Fractions MCQs Test
Fractions MCQs Test (Class 5–7 Level)
Section A: Basic Understanding
Q1. Which is a proper fraction ? āĻĒā§ā§°āĻļā§āύ:āĻā§āύāĻā§ āĻļā§āĻĻā§āϧ āĻāĻā§āύāĻžāĻāĻļ ?
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 (āĻāĻĒā§°ā§° āϏāĻāĻā§āϝāĻž) denominator (āϤāϞ⧰ āϏāĻāĻā§āϝāĻž)-āϤāĻā§ āϏ⧰⧠āĻšā§āĨ¤)
Q2. Which is an improper fraction ? āĻĒā§ā§°āĻļā§āύ:āĻā§āύāĻā§ āĻ āĻļā§āĻĻā§āϧ āĻāĻā§āύāĻžāĻāĻļ?
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 āĻļā§āĻĻā§āϧ āĻāĻā§āύāĻžāĻāĻļ āĻšā§āĻā§ āϏā§āĻ āĻāĻā§āύāĻžāĻāĻļ āϝ’āϤ āĻāĻĒā§°ā§° āϏāĻāĻā§āϝāĻž (numerator) āϤāϞ⧰ āϏāĻāĻā§āϝāĻž (denominator)-āϤāĻā§ āĻĄāĻžāĻā§° āĻŦāĻž āϏāĻŽāĻžāύ āĻšā§āĨ¤
Q3. Which is a mixed number ? āĻĒā§ā§°āĻļā§āύ: āĻā§āύāĻā§ āĻŽāĻŋāĻļā§ā§° āϏāĻāĻā§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§° āϏāĻāĻā§āϝāĻž āĻšā§āĻā§ āĻāύ⧠āĻāĻāĻž āϏāĻāĻā§āϝāĻž āϝ’āϤ āĻāĻāĻž āĻĒā§āϰā§āĻŖ āϏāĻāĻā§āϝāĻž āĻā§°ā§ āĻāĻāĻž āĻļā§āĻĻā§āϧ āĻāĻā§āύāĻžāĻāĻļ āĻāĻā§āϞāĻā§ āĻĨāĻžāĻā§āĨ¤
Q4. What is the numerator in 6/11 ? āĻĒā§ā§°āĻļā§āύ: 6/11-āϤ numerator āĻā§āύāĻā§ ?
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§āĻā§ āĻāĻā§āύāĻžāĻāĻļā§° āĻāĻĒā§°ā§° āϏāĻāĻā§āϝāĻžāĨ¤ āĻ āĻĻā§āĻā§ā§ąāĻžā§ āĻāĻŋāĻŽāĻžāύ āĻ āĻāĻļ āϞā§ā§ąāĻž āĻšā§āĻā§āĨ¤
Section B: Equivalent & Comparison
Q5. Which fraction is equivalent to 1/2 ? āĻĒā§ā§°āĻļā§āύ: 1/2-ā§° āϏāĻŽāĻŽāĻžāύ āĻāĻā§āύāĻžāĻāĻļ āĻā§āύāĻā§ ?
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 āĻāĻā§āύāĻžāĻāĻļā§° āĻŽāĻžāύ āĻāĻā§ āĻšā§āĨ¤ 3/6-āϤ āĻāĻĒā§°ā§° āĻā§°ā§ āϤāϞ⧰ āϏāĻāĻā§āϝāĻžāĻ 3ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋāϞ⧠→ 1/2 āĻšā§
Q6. Which is greater ? āĻĒā§ā§°āĻļā§āύ: āĻā§āύāĻā§ āĻĄāĻžāĻā§° ?
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§ā§āĻāĻžā§°ā§ denominator āĻāĻā§ (5)āĨ¤ āϏā§ā§ā§ numerator āϤā§āϞāύāĻž āĻā§°ā§āĻ: 4 > 3 ⇒ 4/5 āĻĄāĻžāĻā§°āĨ¤)
Q7. Which pair are like fractions ? āĻĒā§ā§°āĻļā§āύ: āĻā§āύāĻŦā§ā§° āϏāĻĻā§āĻļ āĻāĻā§āύāĻžāĻāĻļ ?
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. (āϏāĻĻā§āĻļ āĻāĻā§āύāĻžāĻāĻļāϤ denominator āĻāĻā§ āĻšā§āĨ¤ Option A-āϤ āĻĻā§ā§ā§āĻāĻžā§°ā§ denominator 4)
Q8. Which is the smallest fraction ? āĻĒā§ā§°āĻļā§āύ: āĻāĻāĻžāĻāϤāĻā§ āϏ⧰⧠āĻāĻā§āύāĻžāĻāĻļ āĻā§āύāĻā§ ?
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
Explanation: 1/2 = 2/4 → 2/4 + 1/4 = 3/4 (LCM āϞ⧠āϝā§āĻ āĻā§°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 (āĻā§āĻŖ āĻā§°āĻŋ simplify āĻā§°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 (āĻāϞā§āĻāĻž āĻā§°āĻŋ āĻā§āĻŖ āĻā§°āĻž)
Tip : Fractions = LCM + Simplify + Compare numerator
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Hard Fractions MCQs : āĻāĻ āĻŋāύ āĻāĻā§āύāĻžāĻāĻļ MCQs
Section A: Concept Based
1. Which is the greatest fraction ? āĻĒā§ā§°āĻļā§āύ: āĻāĻāĻžāĻāϤāĻā§ āĻĄāĻžāĻā§° āĻāĻā§āύāĻžāĻāĻļ āĻā§āύāĻā§ ?
A) 7/8 B) 5/6 C) 9/10 D) 11/12
Ans: D) 11/12
Explaination: Convert or compare values: 7/8 = 0.875, 5/6 ≈ 0.833, 9/10 = 0.9, 11/12 ≈ 0.917 (largest) āĻŽāĻžāύ āϤā§āϞāύāĻž āĻā§°āĻŋāϞā§: 11/12 āĻāĻāĻžāĻāϤāĻā§ āĻĄāĻžāĻā§°
Q2. Which is the smallest fraction ? āĻĒā§ā§°āĻļā§āύ: āĻāĻāĻžāĻāϤāĻā§ āϏ⧰⧠āĻāĻā§āύāĻžāĻāĻļ āĻā§āύāĻā§ ?
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 āϤā§āϞāύāĻž āĻā§°āĻŋāϞ⧠7/18 āĻāĻāĻžāĻāϤāĻā§ āϏ⧰ā§)
Q3. Which pair are equivalent fractions ? āĻĒā§ā§°āĻļā§āύ: āĻā§āύāĻŦā§ā§° āϏāĻŽāĻŽāĻžāύ āĻāĻā§āύāĻžāĻāĻļ ?
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 āĻāĻā§āύāĻžāĻāĻļā§° āĻŽāĻžāύ āĻāĻā§ āĻšā§āĨ¤ 2/3-āϤ āĻāĻĒā§°ā§° āĻā§°ā§ āϤāϞ⧰ āϏāĻāĻā§āϝāĻžāĻ 2ā§°ā§ āĻā§āĻŖ āĻā§°āĻŋāϞ⧠→ 4/6 āĻšā§
Section B : Tricky Comparison
Q4. Which is greater ? āĻĒā§ā§°āĻļā§āύ: āĻā§āύāĻā§ āĻĄāĻžāĻā§° ?
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⧰ā§ā§° āĻĒā§°āĻž āĻĄāĻžāĻā§°āϞ⧠āϏāĻžāĻāĻžāĻāĻ
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
Explaination: Convert 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
Explaination: Convert 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