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Fractions Quiz

Free practice quiz on Fractions Quiz with detailed solutions for government exam preparation.

25
Minutes
25
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About This Quiz

Fractions Quiz is a free, 25-minute, 25-mark practice quiz on AajExam rated at medium difficulty, designed to help candidates preparing for SSC, UPSC, Banking, Railway and State PSC government competitive exams sharpen their command of Fractions (Numerical & Mental Ability). Every question on this quiz ships with a detailed step-by-step solution so you don't just learn the right answer — you learn the reasoning and shortcuts top scorers use to crack similar questions faster on the actual exam day. Why Fractions Quiz matters in your preparation: government exam-conducting bodies repeatedly draw questions from the same chapters and the same skill-clusters across recruitment cycles. By attempting focused topic-wise quizzes like this one, you build pattern recognition — the ability to spot which formula, rule or trick applies the moment you see a question. Toppers consistently report that 5-10 quizzes on a single topic delivers more exam-day score gain than 20+ unfocused full-length mocks, because targeted drilling exposes your specific sub-topic weaknesses with surgical precision. How to use this quiz effectively: attempt it in one sitting under the 25-minute timer, without referring to notes or external resources — simulate exam-day conditions exactly. After submission, review the auto-generated analytics to see your accuracy, time per question and section-wise performance. Then go through every wrong and skipped question with the explanation, mentally tagging the underlying concept rather than just memorising the answer. Revisit this quiz after 7-10 days; your second attempt should be 15-20% faster with noticeably better accuracy. Bookmark this page and revisit weekly as we add new quizzes on related topics. AajExam quiz design principles: every quiz on the platform is curated by subject experts using the actual question formats, difficulty distributions and time pressures of the target government exams. We deliberately avoid generic "textbook" questions in favour of exam-replicating ones. Solutions are written in plain English (and Hindi where source material was bilingual), with step-by-step working for quantitative problems, grammar rules for English questions, and direct reference statements for general awareness items. Performance analytics after each attempt include accuracy, attempt rate, time spent per question, and an estimated all-India percentile so you know exactly where you stand against other candidates. This quiz is completely free to attempt. You only need a free AajExam account to track your performance across attempts, view detailed solutions and unlock the platform-wide analytics dashboard. The platform is mobile-friendly and works seamlessly on smartphones, tablets and desktops — so you can sharpen your Fractions (Numerical & Mental Ability) skills in any spare 15-minute window.

Fractions Quiz — Questions with Solutions

All 25 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.

  1. Q1.Add 1/2 and 1/4.

    • A.1/2
    • B.3/4
    • C.5/4
    • D.1
    Show answer

    Answer: B. 3/4

    1/2 + 1/4 = 2/4 + 1/4 = 3/4.

  2. Q2.Simplify 4/8.

    • A.1/4
    • B.1/2
    • C.2/3
    • D.3/4
    Show answer

    Answer: B. 1/2

    4/8 simplifies to 1/2 by dividing numerator and denominator by 4.

  3. Q3.Which fraction is greater: 3/4 or 2/3?

    • A.3/4
    • B.2/3
    • C.They are equal
    • D.Cannot be determined
    Show answer

    Answer: A. 3/4

    3/4 = 0.75 and 2/3 = 0.67, so 3/4 is greater.

  4. Q4.Convert 0.75 into a fraction.

    • A.3/4
    • B.1/2
    • C.2/3
    • D.3/5
    Show answer

    Answer: A. 3/4

    0.75 equals 75/100, which simplifies to 3/4.

  5. Q5.Subtract 1/3 from 2/3.

    • A.1/3
    • B.2/3
    • C.1
    • D.0
    Show answer

    Answer: A. 1/3

    2/3 - 1/3 = 1/3.

  6. Q6.Multiply 2/3 by 3/4.

    • A.1/2
    • B.2/4
    • C.6/12 (equivalent to 1/2)
    • D.Both A and C
    Show answer

    Answer: D. Both A and C

    2/3 x 3/4 = 6/12 = 1/2.

  7. Q7.Divide 1/2 by 1/4.

    • A.1/8
    • B.1/2
    • C.2
    • D.4
    Show answer

    Answer: C. 2

    Dividing by a fraction means multiplying by its reciprocal: 1/2 x 4/1 = 2.

  8. Q8.Which of the following is an improper fraction?

    • A.1/2
    • B.3/4
    • C.5/3
    • D.2/5
    Show answer

    Answer: C. 5/3

    5/3 has a numerator greater than the denominator, making it improper.

  9. Q9.Convert the mixed number 2 1/2 into an improper fraction.

    • A.5/2
    • B.3/2
    • C.7/2
    • D.4/2
    Show answer

    Answer: A. 5/2

    2 1/2 = (2x2+1)/2 = 5/2.

  10. Q10.Add 1/5 and 2/5.

    • A.3/10
    • B.3/5
    • C.2/5
    • D.1/5
    Show answer

    Answer: B. 3/5

    1/5 + 2/5 = 3/5.

  11. Q11.Which fraction is equivalent to 50%?

    • A.1/2
    • B.1/4
    • C.3/4
    • D.1/5
    Show answer

    Answer: A. 1/2

    50% equals 1/2.

  12. Q12.Simplify 12/16.

    • A.3/4
    • B.2/3
    • C.1/2
    • D.5/8
    Show answer

    Answer: A. 3/4

    12/16 simplifies to 3/4 by dividing both by 4.

  13. Q13.Add 2/3 and 1/6.

    • A.5/6
    • B.4/6
    • C.1
    • D.1/2
    Show answer

    Answer: A. 5/6

    2/3 = 4/6; 4/6 + 1/6 = 5/6.

  14. Q14.Which is the smallest: 1/2, 1/3, 1/4, 1/5?

    • A.1/2
    • B.1/3
    • C.1/4
    • D.1/5
    Show answer

    Answer: D. 1/5

    As the denominator increases, the fraction's value decreases; 1/5 is smallest.

  15. Q15.Convert 3/5 into a percentage.

    • A.30%
    • B.50%
    • C.60%
    • D.70%
    Show answer

    Answer: C. 60%

    3/5 = 0.6 = 60%.

  16. Q16.Subtract 3/8 from 7/8.

    • A.1/2
    • B.3/4
    • C.4/8 (equivalent to 1/2)
    • D.Both A and C
    Show answer

    Answer: D. Both A and C

    7/8 - 3/8 = 4/8 = 1/2.

  17. Q17.Which of the following fractions is in its simplest form?

    • A.4/8
    • B.6/9
    • C.5/7
    • D.10/15
    Show answer

    Answer: C. 5/7

    5/7 has no common factors between numerator and denominator other than 1.

  18. Q18.Find the reciprocal of 3/7.

    • A.7/3
    • B.3/7
    • C.1/3
    • D.1/7
    Show answer

    Answer: A. 7/3

    The reciprocal of a fraction swaps numerator and denominator: 7/3.

  19. Q19.Multiply 1/4 by 1/2.

    • A.1/8
    • B.1/6
    • C.1/4
    • D.1/2
    Show answer

    Answer: A. 1/8

    1/4 x 1/2 = 1/8.

  20. Q20.Which fraction represents 25%?

    • A.1/2
    • B.1/4
    • C.3/4
    • D.1/3
    Show answer

    Answer: B. 1/4

    25% equals 1/4.

  21. Q21.Add 3/4 and 1/8.

    • A.7/8
    • B.5/8
    • C.1
    • D.3/8
    Show answer

    Answer: A. 7/8

    3/4 = 6/8; 6/8 + 1/8 = 7/8.

  22. Q22.Which is greater: 5/6 or 7/8?

    • A.5/6
    • B.7/8
    • C.They are equal
    • D.Cannot be determined
    Show answer

    Answer: B. 7/8

    5/6 ≈ 0.833 and 7/8 = 0.875, so 7/8 is greater.

  23. Q23.Simplify 18/24.

    • A.3/4
    • B.2/3
    • C.5/6
    • D.1/2
    Show answer

    Answer: A. 3/4

    18/24 simplifies to 3/4 by dividing both by 6.

  24. Q24.Convert 1/8 into a decimal.

    • A.0.125
    • B.0.25
    • C.0.5
    • D.0.75
    Show answer

    Answer: A. 0.125

    1 divided by 8 equals 0.125.

  25. Q25.A pizza is divided into 8 equal slices. If 3 slices are eaten, what fraction remains?

    • A.3/8
    • B.5/8
    • C.1/2
    • D.1/4
    Show answer

    Answer: B. 5/8

    8-3=5 slices remain out of 8, i.e. 5/8.

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Frequently Asked Questions

Is Fractions Quiz free to attempt on AajExam?

Yes. Fractions Quiz is completely free. You only need a free AajExam account to track your score, view detailed solutions and unlock cross-attempt analytics.

How long does it take to complete Fractions Quiz?

Fractions Quiz runs on a 25-minute timer in real exam-style conditions. The clock starts the moment you click Start, mirroring the time pressure of the actual exam.

Are detailed solutions provided?

Yes. Every question on Fractions Quiz ships with a complete step-by-step solution, the underlying concept, and (where applicable) shortcut tricks. You can also discuss any question with the AajExam community.

Can I attempt Fractions Quiz multiple times?

Yes. You can attempt this quiz as many times as you like. Each attempt is recorded separately so you can track improvement in score, accuracy and time-management.

Which government exams does this quiz prepare me for?

Fractions questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.