Class 9 Mathematics Chapter 7 Fractions MCQ Quiz with Answers & Explanations

Since the 2024–25 rationalized CBSE syllabus, Multiple-Choice Questions have become the backbone of formative and summative assessments in Class 9. Unlike descriptive questions, MCQs test precision, speed, and conceptual depth simultaneously. For Fractions (Chapter 7), MCQs force you to avoid careless errors—such as confusing unlike-fraction addition with like-fraction rules, or misplacing fractions on a number line. The CBSE Board Office explicitly redesigned assessments to reward quick, accurate thinking over lengthy written work. Each MCQ typically bundles one concept (e.g., 'convert 3/4 to decimal') or blends two (e.g., 'compare 5/8 and 0.625'). Mastering MCQs ensures you can identify the correct answer in 45–60 seconds, leaving time for harder questions. Moreover, competitive exams (JEE Main, NEET) are 100% MCQ-based, so early practice builds lifelong test-taking stamina. This quiz mirrors the exact cognitive load and time pressure of real CBSE papers.

**Question 1:** Which pair are like fractions? A) 3/5 and 2/7 B) 4/9 and 7/9 C) 1/3 and 1/4 D) 5/6 and 6/5 **Answer:** B **Reason:** Like fractions have identical denominators; 4/9 and 7/9 both have denominator 9. **Question 2:** Simplify 18/24 to lowest terms. A) 2/3 B) 3/4 C) 9/12 D) 6/8 **Answer:** B **Reason:** GCD(18,24)=6; 18÷6=3, 24÷6=4, so 18/24=3/4. **Question 3:** Which fraction equals 0.5? A) 1/3 B) 2/5 C) 1/2 D) 3/5 **Answer:** C **Reason:** 1÷2=0.5 directly. **Question 4:** Add 2/5 + 1/5. A) 3/10 B) 3/5 C) 2/5 D) 1/5 **Answer:** B **Reason:** Like fractions: add numerators only → (2+1)/5=3/5. **Question 5:** Order from smallest to largest: 1/4, 1/3, 1/2. A) 1/2, 1/3, 1/4 B) 1/4, 1/3, 1/2 C) 1/3, 1/4, 1/2 D) 1/4, 1/2, 1/3 **Answer:** B **Reason:** Same numerator (1): larger denominator → smaller fraction. **Question 6:** Find an equivalent fraction to 2/3. A) 4/6 B) 4/9 C) 3/4 D) 2/6 **Answer:** A **Reason:** Multiply numerator and denominator by 2: (2×2)/(3×2)=4/6. **Question 7:** Subtract 5/7 − 2/7. A) 3/14 B) 3/7 C) 7/7 D) 2/7 **Answer:** B **Reason:** Like fractions: subtract numerators → (5−2)/7=3/7. **Question 8:** Which decimal equals 1/4? A) 0.25 B) 0.40 C) 0.50 D) 0.75 **Answer:** A **Reason:** 1÷4=0.25. **Question 9:** On a number line from 0 to 1, where does 1/2 lie? A) Closer to 0 B) Exactly in the middle C) Closer to 1 D) Beyond 1 **Answer:** B **Reason:** 1/2 divides the interval [0,1] into two equal halves. **Question 10:** Multiply 2/3 × 3. A) 2 B) 6/3 C) 2/9 D) 3/3 **Answer:** A **Reason:** (2/3)×3 = (2×3)/3 = 6/3 = 2.

**Question 11:** Compare 7/10 and 0.68. A) 7/10 > 0.68 B) 7/10 < 0.68 C) 7/10 = 0.68 D) Cannot compare **Answer:** A **Reason:** 7/10 = 0.70, and 0.70 > 0.68. **Question 12:** Add 1/3 + 1/4. A) 2/7 B) 7/12 C) 1/12 D) 5/7 **Answer:** B **Reason:** LCM(3,4)=12; (1×4)/(3×4) + (1×3)/(4×3) = 4/12 + 3/12 = 7/12. **Question 13:** Simplify (5/6 − 1/3). A) 1/2 B) 4/3 C) 1/6 D) 4/6 **Answer:** A **Reason:** LCM(6,3)=6; 5/6 − 2/6 = 3/6 = 1/2. **Question 14:** Multiply 3/4 × 2/5. A) 5/9 B) 6/20 C) 6/9 D) 15/8 **Answer:** B **Reason:** (3×2)/(4×5) = 6/20 (simplifies to 3/10). **Question 15:** Divide 2/3 ÷ 4/5. A) 8/15 B) 10/12 C) 5/6 D) 6/20 **Answer:** C **Reason:** (2/3) ÷ (4/5) = (2/3) × (5/4) = 10/12 = 5/6. **Question 16:** Express 0.375 as a fraction in lowest terms. A) 3/8 B) 375/1000 C) 3/10 D) 15/40 **Answer:** A **Reason:** 0.375 = 375/1000; GCD(375,1000)=125; 375÷125=3, 1000÷125=8. **Question 17:** Which three fractions are in ascending order: 2/5, 1/2, 3/5? A) 1/2, 2/5, 3/5 B) 2/5, 1/2, 3/5 C) 2/5, 3/5, 1/2 D) 3/5, 2/5, 1/2 **Answer:** B **Reason:** Converting to decimals: 2/5=0.4, 1/2=0.5, 3/5=0.6 → 0.4 < 0.5 < 0.6. **Question 18:** Find 1/2 of 3/4. A) 3/8 B) 4/6 C) 1/4 D) 2/3 **Answer:** A **Reason:** (1/2) × (3/4) = 3/8. **Question 19:** Locate 5/8 on a number line marked with 0, 1/2, and 1. A) Between 0 and 1/2 B) Exactly at 1/2 C) Between 1/2 and 1 D) Beyond 1 **Answer:** C **Reason:** 5/8 ≈ 0.625, which is between 0.5 (at 1/2) and 1. **Question 20:** Convert 2 1/4 (mixed number) to an improper fraction. A) 9/4 B) 2/4 C) 8/4 D) 7/4 **Answer:** A **Reason:** (2×4 + 1)/4 = 9/4.

**Question 21:** Statement (A): 2/3 + 1/6 = 3/9. Reason (R): To add fractions with different denominators, find the LCM and add. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is false; R is true D) Both A and R are false **Answer:** C **Reason:** LCM(3,6)=6 → 4/6+1/6=5/6 (not 3/9); R is a correct principle but A is wrong. **Question 22:** Statement (A): 7/9 > 3/4. Reason (R): Fractions with larger denominators are always smaller. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R is false D) Both A and R are false **Answer:** C **Reason:** 7/9≈0.778 > 3/4=0.75 (true); but R is false (7/9 vs 3/5: 7/9 > 3/5 despite larger denominator). **Question 23:** Statement (A): The decimal 0.333... is exactly equal to 1/3. Reason (R): Repeating decimals represent rational fractions. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R is true but does not explain A D) Both A and R are false **Answer:** A **Reason:** 1÷3 yields 0.333... infinitely; repeating decimals are rational (can be written as p/q). **Question 24:** Statement (A): (2/5) ÷ (1/5) = 2. Reason (R): Dividing by a fraction means multiplying by its reciprocal. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is false; R is true D) Both A and R are false **Answer:** A **Reason:** (2/5)×(5/1)=2; R correctly explains the division rule. **Question 25:** Statement (A): 0.6 and 3/5 are equivalent. Reason (R): 3÷5 = 0.6. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R does not fully explain A D) A is false; R is true **Answer:** A **Reason:** Direct division confirms equivalence; R fully justifies A. **Question 26:** Statement (A): The sum 1/8 + 3/8 + 1/4 = 3/4. Reason (R): When adding fractions, always convert to a common denominator first. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is false; R is true D) Both A and R are false **Answer:** A **Reason:** 1/8+3/8=4/8=1/2; 1/2+1/4=2/4+1/4=3/4; R is the correct method. **Question 27:** Statement (A): 5/12 lies between 1/3 and 1/2 on a number line. Reason (R): 1/3 ≈ 0.333 and 1/2 = 0.5; 5/12 ≈ 0.417. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R is false D) Both A and R are false **Answer:** A **Reason:** 0.333 < 0.417 < 0.5 confirms A; R provides the numerical justification. **Question 28:** Statement (A): Multiplying a fraction by 1 (expressed as n/n) does not change its value. Reason (R): 1 is the multiplicative identity. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R does not explain A D) A is false; R is true **Answer:** A **Reason:** Multiplying by 1 preserves value; R is the foundational principle. **Question 29:** Statement (A): 9/15 and 3/5 are equivalent fractions. Reason (R): GCD(9,15) = 3, so 9÷3=3 and 15÷3=5. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is true; R is false D) Both A and R are false **Answer:** A **Reason:** Dividing by GCD proves equivalence; R correctly justifies A. **Question 30:** Statement (A): (3/4 − 1/8) × 2 = 1 1/4. Reason (R): First simplify within parentheses, then multiply. A) Both A and R are true; R explains A B) Both A and R are true; R does not explain A C) A is false; R is true D) Both A and R are false **Answer:** A **Reason:** 6/8−1/8=5/8; (5/8)×2=10/8=1 1/4; R is the order-of-operations rule.

Trap Option 1: **Adding denominators.** Students often add 1/3 + 1/4 as (1+1)/(3+4)=2/7, ignoring the LCM rule. Correct: 4/12+3/12=7/12. *How to spot:* Always verify your denominator matches the LCM of the originals. Trap Option 2: **Forgetting to flip the reciprocal in division.** Computing 2/3÷4/5 as (2×4)/(3×5)=8/15 instead of multiplying by the reciprocal. Correct: (2/3)×(5/4)=5/6. *How to spot:* Recite 'divide by a fraction = multiply by its flip' before every division. Trap Option 3: **Confusing decimal order.** Believing 0.25 > 0.5 because 25 > 5. Remember: decimal comparison reads left to right; 0.2... is always less than 0.5.... *How to spot:* Line up decimals and compare digit by digit. Trap Option 4: **Simplifying incompletely.** Accepting 6/20 instead of reducing to 3/10. Always factor out the GCD. *How to spot:* Check if numerator and denominator share a common factor >1. Trap Option 5: **Misplacing fractions on a number line.** Placing 3/5 closer to 0 because 3<5 numerically (ignoring proportion). Correct: 3/5=0.6 is between 0.5 and 1. *How to spot:* Convert to decimal first, then locate. Trap Option 6: **Ignoring mixed-number conversion.** Treating 2 1/4 as 2+1/4 rather than (2×4+1)/4=9/4 for operations. *How to spot:* Always convert to improper fractions before multiplying or dividing. Trap Option 7: **Misidentifying like fractions.** Thinking 3/5 and 3/7 are like (same numerator) when the rule is identical denominators only. *How to spot:* Check the denominator, not the numerator.

**Phase 1: Pre-Quiz Warm-Up (2 minutes).** Before your timed session, write the LCM shortcut (e.g., LCM of 3,4 is 12) and the decimal conversion table (1/2=0.5, 1/4=0.25, 1/3≈0.333, 3/4=0.75) on rough paper. This eliminates mental math delays. **Phase 2: Question Triage (30 seconds per MCQ).** Scan all questions before answering. Mark Easy (definition-based, direct calculations) as Group A, Medium (single LCM or mixed operations) as Group B, and Hard (assertion-reason or multi-step) as Group C. Allocate time proportionally: A gets 30 sec each, B gets 45 sec each, C gets 75 sec each. **Phase 3: Answer-First Elimination.** For questions 1–20, solve the problem independently *before* reading options. Then match your answer—this guards against trap options. For assertion-reason (21–30), evaluate A independently, then R, then their relationship before selecting. **Phase 4: The 50–50 Rule.** If stuck after 45 seconds, eliminate two obviously wrong options (e.g., answers >1 if comparing fractions <1), then guess intelligently between two. Move on. Return only if time remains. **Phase 5: Final Check (last 2 minutes).** If you finish early, spot-check your hardest 3 answers by recalculating. Verify decimal conversions (0.625=5/8?) and GCD simplifications (18/24=3/4?). **Benchmark:** Aim to complete all 30 questions in 40 minutes, leaving 5 for review. This matches real CBSE paper pacing. Start a 3-day free trial at cbsetutor.ai to access timed quizzes with instant feedback and identify your bottleneck topics within seconds.