Fraction-to-percentage conversion is an important topic in quantitative aptitude for candidates preparing for bank exams, SSC exams, railway exams, insurance exams, defense exams, CAT, CUET, and other competitive examinations. Memorizing common fraction values helps aspirants solve questions from percentage, ratio, profit & loss, data interpretation, and arithmetic topics faster. This article covers the fraction-to-percentage formula, important conversion tables, shortcut tricks, practice questions, and a free Speed Math Kit PDF for quick revision.
What is fraction-to-percentage conversion?
A fraction represents a part of a whole and is written as Numerator/Denominator, where the numerator represents the selected part and the denominator represents the total parts. Converting a fraction into a percentage means finding its value out of 100. This concept is widely used in aptitude questions, especially in banking, SSC, and railway exams, where quick calculations can improve overall exam performance. The fraction-to-percentage formula is:
Percentage = (Numerator ÷ Denominator) × 100
Examples:
- 3/4 = (3 ÷ 4) × 100 = 75%
- 5/8 = (5 ÷ 8) × 100 = 62.5%
- 2/3 = (2 ÷ 3) × 100 = 66.67%
Important Fraction to Percentage Table
The following fraction-to-percentage table includes the most commonly asked values in banking, SSC, railway, insurance, and other competitive exams. Learning these basic conversions helps candidates save calculation time during questions based on percentages, data interpretation, ratio, profit and loss, and comparison-based problems.
| Fraction | Percentage |
| 1/2 | 50% |
| 1/3 | 33.33% |
| 2/3 | 66.67% |
| 1/4 | 25% |
| 3/4 | 75% |
| 1/5 | 20% |
| 2/5 | 40% |
| 3/5 | 60% |
| 4/5 | 80% |
| 1/6 | 16.67% |
| 5/6 | 83.33% |
| 1/8 | 12.5% |
| 3/8 | 37.5% |
| 5/8 | 62.5% |
| 7/8 | 87.5% |
| 1/9 | 11.11% |
| 2/9 | 22.22% |
| 4/9 | 44.44% |
| 1/10 | 10% |
| 1/20 | 5% |
| 1/25 | 4% |
| 1/50 | 2% |
| 1/100 | 1% |
Fraction to Percentage Tricks for Competitive Exams
Instead of calculating every fraction using the formula, candidates can use shortcut methods to improve speed and accuracy. These tricks are especially useful for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, SSC CGL, SSC CHSL, RRB NTPC, LIC AAO, NIACL AO, and other aptitude-based exams where time management plays an important role.
Denominator Shortcut Method
When the denominator is a factor of 100, fraction conversion can be done instantly by multiplying the numerator with a fixed number. This method helps in solving percentage-based questions quickly without performing lengthy division.
| Denominator | Shortcut | Example |
| 2 | Multiply by 50 | 3/2 = 150% |
| 4 | Multiply by 25 | 3/4 = 75% |
| 5 | Multiply by 20 | 3/5 = 60% |
| 10 | Multiply by 10 | 7/10 = 70% |
| 20 | Multiply by 5 | 7/20 = 35% |
| 25 | Multiply by 4 | 13/25 = 52% |
| 50 | Multiply by 2 | 17/50 = 34% |
Double & Half Trick
The double and half method allows candidates to derive new fraction values from already memorized percentages. It reduces the need to remember every individual conversion.
Examples:
- 1/4 = 25% → 1/8 = 12.5%
- 1/5 = 20% → 2/5 = 40%
- 1/3 = 33.33% → 2/3 = 66.67%
Fraction Families
Learning fractions in groups makes memorisation easier. Candidates can remember one basic value and calculate other related fractions quickly.
| Fraction Family | Values |
| 25% Family | 1/4=25%, 2/4=50%, 3/4=75%, 4/4=100% |
| 20% Family | 1/5=20%, 2/5=40%, 3/5=60%, 4/5=80% |
| 12.5% Family | 1/8=12.5%, 2/8=25%, 3/8=37.5%, 4/8=50%, 5/8=62.5% |
| 11.11% Family | 1/9=11.11%, 2/9=22.22%, 3/9=33.33%, 4/9=44.44% |
Complete Fraction to Percentage Chart
The complete fraction-to-percentage chart below covers commonly used fractions with different denominators. It is useful for candidates preparing for bank exams, SSC exams, railway exams, and other competitive tests, as these values frequently appear in arithmetic and data interpretation questions. Regular revision of this chart improves calculation speed and reduces dependency on lengthy calculations during exams.
| Fraction | Percentage | Fraction | Percentage |
| 1/2 | 50% | 2/2 | 100% |
| 1/3 | 33.33% | 2/3 | 66.67% |
| 3/3 | 100% | 4/3 | 133.33% |
| 1/4 | 25% | 3/4 | 75% |
| 5/4 | 125% | 6/4 | 150% |
| 1/5 | 20% | 4/5 | 80% |
| 6/5 | 120% | 8/5 | 160% |
| 1/6 | 16.67% | 5/6 | 83.33% |
| 7/6 | 116.67% | 9/6 | 150% |
| 1/7 | 14.28% | 3/7 | 42.84% |
| 5/7 | 71.42% | 7/7 | 100% |
| 1/8 | 12.5% | 5/8 | 62.5% |
| 7/8 | 87.5% | 8/8 | 100% |
| 1/9 | 11.11% | 5/9 | 55.56% |
| 8/9 | 88.89% | 9/9 | 100% |
| 1/10 | 10% | 7/10 | 70% |
Download Free Speed Math Kit PDF
Candidates preparing for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, RBI Assistant, SSC CGL, SSC CHSL, RRB NTPC, LIC AAO, NIACL AO, CAT, CUET, and other competitive exams can download the Free Speed Math Kit PDF to improve their calculation speed.
Special Fraction to Percentage Values
Apart from common fractions, some uncommon values are also useful for advanced aptitude questions, especially in Banking Mains, SSC CGL, CAT, and data interpretation-based questions. Memorising these conversions helps candidates solve approximation and calculation-based problems more efficiently.
| Fraction | Percentage |
| 1/21 | 4.76% |
| 1/23 | 4.35% |
| 1/24 | 4.17% |
| 1/25 | 4% |
| 1/30 | 3.33% |
| 1/40 | 2.5% |
| 1/60 | 1.67% |
Fraction to Percentage Practice Questions
Practising fraction-to-percentage conversions regularly improves calculation speed and accuracy. Try solving these questions without using a calculator, as mental calculations are important for competitive exams.
| Question | Answer |
| Convert 5/8 into percentage | 62.5% |
| Convert 7/20 into percentage | 35% |
| Convert 11/25 into percentage | 44% |
| Convert 9/7 into percentage | 128.57% |
| Which fraction equals 37.5%? | 3/8 |
| Convert 13/6 into percentage | 216.67% |
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Hi, I’m Tripti, a senior content writer at Oliveboard, where I manage blog content along with community engagement across platforms like Telegram and WhatsApp. With 3+ years of experience in content and SEO optimization related to banking exams, I have led content for popular exams like SSC, banking, railway, and state exams.