

RRB ALP Fractions Questions: Fractions are one of the topics that usually appear in the Maths section in the RRB ALP exam. It’s expected that the RRB ALP fractions questions asked in the paper are 3 to 4 questions. The questions are based on the fraction simplification covered in the paper. Practice and conceptual knowledge are the only ways to attempt the RRB ALP fractions questions in the paper.
Also Read: RRB ALP Selection Process
RRB ALP Fraction Questions form an important part of the Mathematics section. The purpose is to test candidates’ speed and accuracy in handling basic numerical operations. Questions are usually asked from topics like simplification of fractions, addition and subtraction with the same or different denominators, multiplication and division, mixed fraction conversion, and comparison of fractions using cross-multiplication.
Candidates also face application-based problems where fractions are used in time and work, speed-distance, or profit and loss. The difficulty level ranges from easy to moderate, but accuracy is crucial as even small mistakes can cost marks. Regular practice of fraction simplification tricks, LCM/HCF methods, and shortcut calculations helps in boosting efficiency.
| RRB ALP Fractions Questions | |
| Question Type | Explanation | 
| Simplification of Fractions | Reducing fractions to the simplest form using LCM and HCF concepts. | 
| Addition and Subtraction | Solving fractions with the same or different denominators. | 
| Multiplication and Division | Quick calculation by multiplying/dividing numerators and denominators. | 
| Mixed Fractions | Converting mixed fractions ↔ improper fractions for solving. | 
| Comparison of Fractions | Checking greater/smaller fractions using cross-multiplication. | 
| Application-Based Problems | Using fractions in time & work, speed-distance, profit-loss, etc. | 
Railway ALP Fraction Simplification forms a key part of the Arithmetic section in the exam. This topic mainly covers reducing fractions to their simplest form, using LCM and HCF for denominators, and solving operations like addition, subtraction, multiplication, and division. Candidates often face questions on mixed fractions, improper fractions, and comparison of fractions using cross-multiplication.
In many cases, fractions are also applied to word problems from time & work, speed & distance, and profit & loss. The questions are usually easy to moderate, but since they involve calculations, accuracy and speed are very important.
Consistent practice of fraction simplification with short tricks and previous year RRB ALP questions helps in mastering this section effectively.
Candidates can get the RRB ALP Fractions Questions PDF file with the questions and solutions covered in it. The questions can be used by the candidates for practice. They can download the fractions questions PDF file. They can use the practice questions.
RRB ALP Fractions Questions PDF
Fractions are important for any candidate preparing for competitive exams. Therefore, a list of the important fractions for ALP CBT has been provided in a tabular format. Candidates should understand and memorise it for solving RRB ALP fractions questions asked in the examination.
| Important Fractions For ALP CBT | ||
| Fraction | Decimal Value | Percentage Equivalent | 
| 1/2 | 0.5 | 50% | 
| 1/3 | 0.333… | 33.33% | 
| 2/3 | 0.666… | 66.67% | 
| 1/4 | 0.25 | 25% | 
| 3/4 | 0.75 | 75% | 
| 1/5 | 0.2 | 20% | 
| 2/5 | 0.4 | 40% | 
| 3/5 | 0.6 | 60% | 
| 4/5 | 0.8 | 80% | 
| 1/6 | 0.166… | 16.67% | 
| 5/6 | 0.833… | 83.33% | 
| 1/7 | 0.142… | 14.28% | 
| 2/7 | 0.285… | 28.57% | 
| 3/7 | 0.428… | 42.86% | 
| 4/7 | 0.571… | 57.14% | 
| 5/7 | 0.714… | 71.43% | 
| 6/7 | 0.857… | 85.71% | 
| 1/8 | 0.125 | 12.5% | 
| 3/8 | 0.375 | 37.5% | 
| 5/8 | 0.625 | 62.5% | 
| 7/8 | 0.875 | 87.5% | 
| 1/9 | 0.111… | 11.11% | 
| 2/9 | 0.222… | 22.22% | 
| 4/9 | 0.444… | 44.44% | 
| 5/9 | 0.555… | 55.56% | 
| 7/9 | 0.777… | 77.78% | 
| 8/9 | 0.888… | 88.89% | 
| 1/10 | 0.1 | 10% | 
| 3/10 | 0.3 | 30% | 
| 7/10 | 0.7 | 70% | 
| 9/10 | 0.9 | 90% | 
Also Read: RRB ALP Syllabus
Simple fraction tricks for competitive exams can be a handy resource for candidates to attempt the questions. In exams like RRB ALP, candidates have to face questions from different sections. These tricks can help them attempt the RRB ALP fractions questions. Candidates can get a strong command of these tricks only by solving the RRB ALP Maths Fractions Practice Set.
| Fractions Tricks For Competitive Exams | |
| Topic | Trick/Shortcut | 
| Simplification | Cancel numerator & denominator directly; reduce to lowest terms. | 
| Addition/Subtraction | Same denominator → add/subtract numerators; Different denominator → take LCM of denominators & adjust numerators. | 
| Multiplication | Cross-cancel before multiplying; multiply numerators & denominators directly. | 
| Division | Flip the second fraction (reciprocal) and multiply. Example: (a/b) ÷ (c/d) = (a/b) × (d/c). | 
| Mixed Fractions | Convert to improper fractions before solving. Example: 3 ½ = 7/2. | 
| Comparison | Use cross multiplication. Compare a×d and b×c for fractions a/b & c/d. | 
| Application | Convert % into fractions for faster solving. Example: 50% = 1/2, 25% = 1/4, 20% = 1/5. | 
Candidates are well aware of the fact that they can strengthen their concepts in fractions only by practice. Therefore, RRB ALP Maths Fractions Practice Set has been provided for practice. The questions are based on the latest pattern adopted by the conducting authority to organise the ALP exam in the future. Solutions to the RRB ALP fractions questions are covered in the table.
| RRB ALP Maths Fractions Practice Set | |||
| S. No. | Question | Options | Solution | 
| 1. | Simplify: 43+21+85 | A) 183 B) 185 C) 187 D) 2 | C | 
| 2. | Find the value of 32 of 65 of 36. | A) 15 B) 20 C) 25 D) 30 | B | 
| 3. | A man spends 41 of his salary on food and 31 on rent. What fraction of his salary is left? | A) 125 B) 127 C) 21 D) 31 | A | 
| 4. | Arrange the following fractions in ascending order: 21,53,32,74. | A) 21,53,74,32 B) 21,74,53,32 C) 74,21,53,32 D) 21,32,53,74 | B | 
| 5. | Simplify: 241+321−183 | A) 483 B) 487 C) 583 D) 485 | D | 
| 6. | The product of two fractions is 2815. If one fraction is 75, what is the other fraction? | A) 43 B) 54 C) 53 D) 41 | A | 
| 7. | A container is 52 full. If 30 litres of water is added, it becomes 54 full. What is the capacity of the container? | A) 50 litres B) 60 litres C) 75 litres D) 80 litres | C | 
| 8. | What is the value of 125×154÷32? | A) 61 B) 91 C) 31 D) 181 | B | 
| 9. | Simplify: 32÷(61+91) | A) 512 B) 125 C) 51 D) 52 | A | 
| 10. | Find the difference between 521 and 243. | A) 243 B) 341 C) 321 D) 221 | A |