Fractions — Previous Year Questions (Class 6 Mathematics)
Learn fractions, equivalent fractions, and comparing fractions. Build skills for ratio and proportion.
TL;DR: Learn fractions, equivalent fractions, and comparing fractions. Build skills for ratio and proportion.
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Learn fractions, equivalent fractions, and comparing fractions. Build skills for ratio and proportion.
Fractions — Previous Year Questions with Solutions
Q (2023, 2 marks): Write three equivalent fractions for 2/5.
Answer: Equivalent fractions are obtained by multiplying numerator and denominator by the same number.
2/5 = (2×2)/(5×2) = 4/10
2/5 = (2×3)/(5×3) = 6/15
2/5 = (2×4)/(5×4) = 8/20
Three equivalent fractions: 4/10, 6/15, 8/20
Q (2022, 2 marks): Compare: 3/7 and 4/9. Which is greater?
Answer: To compare, find common denominator: LCM(7,9) = 63
3/7 = (3×9)/(7×9) = 27/63
4/9 = (4×7)/(9×7) = 28/63
Since 28/63 > 27/63, therefore 4/9 > 3/7
Q (2023, 2 marks): Express 7/4 as a mixed number.
Answer: 7/4 = 1 + 3/4 = 1 3/4
Working: 7 ÷ 4 = 1 remainder 3, so 7/4 = 1 3/4
Q (2022, 3 marks): Add: 2/5 + 3/10. Simplify your answer.
Answer: 2/5 + 3/10
Common denominator = 10
= (2×2)/10 + 3/10
= 4/10 + 3/10
= 7/10
Q (2023, 3 marks): A cake is divided into 8 equal parts. Meera ate 3 parts and Rahul ate 2 parts. What fraction of the cake is left?
Answer: Total parts: 8
Parts eaten by Meera: 3/8
Parts eaten by Rahul: 2/8
Total eaten: 3/8 + 2/8 = 5/8
Parts left: 1 - 5/8 = 8/8 - 5/8 = 3/8
Q (2022, 3 marks): Simplify: 24/36 by dividing both numerator and denominator by their HCF.
Answer: Find HCF of 24 and 36:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
HCF = 12
24/36 = (24÷12)/(36÷12) = 2/3
Frequently Asked Questions
What is a proper fraction and an improper fraction?
A proper fraction has numerator less than denominator (e.g., 3/5). An improper fraction has numerator greater than or equal to denominator (e.g., 7/4 or 5/5).
How do I find equivalent fractions?
Multiply both the numerator and denominator by the same non-zero number. For example, 2/3 = (2×5)/(3×5) = 10/15. You can also divide both by a common factor to simplify.
More Class 6 Mathematics PYQs
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