CBSE Important Questions Class 6 Maths Chapter 7 Fractions

Fractions are numbers that show equal parts of a whole or equal shares of a quantity.
For example, 1/2 means one whole divided into 2 equal parts.

Fractions become easy when students see them as equal shares. CBSE Important Questions Class 6 Maths Chapter 7 help students practise unit fractions, number lines, mixed fractions, equivalent fractions, comparison, and operations. The NCERT Ganita Prakash 2026 chapter uses rotis, chikki, juice, strips, and number lines to build fraction understanding. These questions help students avoid common errors like thinking 1/9 is greater than 1/5.

Key Takeaways

  • Fractional Unit: 1/5 means one whole divided into 5 equal parts.
  • Equivalent Fractions: 1/2, 2/4, and 3/6 show the same share.
  • Mixed Fraction: 9/2 can be written as 4 1/2.
  • Brahmagupta’s Method: Fractions need common denominators before addition or subtraction.

CBSE Important Questions Class 6 Maths Chapter 7 Structure 2026

Concept Rule Example
Fractional Units Divide one whole into equal parts 1/4
Equivalent Fractions Same value with different numerators and denominators 1/2 = 2/4
Fraction Operations Use common denominators 1/4 + 1/3 = 7/12

CBSE Important Questions Class 6 Maths Chapter 7 Overview

CBSE Important Questions Class 6 Maths Chapter 7 focus on fractions as equal shares. Students learn to read, compare, simplify, add, and subtract fractions.

Q1. What are fractions in Class 6 Maths?

Fractions show equal parts of a whole or equal shares of a quantity. A fraction has a numerator and a denominator.

Example: 3/4 means 3 parts out of 4 equal parts.

Q2. Why are fractions used for equal sharing?

Fractions show how much each person gets when something is shared equally. The same whole gives a smaller share when more people share it.

Example: 1 roti shared by 2 children gives 1/2 each.

Class 6 Maths Chapter 7 Fractions Important Questions on Fractional Units

Fractional units Class 6 questions test the idea of one equal part. Students must compare shares, not only denominator size.

Q3. What is a fractional unit?

A fractional unit is one equal part of a whole. It is also called a unit fraction.

Examples: 1/2, 1/3, 1/4, 1/5, and 1/10 are fractional units.

Q4. Which is greater, 1/5 or 1/9?

1/5 is greater than 1/9. If one whole is shared among fewer people, each person gets a bigger share.

Final answer: 1/5 > 1/9

Q5. Three guavas weigh 1 kg together. What does each guava weigh?

Each guava weighs 1/3 kg. The total weight is shared equally among 3 guavas.

Steps:

  1. Total weight = 1 kg
  2. Number of guavas = 3
  3. Each guava = 1 ÷ 3 = 1/3 kg

Final answer: 1/3 kg

Q6. One kg of rice is packed into 4 equal packets. What is each packet’s weight?

Each packet weighs 1/4 kg. One whole kg is divided into 4 equal parts.

Steps:

  1. Total rice = 1 kg
  2. Number of packets = 4
  3. Each packet = 1 ÷ 4 = 1/4 kg

Final answer: 1/4 kg

Q7. Four friends share 3 glasses of sugarcane juice. What does each friend get?

Each friend gets 3/4 glass of sugarcane juice. Three glasses are shared equally among 4 friends.

Steps:

  1. Total juice = 3 glasses
  2. Number of friends = 4
  3. Each friend gets = 3 ÷ 4 = 3/4 glass

Final answer: 3/4 glass

Q8. What is the total weight of 1/2 kg fish and 1/4 kg fish?

The total weight is 3/4 kg. Add the two fractions after using a common denominator.

Steps:

  1. 1/2 = 2/4
  2. 2/4 + 1/4 = 3/4
  3. Total weight = 3/4 kg

Final answer: 3/4 kg

Fractions Class 6 Questions on Parts of a Whole

Fractions Class 6 questions often use chikki, rotis, or strips. Equal parts can have different shapes but the same area.

Q9. Why can 1/6 chikki pieces have different shapes but equal size?

1/6 pieces can have different shapes but equal size when the whole is divided equally. Fraction size depends on equal share, not shape.

Example: A chikki can be cut into 6 equal pieces in different ways.

Q10. If a whole chikki is broken into 3 equal pieces, what is each piece?

Each piece is 1/3 of the whole chikki. The denominator shows the number of equal parts.

Final answer: 1/3 chikki

Q11. What does 3/4 of a chikki mean?

3/4 means 3 pieces of size 1/4 each. The denominator shows the fractional unit.

Example: 3/4 = 1/4 + 1/4 + 1/4.

Class 6 Maths Fractions Questions on Number Line

Fractions on number line questions check equal partitioning. Students must divide each unit length into equal parts.

Q12. How do you mark 1/2 on a number line?

Mark 1/2 halfway between 0 and 1. The distance from 0 to 1 is divided into 2 equal parts.

Final answer: 1/2 lies at the first equal part between 0 and 1

Q13. How do you mark 3/10 on a number line?

Mark 3/10 after dividing 0 to 1 into 10 equal parts. Count 3 parts from 0.

Steps:

  1. Divide 0 to 1 into 10 equal parts.
  2. Start counting from 0.
  3. Mark the third part.

Final answer: 3/10

Q14. How many fractions lie between 0 and 1?

Infinitely many fractions lie between 0 and 1. Fractions can keep getting smaller between any two points.

Example: 1/2, 1/3, 1/4, 3/5, and 7/10 lie between 0 and 1.

Q15. What fraction represents a length of 3 half-units?

A length of 3 half-units is 3/2. It is greater than 1.

Steps:

  1. One half-unit = 1/2
  2. Three half-units = 1/2 + 1/2 + 1/2
  3. Total = 3/2

Final answer: 3/2

Mixed Fractions Class 6 Important Questions

Mixed fractions Class 6 questions ask students to split a fraction greater than 1. A mixed fraction has a whole part and a fractional part.

Q16. What is a mixed fraction?

A mixed fraction has a whole number and a proper fraction. It represents a value greater than 1.

Example: 2 2/3 has whole part 2 and fractional part 2/3.

Q17. Convert 9/2 into a mixed fraction.

9/2 = 4 1/2. Divide the numerator by the denominator.

Steps:

  1. Divide 9 by 2.
  2. 9 ÷ 2 = 4 remainder 1.
  3. Write quotient as whole part and remainder as numerator.

Final answer: 4 1/2

Q18. Convert 9/5 into a mixed fraction.

9/5 = 1 4/5. Divide 9 by 5.

Steps:

  1. 9 ÷ 5 = 1 remainder 4.
  2. Whole part = 1
  3. Fractional part = 4/5

Final answer: 1 4/5

Q19. Convert 47/9 into a mixed fraction.

47/9 = 5 2/9. Divide 47 by 9.

Steps:

  1. 47 ÷ 9 = 5 remainder 2.
  2. Whole part = 5
  3. Fractional part = 2/9

Final answer: 5 2/9

Q20. Convert 3 1/4 into a fraction.

3 1/4 = 13/4. Convert each whole into fourths.

Steps:

  1. 3 wholes = 12/4
  2. Add 1/4
  3. 12/4 + 1/4 = 13/4

Final answer: 13/4

Q21. Convert 7 2/3 into a fraction.

7 2/3 = 23/3. Convert each whole into thirds.

Steps:

  1. 7 wholes = 21/3
  2. Add 2/3
  3. 21/3 + 2/3 = 23/3

Final answer: 23/3

Equivalent Fractions Class 6 Important Questions

Equivalent fractions Class 6 questions test equal value. Students can use fraction walls, sharing, or multiplication.

Q22. What are equivalent fractions?

Equivalent fractions represent the same value or share. They have different numerators and denominators.

Example: 1/2 = 2/4 = 3/6.

Q23. Are 2/3 and 4/6 equivalent fractions?

Yes, 2/3 and 4/6 are equivalent fractions. Both represent the same length or share.

Steps:

  1. Multiply 2/3 by 2/2.
  2. 2/3 = 4/6
  3. Both fractions are equal.

Final answer: Yes, 2/3 = 4/6

Q24. Write two equivalent fractions for 2/6.

Two equivalent fractions for 2/6 are 1/3 and 3/9. Both show the same share.

Steps:

  1. 2/6 = 1/3 after dividing by 2.
  2. 2/6 = 3/9 after multiplying by 3/2 is not valid.
  3. Use correct equivalent forms: 2/6 = 4/12 and 1/3.

Final answer: 1/3 and 4/12

Q25. Fill in the blanks: 4/6 = __ = __ = __.

4/6 = 2/3 = 6/9 = 8/12. These fractions show the same value.

Steps:

  1. 4/6 reduces to 2/3.
  2. 2/3 multiplied by 3/3 gives 6/9.
  3. 2/3 multiplied by 4/4 gives 8/12.

Final answer: 4/6 = 2/3 = 6/9 = 8/12

Q26. Express 36/60 in lowest terms.

36/60 = 3/5 in lowest terms. Divide numerator and denominator by their highest common factor.

Steps:

  1. HCF of 36 and 60 = 12
  2. 36 ÷ 12 = 3
  3. 60 ÷ 12 = 5

Final answer: 3/5

Q27. Express 16/20 in lowest terms.

16/20 = 4/5 in lowest terms. Divide numerator and denominator by 4.

Steps:

  1. 16 ÷ 4 = 4
  2. 20 ÷ 4 = 5
  3. 16/20 = 4/5

Final answer: 4/5

Q28. Express 64/144 in lowest terms.

64/144 = 4/9 in lowest terms. Divide numerator and denominator by 16.

Steps:

  1. 64 ÷ 16 = 4
  2. 144 ÷ 16 = 9
  3. 64/144 = 4/9

Final answer: 4/9

Comparing Fractions Class 6 Important Questions

Comparing fractions Class 6 questions need common denominators. After that, students compare only numerators.

Q29. Compare 4/5 and 7/9.

4/5 is greater than 7/9. Use 45 as the common denominator.

Steps:

  1. 4/5 = 36/45
  2. 7/9 = 35/45
  3. 36/45 > 35/45

Final answer: 4/5 > 7/9

Q30. Compare 8/3 and 5/2.

8/3 is greater than 5/2. Use 6 as the common denominator.

Steps:

  1. 8/3 = 16/6
  2. 5/2 = 15/6
  3. 16/6 > 15/6

Final answer: 8/3 > 5/2

Q31. Compare 7/10 and 9/14.

7/10 is greater than 9/14. Use 70 as the common denominator.

Steps:

  1. 7/10 = 49/70
  2. 9/14 = 45/70
  3. 49/70 > 45/70

Final answer: 7/10 > 9/14

Q32. Arrange 7/10, 11/15, and 2/5 in ascending order.

The ascending order is 2/5, 7/10, 11/15. Use 30 as the common denominator.

Steps:

  1. 7/10 = 21/30
  2. 11/15 = 22/30
  3. 2/5 = 12/30

Final answer: 2/5 < 7/10 < 11/15

Q33. Arrange 19/24, 5/6, and 7/12 in ascending order.

The ascending order is 7/12, 19/24, 5/6. Use 24 as the common denominator.

Steps:

  1. 19/24 stays 19/24
  2. 5/6 = 20/24
  3. 7/12 = 14/24

Final answer: 7/12 < 19/24 < 5/6

Addition and Subtraction of Fractions Class 6 Questions

Addition and subtraction of fractions Class 6 questions use Brahmagupta’s method. Convert fractions into common denominators first.

Q34. What is Brahmagupta’s method for adding fractions?

Brahmagupta’s method adds fractions after converting them to common denominators. Then add the numerators.

Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12.

Q35. Add 2/7, 5/7, and 6/7.

2/7 + 5/7 + 6/7 = 13/7. The denominators are already the same.

Steps:

  1. Add numerators: 2 + 5 + 6 = 13
  2. Keep denominator 7.
  3. Sum = 13/7

Final answer: 13/7

Q36. Add 3/4 and 1/3.

3/4 + 1/3 = 13/12. Use 12 as the common denominator.

Steps:

  1. 3/4 = 9/12
  2. 1/3 = 4/12
  3. 9/12 + 4/12 = 13/12

Final answer: 13/12

Q37. Add 2/3 and 5/6.

2/3 + 5/6 = 3/2. Use 6 as the common denominator.

Steps:

  1. 2/3 = 4/6
  2. 4/6 + 5/6 = 9/6
  3. 9/6 = 3/2

Final answer: 3/2

Q38. Add 3/5 and 5/8.

3/5 + 5/8 = 49/40. Use 40 as the common denominator.

Steps:

  1. 3/5 = 24/40
  2. 5/8 = 25/40
  3. 24/40 + 25/40 = 49/40

Final answer: 49/40

Q39. Rahim mixes 2/3 litres of yellow paint and 3/4 litres of blue paint. What is the total paint?

Rahim makes 1 5/12 litres of green paint. Add the two fractions using denominator 12.

Steps:

  1. 2/3 = 8/12
  2. 3/4 = 9/12
  3. 8/12 + 9/12 = 17/12 = 1 5/12

Final answer: 1 5/12 litres

Q40. Subtract 3/8 from 5/8.

5/8 - 3/8 = 1/4. The denominators are already the same.

Steps:

  1. Subtract numerators: 5 - 3 = 2
  2. Keep denominator 8.
  3. 2/8 = 1/4

Final answer: 1/4

Q41. Subtract 4/15 from 2/5.

2/5 - 4/15 = 2/15. Use 15 as the common denominator.

Steps:

  1. 2/5 = 6/15
  2. 6/15 - 4/15 = 2/15
  3. Result is already in lowest terms.

Final answer: 2/15

Q42. Subtract 1/2 from 2/3.

2/3 - 1/2 = 1/6. Use 6 as the common denominator.

Steps:

  1. 2/3 = 4/6
  2. 1/2 = 3/6
  3. 4/6 - 3/6 = 1/6

Final answer: 1/6

Q43. Jaya’s school is 7/10 km away. She travels 1/2 km by auto. How far does she walk?

Jaya walks 1/5 km daily. Subtract the auto distance from the total distance.

Steps:

  1. Total distance = 7/10 km
  2. Auto distance = 1/2 = 5/10 km
  3. Walking distance = 7/10 - 5/10 = 2/10 = 1/5 km

Final answer: 1/5 km

Q44. Geeta bought 2/5 m lace and Shamim bought 3/4 m lace. Is it enough for a 1 m border?

Yes, the lace is enough because they bought 1 3/20 m together. This is more than 1 m.

Steps:

  1. 2/5 = 8/20
  2. 3/4 = 15/20
  3. 8/20 + 15/20 = 23/20 = 1 3/20

Final answer: Yes, 1 3/20 m is enough

NCERT Class 6 Maths Chapter 7 Questions and Answers on History

NCERT Class 6 Maths Chapter 7 includes the Indian history of fractions. It connects today’s fraction notation with ancient Indian mathematics.

Q45. What was a fraction called in ancient India?

A fraction was called bhinna in Sanskrit. It means broken.

The words bhaga and ansha also meant part or piece.

Q46. Who described the method for adding and subtracting fractions?

Brahmagupta described the method for adding and subtracting fractions. He explained common denominators in 628 CE.

His method matches the process used in schools today.

Q47. What is the Egyptian fraction idea?

Egyptian fractions express numbers as sums of unit fractions. These fractions usually have 1 as the numerator.

Example: 19/24 = 1/2 + 1/6 + 1/8.

Most Repeated Class 6 Maths Chapter 7 Important Questions

Class 6 Maths Chapter 7 Important Questions usually focus on understanding, not memorisation. Equal sharing, equivalent forms, and operations appear often.

Q48. Which questions are most repeated from Fractions?

Fraction comparison, equivalent fractions, and addition-subtraction questions are most repeated. These topics test the core skills of the chapter.

Repeated patterns:

  • Compare two fractions.
  • Convert to lowest terms.
  • Write mixed fractions.
  • Add unlike fractions.
  • Solve equal sharing problems.

Q49. What mistake should students avoid in unit fractions?

Students should not say 1/9 is greater than 1/5 because 9 is bigger. A bigger denominator gives a smaller share.

Correct comparison: 1/5 > 1/9

Q50. What is the simplest way to compare two fractions?

The simplest way is to convert both fractions to a common denominator. Then compare the numerators.

Example: 4/5 = 36/45 and 7/9 = 35/45, so 4/5 > 7/9.

Important Questions Class 6 Maths

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CBSE Important Questions Class 6 CBSE Important Questions Class 6
CBSE Class 6 Maths Revision Notes CBSE Class 6 Maths Revision Notes
CBSE Class 6 Maths Syllabus CBSE Class 6 Maths Syllabus
CBSE Class 6 Syllabus CBSE Class 6 Syllabus
CBSE Sample Papers for Class 6 Maths CBSE Sample Papers for Class 6 Maths
CBSE Sample Papers for Class 6 CBSE Sample Papers for Class 6

Q.1 In the following figures, the figure that is representing the fraction 3/5 of the shaded region to the unshaded region is

(i)

(ii)

(iii)

(i) and (iii) both

Marks:1

Ans

(i)

In figure (i) 3-parts are shaded and 5-parts are unshaded.
So, figure (i) is the correct figure.

Q.2 Which of the following fractions is written in the simplest form


Marks:1

Ans

Q.3 Which of the following fractions is the greatest

A.

B.

C.

D.

Marks:1

Ans

Q.4 Arrange the following in descending order.

i46,58,712,516ii817,89,85,813

Marks:4

Ans

i46,58,712,516LCM of 6, 8, 12 and 16 26, 8, 12, 1623, 4, 6, 823, 2, 3, 423, 1, 3, 233, 1, 3, 1 1, 1, 1, 1 LCM of 6, 8, 12 and 16 =2—2—2—2—3 = 48So,46,712,58,516=4—86—8,7—412—4,5—68—6,5—316—3 =3248,2848,3048,1548Descending order is:3248,3048,2848,1548=46,58,712,516

ii 817,89,85,813Since, two fractions with same numerators are compared, the fraction with the greater denominator will be the er fraction.So, the ascending order of denominators is5<9< 13< 17Thus, descending order of fractions is 85>89>813>817

Q.5 Find the equivalent fraction of

59

with denominator 63.

Marks:1

Ans

59=5—79—7=3563

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CBSE Important Questions for Class 6 Maths

Chapter 1 - Knowing Our Numbers

Chapter 2 - Whole Numbers

Chapter 3 - Playing with Numbers

Chapter 4 - Basic Geometrical Ideas

Chapter 5 - Understanding Elementary Shapes

Chapter 6 - Integers

Chapter 8 - Decimals

Chapter 9 - Data Handling

Chapter 10 - Mensuration

Chapter 11 - Algebra

Chapter 12 - Ratio and Proportion

Chapter 13 - Symmetry

Chapter 14 - Practical Geometry

FAQs (Frequently Asked Questions)

CBSE Important Questions Class 6 Maths Chapter 7 focus on fractions. The chapter explains equal shares, fractional units, mixed fractions, equivalent fractions, and operations.

Fractional units are single equal parts of a whole. Examples include 1/2, 1/3, 1/4, and 1/10.

A fraction can be less than, equal to, or greater than 1. A mixed fraction has a whole part and a fractional part, such as 2 1/3.

Equivalent fractions help compare, add, and subtract fractions. For example, 1/2 = 2/4 = 3/6.

Brahmagupta’s method uses common denominators for fraction addition and subtraction. Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12.