Class 6 Maths Chapter 7 Fractions Extra Questions

Extra practice questions for Class 6 Maths Chapter 7, “Fractions”, to build confidence with fractional units, equivalence, comparison, and addition/subtraction beyond the textbook’s own exercises. These Class 6 Mathematics Chapter 7 important questions are handy for last-minute exam practice.

Very Short Answer Questions

Q1. What is a unit fraction?
Answer: A fraction with numerator 1, such as 1/2, 1/3, or 1/9.

Q2. What is the difference between a proper and an improper fraction?
Answer: A proper fraction has numerator less than denominator (value < 1); an improper fraction has numerator greater than or equal to denominator (value ≥ 1).

Q3. Convert 23/5 into a mixed fraction.
Answer: 23/5 = 4 3/5.

Q4. Write two fractions equivalent to 3/5.
Answer: 6/10 and 9/15 (any correct multiples are acceptable).

Q5. Simplify 18/24 to its lowest terms.
Answer: HCF(18,24)=6, so 3/4.

Short Answer Questions

Q6. Compare 5/6 and 7/9 and state which is greater.
Answer: LCM=18: 15/18 vs 14/18, so 5/6 > 7/9.

Q7. Add: 3/8 + 5/12.
Answer: LCM=24: 9/24 + 10/24 = 19/24.

Q8. Subtract: 7/9 − 5/12.
Answer: LCM=36: 28/36 − 15/36 = 13/36.

Q9. Convert 6 2/7 into an improper fraction.
Answer: (6 × 7 + 2)/7 = 44/7.

Q10. Arrange in descending order: 3/4, 5/8, 7/12.
Answer: LCM=24: 18/24, 15/24, 14/24, so 3/4 > 5/8 > 7/12.

Long Answer / Word Problems

Q11. A tank is 3/5 full of water. If 1/4 more of the tank’s capacity is filled, what fraction of the tank is now full? Is the tank overflowing?
Answer: 3/5 + 1/4 = 12/20 + 5/20 = 17/20. Since 17/20 < 1 (i.e., 20/20), the tank is 17/20 full and not overflowing — there is 3/20 of the tank still empty.

Q12. A recipe needs 2⅓ cups of flour, but you only have 1¾ cups. How much more flour do you need?
Answer: 2⅓ = 7/3, 1¾ = 7/4. LCM=12: 28/12 − 21/12 = 7/12. You need 7/12 cup more flour.

Q13. Three pieces of ribbon measure 2/3 m, 5/6 m, and 1/2 m. Find the total length of ribbon, expressed as a mixed fraction.
Answer: LCM=6: 4/6 + 5/6 + 3/6 = 12/6 = 2 m.

Q14. Explain, with an example, why 2/4 and 3/6 are equivalent fractions even though their numerators and denominators are different.
Answer: Equivalent fractions represent the same value/share of a whole even though written differently — 2/4 simplifies to 1/2 (dividing both by 2), and 3/6 also simplifies to 1/2 (dividing both by 3). Since both reduce to the same simplest form, they represent an identical amount, just described using a different number of equal parts.

Q15. A cake is cut into 8 equal pieces. Priya eats 3/8 of the cake and Rahul eats 1/4 of the cake. What fraction of the cake is left?
Answer: Rahul’s share = 1/4 = 2/8. Total eaten = 3/8 + 2/8 = 5/8. Remaining = 1 − 5/8 = 3/8 of the cake.

Practice more:

• Extra Questions for Class 6 Maths Chapter 1: Patterns in Mathematics
• Class 6 Maths Chapter 2 Lines and Angles Extra Questions
• Class 6 Maths Chapter 3 Number Play Extra Questions
• Class 6 Maths Chapter 4 Data Handling and Presentation Extra Questions
• Class 6 Maths Chapter 5 Prime Time Extra Questions
• Class 6 Maths Chapter 6 Perimeter and Area Extra Questions

Written by Satish

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