Fractions - Class 5 Mathematics (CBSE)

Based on the current NCERT Maths Mela Grade 5 sequence. Read the idea, try the activity, then solve the practice set without looking at the answers.

1. Why this chapter matters

Fractions uses familiar Class 5 situations to make mathematics feel usable. Instead of treating maths as a list of sums, this chapter asks students to notice information, choose a method, explain the method, and check whether the answer makes sense.

The main focus is seeing fractions as equal parts, shares, collections, and points on a number line. This is useful in notebooks, oral questions, class activities, and competency-based school tests because teachers often ask students to explain how they know, not just write the final number.

2. Core ideas

Idea 1

A fraction names equal parts of a whole.

Method 2

The denominator tells how many equal parts, and the numerator tells how many are taken.

Skill 3

Equivalent fractions look different but show the same value.

3. Worked examples

Example 1: Shade 3 out of 8 equal parts. What fraction is shaded?

The shaded fraction is 3/8.

Check: The answer uses the correct operation and keeps the unit or context clear.

Example 2: Which is bigger: 1/2 or 1/4?

With the same whole, 1/2 is bigger because two equal parts are larger than four smaller parts.

Check: The answer uses the correct operation and keeps the unit or context clear.

4. Activity corner

Fold a paper strip into halves, fourths, and eighths. Label each fold and notice which fractions line up.

Write your activity answer in three parts:

• What I observed
• What I calculated or compared
• What mathematical idea this shows

5. Common mistakes

• Mistake: Solving before reading the whole word problem Fix: Circle the data, underline the question, and then choose the operation.
• Mistake: Forgetting units such as cm, m, kg, L, minutes, or rupees Fix: Write the unit with every final answer.
• Mistake: Doing only exact calculation without checking reasonableness Fix: Use estimation or reverse operation to catch impossible answers.

6. How to write better answers

1. Write the given numbers and units first.
2. Show the operation or reasoning step.
3. Use a diagram, table, grid, or number line if it makes the answer clearer.
4. Write the final answer in a complete sentence.
5. Check the answer by estimation, reverse operation, or common sense.

7. Practice set

1. What does the denominator show?
2. Write a fraction for 5 mangoes out of 12 mangoes.
3. Which is greater, 3/4 or 2/4?
4. Write one fraction equal to 1/2.
5. A ribbon is cut into 6 equal pieces. Mira uses 2 pieces. What fraction did she use?
6. Why must parts be equal in a fraction?

8. Answer key

1. What does the denominator show? Answer: It shows the number of equal parts in the whole.

2. Write a fraction for 5 mangoes out of 12 mangoes. Answer: 5/12.

3. Which is greater, 3/4 or 2/4? Answer: 3/4 is greater because the denominator is same and 3 is more than 2.

4. Write one fraction equal to 1/2. Answer: 2/4, 3/6, or 4/8.

5. A ribbon is cut into 6 equal pieces. Mira uses 2 pieces. What fraction did she use? Answer: 2/6, which is equal to 1/3.

6. Why must parts be equal in a fraction? Answer: Unequal parts do not show fair shares, so the fraction name becomes misleading.

9. Quick revision

• Main focus: seeing fractions as equal parts, shares, collections, and points on a number line.
• A fraction names equal parts of a whole.
• The denominator tells how many equal parts, and the numerator tells how many are taken.
• Equivalent fractions look different but show the same value.
• Learn by doing the activity once, not by memorising only the final answers.
• Keep units clear and show steps for partial marks.