Class 6 Maths Chapter 7 Fractions Extra Questions

Unit fractions, equivalence, and converting between proper, improper, and mixed forms are the focus of this Chapter 7 practice set.

Last Updated: September 23, 2026

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

Frequently Asked Questions

How would you convert the improper fraction eleven-fourths into a mixed number?
Dividing 11 by 4 gives a quotient of 2 with a remainder of 3, so the improper fraction eleven-fourths is written as the mixed number 2 and three-fourths.

Why do you need to find equivalent fractions with the same denominator before comparing which of two fractions is larger?
Fractions with different denominators represent parts of wholes divided into different numbers of pieces, so converting them to a common denominator ensures a fair and accurate comparison.

Written by Satish

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