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Q1. Which of the following fractions is equivalent to 2/3?
a) 4/9
b) 6/9
c) 4/6
d) Both b and c
Q2. What is the simplest form of 18/24?
a) 9/12
b) 3/4
c) 6/8
d) 2/3
Q3. Which fraction is greater, 3/5 or 4/7?
a) 3/5
b) 4/7
c) Both are equal
d) Cannot be determined
Q4. What type of fraction is 9/4?
a) Proper fraction
b) Like fraction
c) Improper fraction
d) Equivalent fraction
Q5. The mixed number 3 and 2/5 expressed as an improper fraction is:
a) 15/5
b) 17/5
c) 13/5
d) 16/5
Q6. A fraction where the numerator is less than the denominator is called a ________.
Q7. The fraction 5/8 and 3/8 are called ________ fractions because they have the same denominator.
Q8. To compare two fractions with different denominators, we first find their ________.
Q9. The simplest form of 36/48 is ________.
Q10. If a pizza is divided into 8 equal parts and Riya eats 3 parts, the fraction of pizza eaten by Riya is ________.
Q11. Arrange the following fractions in ascending order: 1/2, 3/8, 5/6, 2/3.
Q12. Find two equivalent fractions for 3/7.
Q13. Ramesh had a ribbon of length 5/6 metre. He used 1/3 metre of it. What fraction of ribbon is left?
Q14. Write the fraction 47/6 as a mixed number.
Q15. Shade the following statement as true or false and give reason: Every proper fraction is less than 1.
Q1. Answer: d) Both b and c
Explanation: 6/9 simplifies to 2/3 and 4/6 also simplifies to 2/3, so both are equivalent to 2/3.
Q2. Answer: b) 3/4
Explanation: HCF of 18 and 24 is 6. Dividing both by 6 gives 18/6 = 3 and 24/6 = 4, so the answer is 3/4.
Q3. Answer: a) 3/5
Explanation: Converting to same denominator, 3/5 = 21/35 and 4/7 = 20/35. Since 21/35 is greater, 3/5 is greater.
Q4. Answer: c) Improper fraction
Explanation: In 9/4, the numerator 9 is greater than the denominator 4, so it is an improper fraction.
Q5. Answer: b) 17/5
Explanation: Multiply whole number 3 by denominator 5, getting 15, then add numerator 2 to get 17. So the answer is 17/5.
Q6. Answer: proper fraction
Q7. Answer: like
Q8. Answer: LCM (Least Common Multiple)
Q9. Answer: 3/4
Explanation: HCF of 36 and 48 is 12. Dividing both by 12 gives 36/12 = 3 and 48/12 = 4.
Q10. Answer: 3/8
Q11. Answer: LCM of 2, 8, 6, 3 is 24.
Converting: 1/2 = 12/24, 3/8 = 9/24, 5/6 = 20/24, 2/3 = 16/24.
Ascending order: 3/8, 1/2, 2/3, 5/6.
Q12. Answer: Multiplying numerator and denominator of 3/7 by 2 gives 6/14. Multiplying by 3 gives 9/21. So two equivalent fractions are 6/14 and 9/21.
Q13. Answer: Length used = 1/3 metre.
Converting to same denominator: 5/6 minus 1/3 = 5/6 minus 2/6 = 3/6 = 1/2 metre.
Fraction of ribbon left is 1/2 metre.
Q14. Answer: Dividing 47 by 6, we get quotient 7 and remainder 5.
So 47/6 = 7 and 5/6 as a mixed number.
Q15. Answer: True.
In a proper fraction, the numerator is always less than the denominator. This means the fraction represents a value less than one whole. For example, 3/5 means only 3 parts out of 5 equal parts, which is always less than 1.
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