Fractions MCQs Test


Fractions MCQs Test (Class 5–7 Level)


Section A: Basic Understanding


Q1. Which is a proper fraction ? āĻĒā§ā§°āĻļā§āύ:āϕ⧋āύāĻŸā§‹ āĻļ⧁āĻĻā§āϧ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ ?


A) 7/5 B) 3/4 C) 9/3 D) 5/5


Ans: B) 3/4


Explanation: A proper fraction is one where the numerator is smaller than the denominator. (Proper fraction-āϤ numerator (āωāĻĒā§°ā§° āϏāĻ‚āĻ–ā§āϝāĻž) denominator (āϤāϞ⧰ āϏāĻ‚āĻ–ā§āϝāĻž)-āϤāĻ•ā§ˆ āϏ⧰⧁ āĻšā§ŸāĨ¤)


Q2. Which is an improper fraction ? āĻĒā§ā§°āĻļā§āύ:āϕ⧋āύāĻŸā§‹ āĻ…āĻļ⧁āĻĻā§āϧ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ?


A) 2/7 B) 11/6 C) 3/8 D) 1/5


Ans: B) 11/6


Explanation: An improper fraction is a fraction in which the numerator is greater than or equal to the denominator. āĻ…āĻļ⧁āĻĻā§āϧ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻšā§ˆāϛ⧇ āϏ⧇āχ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϝ’āϤ āωāĻĒā§°ā§° āϏāĻ‚āĻ–ā§āϝāĻž (numerator) āϤāϞ⧰ āϏāĻ‚āĻ–ā§āϝāĻž (denominator)-āϤāĻ•ā§ˆ āĻĄāĻžāϙ⧰ āĻŦāĻž āϏāĻŽāĻžāύ āĻšā§ŸāĨ¤


Q3. Which is a mixed number ? āĻĒā§ā§°āĻļā§āύ: āϕ⧋āύāĻŸā§‹ āĻŽāĻŋāĻļā§ā§° āϏāĻ‚āĻ–ā§āϝāĻž ?


A) 5/2 B) 7/3 C) 2 1/3 D) 9/5


Ans: C) 2 1/3


Explanation: A mixed number is a number made up of a whole number and a proper fraction together. āĻŽāĻŋāĻļā§ā§° āϏāĻ‚āĻ–ā§āϝāĻž āĻšā§ˆāϛ⧇ āĻāύ⧇ āĻāϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āϝ’āϤ āĻāϟāĻž āĻĒā§‚āĻ°ā§āĻŖ āϏāĻ‚āĻ–ā§āϝāĻž āφ⧰⧁ āĻāϟāĻž āĻļ⧁āĻĻā§āϧ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻāϕ⧇āϞāϗ⧇ āĻĨāĻžāϕ⧇āĨ¤


Q4. What is the numerator in 6/11 ? āĻĒā§ā§°āĻļā§āύ: 6/11-āϤ numerator āϕ⧋āύāĻŸā§‹ ?


A) 6 B) 11 C) 17 D) 5


Ans: A) 6


Explanation:  The numerator is the top number in a fraction. It shows how many parts are taken. Numerator āĻšā§ˆāϛ⧇ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļā§° āĻ“āĻĒā§°ā§° āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤ āχ āĻĻ⧇āĻ–ā§ā§ąāĻžā§Ÿ āĻ•āĻŋāĻŽāĻžāύ āĻ…āĻ‚āĻļ āĻ˛ā§‹ā§ąāĻž āĻšā§ˆāϛ⧇āĨ¤


Section B: Equivalent & Comparison


Q5. Which fraction is equivalent to 1/2 ? āĻĒā§ā§°āĻļā§āύ: 1/2-ā§° āϏāĻŽāĻŽāĻžāύ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϕ⧋āύāĻŸā§‹ ?


A) 2/3 B) 3/6 C) 4/5 D) 5/8


Ans: B) 3/6


Explanation: Equivalent fractions have the same value.


  3/6 = 1/2 (divide both by 3)


āϏāĻŽāĻŽāĻžāύ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļā§° āĻŽāĻžāύ āĻāϕ⧇ āĻšā§ŸāĨ¤ 3/6-āϤ āĻ“āĻĒā§°ā§° āφ⧰⧁ āϤāϞ⧰ āϏāĻ‚āĻ–ā§āϝāĻžāĻ• 3⧰⧇ āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ → 1/2 āĻšā§Ÿ


Q6. Which is greater ? āĻĒā§ā§°āĻļā§āύ: āϕ⧋āύāĻŸā§‹ āĻĄāĻžāϙ⧰ ?


A) 3/5 B) 4/5 C) Equal D) Cannot tell


Ans: B) 4/5


Explanation: Both fractions have the same denominator (5). So, compare numerators: 4 > 3 ⇒ 4/5 is greater. ( āĻĻā§ā§Ÿā§‹āϟāĻžā§°ā§‡ denominator āĻāϕ⧇ (5)āĨ¤ āĻ¸ā§‡ā§Ÿā§‡ numerator āϤ⧁āϞāύāĻž āϕ⧰⧋āρ: 4 > 3 ⇒ 4/5 āĻĄāĻžāϙ⧰āĨ¤)


Q7. Which pair are like fractions ? āĻĒā§ā§°āĻļā§āύ: āϕ⧋āύāĻŦā§‹ā§° āϏāĻĻ⧃āĻļ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ ?


A) 1/4 & 3/4
B) 2/3 & 5/6
C) 3/5 & 2/7
D) 4/9 & 3/8


Ans: A) 1/4 & 3/4


Explanation: Like fractions have the same denominator.In option A, both fractions have denominator 4. (āϏāĻĻ⧃āĻļ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāϤ denominator āĻāϕ⧇ āĻšā§ŸāĨ¤ Option A-āϤ āĻĻā§ā§Ÿā§‹āϟāĻžā§°ā§‡ denominator 4)


Q8. Which is the smallest fraction ? āĻĒā§ā§°āĻļā§āύ: āφāϟāĻžāχāϤāĻ•ā§ˆ āϏ⧰⧁ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϕ⧋āύāĻŸā§‹ ?


A) 1/2 B) 1/4 C) 3/4 D) 2/3


Ans: B) 1/4


Explanation: Compare the values: 1/2 = 0.5,1/4 = 0.25, 3/4 = 0.75, 2/3 ≈ 0.67 , The smallest value is 1/4.


Section C: Operations


Q9. What is 1/2 + 1/4 ?


A) 1/4 B) 3/4 C) 1 D) 1/8


Ans:  B) 3/4


Explanation1/2 = 2/4 → 2/4 + 1/4 = 3/4 (LCM āϞ⧈ āϝ⧋āĻ— āϕ⧰āĻž)


Q10. What is 3/4 – 1/4 ?


A) 1/4 B) 2/4 C) 3/4 D) 1


Ans: B) 2/4 (=1/2)


Explanation: Same denominator → subtract


Q11. What is 2 × 1/4 ?


A) 1/2 B) 1/4 C) 2/4 D) 1


Ans: A) 1/2


Explanation: 2 × 1/4 = 2/4 = 1/2 (āϗ⧁āĻŖ āϕ⧰āĻŋ simplify āϕ⧰āĻž)


Q12. What is 6 ÷ 1/2 ?


A) 3 B) 12 C) 6 D) 1/2


Ans: B) 12


Explanation: Divide by fraction → multiply reciprocal (āωāĻ˛ā§āϟāĻž āϕ⧰āĻŋ āϗ⧁āĻŖ āϕ⧰āĻž)


Tip : Fractions = LCM + Simplify + Compare numerator


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Hard Fractions MCQs : āĻ•āĻ āĻŋāύ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ MCQs


Section A: Concept Based


1. Which is the greatest fraction ? āĻĒā§ā§°āĻļā§āύ: āφāϟāĻžāχāϤāĻ•ā§ˆ āĻĄāĻžāϙ⧰ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϕ⧋āύāĻŸā§‹ ?


A) 7/8 B) 5/6 C) 9/10 D) 11/12


Ans: D) 11/12


 ExplainationConvert or compare values: 7/8 = 0.875, 5/6 ≈ 0.833, 9/10 = 0.9, 11/12 ≈ 0.917 (largest) āĻŽāĻžāύ āϤ⧁āϞāύāĻž āϕ⧰āĻŋāϞ⧇: 11/12 āφāϟāĻžāχāϤāĻ•ā§ˆ āĻĄāĻžāϙ⧰


Q2. Which is the smallest fraction ? āĻĒā§ā§°āĻļā§āύ: āφāϟāĻžāχāϤāĻ•ā§ˆ āϏ⧰⧁ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϕ⧋āύāĻŸā§‹ ?


A) 5/12 B) 7/18 C) 9/20 D) 11/24


Ans: B) 7/18


 Explaination: Compare values (approx): 5/12 ≈ 0.417, 7/18 ≈ 0.389 (smallest), 9/20 = 0.45, 11/24 ≈ 0.458  (āĻŽāĻžāύ āϤ⧁āϞāύāĻž āϕ⧰āĻŋāϞ⧇ 7/18 āφāϟāĻžāχāϤāĻ•ā§ˆ āϏ⧰⧁)


Q3. Which pair are equivalent fractions ? āĻĒā§ā§°āĻļā§āύ: āϕ⧋āύāĻŦā§‹ā§° āϏāĻŽāĻŽāĻžāύ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ ?


A) 2/3 & 4/6   B) 3/5 & 6/11  C) 4/7 & 8/15   D) 5/9 & 10/20


Ans: A) 2/3 & 4/6


 Explaination: Equivalent fractions have the same value. 2/3 × 2/2 = 4/6So, both are equal


āϏāĻŽāĻŽāĻžāύ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļā§° āĻŽāĻžāύ āĻāϕ⧇ āĻšā§ŸāĨ¤ 2/3-āϤ āĻ“āĻĒā§°ā§° āφ⧰⧁ āϤāϞ⧰ āϏāĻ‚āĻ–ā§āϝāĻžāĻ• 2⧰⧇ āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ → 4/6 āĻšā§Ÿ


Section B : Tricky Comparison


Q4. Which is greater ? āĻĒā§ā§°āĻļā§āύ: āϕ⧋āύāĻŸā§‹ āĻĄāĻžāϙ⧰ ?


A) 3/7 B) 4/9


Ans: A) 3/7


 Explaination: Cross multiply
Use cross multiplication:
3 × 9 = 27
4 × 7 = 28
28 > 27 ⇒ 4/9 is greater


Correct: B) 4/9


Q5. Arrange in ascending order: āĻĒā§ā§°āĻļā§āύ: āϏ⧰⧁⧰ āĻĒā§°āĻž āĻĄāĻžāϙ⧰āϞ⧈ āϏāĻžāϜāĻžāĻ“āĻ•


1/2, 2/3, 3/4


A) 1/2 < 2/3 < 3/4   B) 3/4 < 2/3 < 1/2
C) 2/3 < 1/2 < 3/4    D) 1/2 < 3/4 < 2/3


Ans: A) 1/2 < 2/3 < 3/4


 ExplainationConvert to decimal: 1/2 = 0.5, 2/3 ≈ 0.67, 3/4 = 0.75
So, 0.5 < 0.67 < 0.75


Q6. Which fraction lies between 1/3 and 1/2 ?


A) 2/5 B) 3/7 C) 4/9 D) All


Ans: D) All


 ExplainationConvert to decimals: 1/3 ≈ 0.333, 1/2 = 0.5


Now check: 2/5 = 0.4 , 3/7 ≈ 0.43 , 4/9 ≈ 0.44


All are between 0.333 and 0.5


Section C : Operations (Hard)


Q7. What is 3/4 + 5/6 ?


A) 19/12 B) 9/10 C) 7/12 D) 8/12


Ans: A) 19/12


Q8. What is 7/8 – 3/4 ?


A) 1/8 B) 2/8 C) 3/8 D) 4/8


Ans: A) 1/8


Q9. What is 5/6 × 3/4 ?


A) 15/24 B) 5/8 C) 15/12 D) 3/8


Ans: B) 5/8


Q10. What is 8 ÷ 2/3 ?


A) 12 B) 16/3 C) 24 D) 6


Ans: A) 12


Section D : Logic Based


Q12. If a/b = 1/2, then which is correct?


A) a = b
B) b = 2a
C) a = 2b
D) a + b = 1


Ans: B) b = 2a


 Explaination: So, b = 2a