Simple and Decimal Fractions
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Cheat Sheets
Study MaterialSimple and Decimal Fractions Cheat Sheet
Simple and Decimal Fractions are among the most important topics in Quantitative Aptitude and are frequently asked in SSC, Banking, Railway, UPSC, Defence, Insurance, CAT, and other competitive examinations.
This cheat sheet helps candidates understand fraction concepts, decimal operations, recurring decimals, simplification techniques, conversions, and shortcut methods for faster calculations in exams.
About This Cheat Sheet
Complete guide to Fractions for competitive exams:
Types of Fractions
- Proper Fractions
- Improper Fractions
- Mixed Fractions
- Equivalent Fractions
- Like & Unlike Fractions
- Unit Fractions
Fraction Operations
- Addition of Fractions
- Subtraction of Fractions
- Multiplication of Fractions
- Division of Fractions
- Simplification Methods
Comparison of Fractions
- Ascending Order
- Descending Order
- Cross Multiplication
- LCM Method
- Equivalent Conversion
Decimal Fractions
Terminating decimals, non-terminating decimals, and repeating decimal concepts.
Recurring Decimals
- Pure Recurring Decimals
- Mixed Recurring Decimals
- Bar Notation
- Decimal to Fraction Conversion
Fraction to Decimal Conversion
- Long Division Method
- Shortcut Conversion Tricks
- Percentage Relation
- Equivalent Decimal Forms
BODMAS / PEMDAS
Simplification of fraction and decimal expressions using operation priority rules.
Shortcut Tricks
Fast calculation methods, approximation tricks, and exam-oriented simplification techniques.
Topics Covered
| Topic | Description |
|---|---|
| Proper Fractions | Fractions where numerator is smaller than denominator |
| Improper Fractions | Fractions where numerator is greater than denominator |
| Mixed Fractions | Combination of whole number and fraction |
| Equivalent Fractions | Different fractions representing the same value |
| Like Fractions | Fractions having same denominator |
| Unlike Fractions | Fractions having different denominators |
| Addition & Subtraction | Methods to solve fraction operations |
| Multiplication & Division | Rules for multiplying and dividing fractions |
| Decimal Fractions | Numbers represented in decimal form |
| Recurring Decimals | Decimals with repeating digit patterns |
| Bar Notation | Representation of recurring decimals |
| Fraction to Decimal | Conversion techniques and shortcuts |
| Decimal Operations | Addition, subtraction, multiplication, and division |
| BODMAS / PEMDAS | Priority rules for simplification |
| Comparison of Fractions | Methods for arranging fractions |
Why This Cheat Sheet is Important
Understand Fraction Basics
↓
Improve Calculation Accuracy
↓
Apply Shortcut Techniques
↓
Solve Decimal Problems Faster
↓
Score Better in Exams
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- Bank PO & Clerk
- Railway Exams
- UPSC CSAT
- Defence Exams
- Insurance Exams
- State Government Exams
- MBA Entrance Exams
Quick Example
Example:
Convert 0.75 into fraction form.
0.75 = 75/100
Divide numerator and denominator by 25
75 ÷ 25 = 3
100 ÷ 25 = 4
Therefore,
0.75 = 3/4
Final Takeaway
This Simple and Decimal Fractions Cheat Sheet provides complete revision material for all important concepts frequently asked in competitive examinations. Regular practice of fraction operations, decimal simplification, recurring decimal conversion, and shortcut techniques can significantly improve speed, accuracy, and problem-solving ability.
It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude.
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