NCERT Solutions for Class 4 Maths Chapter 5 Sharing and Measuring

Sharing and Measuring Class 4 Question Answer

The main questions in Sharing and Measuring Class 4 focus on dividing a whole into equal parts and understanding the fraction represented by each part.

One Half and Two Quarters

Question: Which is greater: one-half or two-quarters of the same whole?

Answer: They are equal.

12=24\frac{1}{2}=\frac{2}{4}

So, one-half and two-quarters represent the same amount.

Question: How can you check whether a whole has been divided equally?

Answer: Fold or compare the parts to check whether they are the same size. Equal parts are needed to represent a fraction correctly.

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Sharing a Whole Equally

When the same whole is shared among more people, each person gets a smaller share.

For example:

• 2 people → each gets 1/2

• 3 people → each gets 1/3

• 4 people → each gets 1/4

• 5 people → each gets 1/5

Therefore,

12>13>14>15\frac{1}{2}>\frac{1}{3}>\frac{1}{4}>\frac{1}{5}

This is one of the main ideas developed in the chapter.

Sharing and Measuring Class 4: Dhokla Example

The chapter uses sharing food to show how the size of a share changes.

If a whole is shared equally among 6 people, each person gets:

16\frac{1}{6}

If the same whole is shared among 8 people, each person gets:

18\frac{1}{8}

Since

16>18\frac{1}{6}>\frac{1}{8}

the share is larger when the whole is divided among 6 people.

How Many Parts Make One Whole?

If one whole is divided into equal parts:

• 2 pieces of 1/2 make 1 whole.

• 4 pieces of 1/4 make 1 whole.

• 5 pieces of 1/5 make 1 whole.

• 6 pieces of 1/6 make 1 whole.

• 10 pieces of 1/10 make 1 whole.

For example:

5×15=15\times\frac{1}{5}=1

Read More : NCERT Solutions for Class 4 Maths Chapter 4 Thousands Around Us

Sharing and Measuring Class 4 Extra Questions

Question 1: Which is greater, 1/4 or 1/5?

Answer: 1/4 is greater than 1/5 because the whole is divided into fewer equal parts.

14>15\frac{1}{4}>\frac{1}{5}

Question 2: Which is greater, 1/6 or 1/9?

Answer: 1/6 is greater than 1/9.

16>19\frac{1}{6}>\frac{1}{9}

Question 3: How many 1/8 pieces make 1/4?

Answer:

18+18=28=14\frac{1}{8}+\frac{1}{8}=\frac{2}{8}=\frac{1}{4}

So, two pieces of 1/8 make 1/4.

Question 4: Is 2/3 greater than 1/2?

Answer: Yes.

23>12\frac{2}{3}>\frac{1}{2}

Question 5: What fraction of 16 barfis is one-fourth?

Answer:

16÷4=416\div4=4

So, one-fourth of 16 barfis is 4 barfis.

Sharing and Measuring Class 4 Worksheet with Answers

Fill in the blanks

1. One of two equal parts is called a ______.

2. One of four equal parts is called a ______.

3. Two quarters are equal to ______ half.

4. Five pieces of 1/5 make ______ whole.

5. Which is greater: 1/4 or 1/5? ______

6. Which is greater: 1/6 or 1/8? ______

7. Two pieces of 1/8 make ______.

8. One-fourth of 12 is ______.

Answers

1. Half

2. Quarter

3. One

4. One

5. 1/4

6. 1/6

7. 1/4

8. 3

Parts and Wholes in Class 4 Maths Chapter 5

A whole is something complete. When a whole is divided into equal parts, each part can be represented by a fraction.

For example:

• 1 out of 2 equal parts = 1/2

• 1 out of 4 equal parts = 1/4

• 1 out of 5 equal parts = 1/5

The parts must be equal for the fraction to represent the whole correctly. The chapter uses paper-folding and other activities to help students recognise equal parts.

Comparing Fractions in Sharing and Measuring

When comparing unit fractions such as 1/2, 1/3, 1/4 and 1/5, the fraction with the smaller denominator has the larger share, provided the fractions represent parts of the same whole.

For example:

12>13\frac{1}{2}>\frac{1}{3}

and

13>14\frac{1}{3}>\frac{1}{4}

So,

12>13>14\frac{1}{2}>\frac{1}{3}>\frac{1}{4}

The reason is simple: dividing the same whole into more equal parts makes each individual part smaller.

Read More : NCERT Solutions for Class 4 Maths Chapter 4 Thousands Around Us

Finding Fractions of a Group

Fractions can also describe a part of a group of objects.

For example, suppose there are 12 cookies.

• If 2 children share them equally, each gets 6 cookies, or 1/2 of the total.

• If 3 children share them equally, each gets 4 cookies, or 1/3.

• If 4 children share them equally, each gets 3 cookies, or 1/4.

• If 6 children share them equally, each gets 2 cookies, or 1/6.

This connects equal sharing with fractions.

Equivalent Fractions in Class 4

Different fractions can represent the same amount.

For example:

12=24\frac{1}{2}=\frac{2}{4}

Similarly,

13=26\frac{1}{3}=\frac{2}{6}

The chapter uses folding and fraction activities to help students see how one fraction can be represented in different forms.

Fractions in Everyday Life

Fractions are used when we:

• Share food equally.

• Divide a paper into equal parts.

• Divide a group of objects.

• Measure part of an object.

• Share a pizza, dosa, cake, or chocolate.

• Describe a part of a garden or collection.

The chapter connects these everyday situations with fractions so students can understand the idea of equal parts more clearly.

Class 4 Maths Chapter 5 Quick Revision

• A whole can be divided into equal parts.

• One of two equal parts is 1/2, or one-half.

• One of four equal parts is 1/4, or one-quarter.

• Two quarters are equal to one-half.

• More people sharing the same whole means a smaller share for each person.

• 1/2 is greater than 1/4.

• 1/4 is greater than 1/5.

• Two 1/8 pieces make 1/4.

• Five 1/5 pieces make one whole.

• Fractions can represent parts of a whole as well as parts of a group.