, 8, and 9 people.

Answer: When shared among 2, 3, 4, 5, 8, and 9 people, Sumedha’s share will be 1/2, 1/3, 1/4, 1/5, 1/8, and 1/9 of the dhokla respectively. Shade one equal part in each case to show her share.

Use the Fraction Kit – Let Us Discuss

1. Observe different pieces of the fraction kit and compare them to the whole.

Answer: Each smaller piece of the fraction kit, like 1/2, 1/3, 1/4, 1/5, etc., when compared with the whole, shows what part of the whole it is. More pieces are needed to make the whole when the pieces are smaller.

2. Take two pieces and find out which one is smaller and why.

Answer: Between two pieces like 1/4 and 1/5, the piece with the larger denominator (here 1/5) is smaller. This is because the whole is divided into more parts, so each part becomes smaller.

3. Agree or disagree: Sumedha noticed that as we divide a whole into more parts, each part gets smaller.

Answer: Agree. When a whole is divided into more equal parts, each part becomes smaller. For example, 1/8 is smaller than 1/4.

4. Try to join 5 pieces of 1/5 to make a whole.

Answer: When we join 5 pieces of 1/5, we get 5 × 1/5 = 5/5 = 1 whole. So five 1/5 pieces make one complete whole.

5. Why does Sumedha say one piece is one-third?

Answer: Sumedha says one piece is one-third because the whole has been divided into 3 equal parts, and each part is therefore 1/3 of the whole.

Use the Fraction Kit – Let Us Try

1. Fill in the blanks:

• ________ is greater than ________ (1/5, 1/4).

Answer: 1/4 is greater than 1/5.

• ________ > ________ (1/9, 1/6).

Answer: 1/6 > 1/9.

• 1/6 _____ 1/8.

Answer: 1/6 > 1/8.

• ________ is smaller than ________.

Answer: 1/8 is smaller than 1/6.

My Flower Garden – Let Us Do

Make a flower garden using seven kinds of seeds and show their fractions:

a) Marigold = 1/7, Rose = 3/7, Hibiscus = 3/7

Answer: Divide the garden into 7 equal parts. Use 1 part for Marigold (1/7), 3 parts for Rose (3/7), and 3 parts for Hibiscus (3/7). Together these make the whole garden.

b) Lily = 3/7, Marigold = 2/7, Periwinkle = 2/7

Answer: Divide the garden into 7 equal parts. Use 3 parts for Lily (3/7), 2 parts for Marigold (2/7), and 2 parts for Periwinkle (2/7). All 7 parts are then filled.

c) Mogra = 5/7, Hibiscus = 2/7

Answer: Divide the garden into 7 equal parts. Use 5 parts for Mogra (5/7) and 2 parts for Hibiscus (2/7) to make the complete garden.

Dream Dosa Designer!!

Karan designs dosas with toppings. Toppings can be divided as fractions of a dosa.

Flavour	Fraction
Classic Potato	1/4
Spicy Onion	1/4
Chilly Paneer	1/4
Tangy Tomato	1/4

Answer: Each topping covers 1/4 of the dosa. Four quarters (4 × 1/4) together make one complete dosa.

Do It Yourself

Write the fractions for the toppings in the dosas provided. Also:

• Meena has 8 diyas. Colour 1/4 (2 diyas) red.

Answer: Since 1/4 of 8 diyas = 8 ÷ 4 = 2 diyas, Meena should colour any 2 of the 8 diyas red to show 1/4.

Let Us Explore

• Make a dosa with 3/8 classic potato, 1/8 chilly paneer, 4/8 tangy tomato.

Answer: Divide the dosa into 8 equal parts. Put classic potato on 3 parts (3/8), chilly paneer on 1 part (1/8), and tangy tomato on 4 parts (4/8). All 8 parts are filled.

• Make a dosa with 2/3 spicy onion, 1/3 classic potato.

Answer: Divide the dosa into 3 equal parts. Spread spicy onion on 2 parts (2/3) and classic potato on 1 part (1/3) to cover the whole dosa.

Word Problems

1. Divide 12 cookies among:

• 3 children → 4 cookies
• 6 children → 2 cookies
• 2 children → 6 cookies
• 4 children → 3 cookies

Answer: The division is correct: 12 ÷ 3 = 4 cookies each; 12 ÷ 6 = 2 each; 12 ÷ 2 = 6 each; 12 ÷ 4 = 3 each.

2. Simran’s party: 1/3 of friends get hairbands. Show it.

Answer: Count the total number of friends shown. Divide them into 3 equal groups. Shade or mark one group to show that 1/3 of the friends get hairbands.

3. Draw flowers in 1/5 of the shown pots.

Answer: Count the total number of pots. Divide them into 5 equal groups. Draw flowers only in one of these groups to show 1/5 of the pots.

Fractions Around Us

1. 16 barfis in a box → divide into 1/4 parts (4 pieces of 4 barfis)

Answer: To show 1/4, divide 16 barfis into 4 equal groups of 4 barfis each. Each group of 4 barfis represents 1/4 of the box.

2. Mohan’s ribbon is one-fourth of Rohan's ribbon. Draw and compare.

Answer: First draw Rohan’s ribbon as a long strip. Then divide it into 4 equal parts. Draw Mohan’s ribbon equal to one of these parts. This shows Mohan’s ribbon is 1/4 of Rohan’s ribbon.

Try Yourself

Think of 2 real-life examples involving fractions and write them down.

Answer: (i) Sharing a chocolate bar equally among 4 friends – each gets 1/4. (ii) Filling a 1-litre bottle using four 1/4-litre cups – each cup is 1/4 of a litre.

PAPER FOLDING AND FRACTIONS

1. Take a rectangle paper, fold into 3 equal parts

Answer: Fold the rectangular paper so that it is divided into 3 equal strips. Each strip represents 1/3 of the whole paper.

2. Color 1 part. Fold again into half.

Answer: Colour one of the three parts to show 1/3. Then fold the paper again into half so that each of the three parts is also divided into 2 equal parts.

3. What fraction is now shaded? Observe that: 1/3 = 2/6

Answer: After folding again, the paper is divided into 6 equal parts and the coloured region covers 2 of them. So the shaded fraction is 2/6, which is equal to 1/3.

4. Try folding 1/2 into 2/4 = 4/8 = ...

Answer: If we keep folding the half into equal parts, we get more pieces like 2/4, 4/8, etc. All these fractions represent the same part as 1/2 of the whole.

Using Fraction Chart – Let Us Discuss

1. How many 1/4 make 1/2? → 2

Answer: Two 1/4 pieces make 1/2 because 1/4 + 1/4 = 2/4 = 1/2.

2. Is 2/3 greater than 1/2? → Yes

Answer: Yes, 2/3 is greater than 1/2. On the fraction chart, the strip for 2/3 is longer than the strip for 1/2.

3. Do ten 1/10 make a whole? → Yes

Answer: Yes, ten 1/10 pieces make one whole because 10 × 1/10 = 10/10 = 1.

4. Are 3 x 1/6 = 2 x 1/8? Try it!

Answer: 3 × 1/6 = 3/6 = 1/2, while 2 × 1/8 = 2/8 = 1/4. Since 1/2 ≠ 1/4, they are not equal.

5. How many 1/8 make 1/4?

Answer: Two pieces of 1/8 make 1/4 because 1/8 + 1/8 = 2/8 = 1/4.

6. Combine smaller parts to make a whole.

Answer: We can join: two 1/2 pieces, three 1/3 pieces, four 1/4 pieces, five 1/5 pieces, eight 1/8 pieces, ten 1/10 pieces, etc., to make one whole.

Visual Fractions Activity

1. Circle squares cut into equal parts. Write shaded fraction.

Answer: Circle only those squares where all parts are equal in size. Then count shaded parts and total parts, and write the fraction as: shaded parts / total parts.

2. Check claims made by children about colored fractions. Mark correct or incorrect.

Answer: For each picture, count the coloured parts and total parts. If the fraction matches the claim, mark it correct; otherwise, mark it incorrect.

3. Identify fractions represented by colored parts in diagrams.

Answer: For every diagram, write the fraction as: number of coloured parts divided by number of equal parts in the whole figure.

4. Identify the fraction blue parts make in each image.

Answer: Count how many parts are blue and how many total parts there are. The blue fraction is: blue parts / total parts.

5. Shade shapes with the following: 2/3, 4/6, 3/4, 1/4. Can you also show 1/8?

Answer: For each shape, divide it into the required number of equal parts and shade the given number of parts: 2 out of 3, 4 out of 6, 3 out of 4, 1 out of 4, and 1 out of 8 to show 1/8.

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NCERT Class 4 Maths Chapter 5 Sharing And Measuring Overview

In Class 4 Maths Chapter 5 Sharing And Measuring, you learn how a whole is divided into parts and wholes using fractions like 1/2, 1/3, 1/4 and more. These NCERT Solutions 2025-26 make every activity easy to understand.

By practicing questions on halves and quarters, dhokla sharing, flower gardens and dosa designs, students build strong number sense. Clear diagrams and stepwise explanations help children relate fractions to real-life situations quickly and confidently.

To score well, revise all exercise-based questions, compare fractions using the fraction kit, and try extra word problems. Regular revision of NCERT Solutions Class 4 Maths Chapter 5 ensures better understanding and improves exam performance.