Fractions, Percentages and Multiplication Tables Quick Reference: Fraction to Percentage Table and Calculation Tricks for SSC
Rahul Kumar
SSC Exam Expert & Content Editor
In this note
- 1.Fraction to Percentage Table
- 2.Recurring Decimals
- 3.Multiplication Tables 11 to 20
- 4.Fast Calculation Tricks
- 5.Percentage Conversions Used in Problems
- 6.Solved Examples
- 7.Quick Tips
- 8.Quick Revision Points
- 9.Practice Questions With Answers
- 10.How to Practise This Chapter
- 11.Frequently Asked Questions
PDF Notes: Fractions, Percentages and Multiplication Tables Quick Reference: Fraction to Percentage Table and Calculation Tricks for SSC
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Speed in calculation comes from knowing the fraction–percentage conversions and the multiplication tables by heart. This fractions, percentages and tables quick reference for SSC gives the fraction-to-percentage table, the decimal equivalents, the tables from 11 to 20 and the fast calculation tricks, with solved examples, practice questions and FAQs.
Fraction to Percentage Table
| Fraction | Percentage | Decimal |
|---|---|---|
| 1/2 | 50% | 0.5 |
| 1/3 | 33.33% | 0.333… |
| 2/3 | 66.67% | 0.666… |
| 1/4 | 25% | 0.25 |
| 3/4 | 75% | 0.75 |
| 1/5 | 20% | 0.2 |
| 2/5 | 40% | 0.4 |
| 3/5 | 60% | 0.6 |
| 4/5 | 80% | 0.8 |
| 1/6 | 16.67% | 0.1666… |
| 5/6 | 83.33% | 0.8333… |
| 1/7 | 14.28% | 0.142857… |
| 1/8 | 12.5% | 0.125 |
| 3/8 | 37.5% | 0.375 |
| 5/8 | 62.5% | 0.625 |
| 7/8 | 87.5% | 0.875 |
| 1/9 | 11.11% | 0.111… |
| 1/10 | 10% | 0.1 |
| 1/11 | 9.09% | 0.0909… |
| 1/12 | 8.33% | 0.0833… |
| 1/13 | 7.69% | 0.0769… |
| 1/14 | 7.14% | 0.0714… |
| 1/15 | 6.67% | 0.0666… |
| 1/16 | 6.25% | 0.0625 |
| 1/20 | 5% | 0.05 |
| 1/25 | 4% | 0.04 |
| 1/40 | 2.5% | 0.025 |
| 1/50 | 2% | 0.02 |
| 1/100 | 1% | 0.01 |
Recurring Decimals
- 0.333… = 1/3 and 0.666… = 2/3.
- 0.Recurring single digit a: 0.aaa… = a/9 (for example 0.777… = 7/9).
- Recurring two digits ab: 0.ababab… = ab/99 (for example 0.2727… = 27/99 = 3/11).
- Mixed recurring such as 0.1666… = (16 − 1)/90 = 15/90 = 1/6.
- 1/7 = 0.142857 (the digits repeat in the cycle 142857).
Multiplication Tables 11 to 20
| Table | ×1 | ×2 | ×3 | ×4 | ×5 | ×6 | ×7 | ×8 | ×9 | ×10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 11 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 |
| 12 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 |
| 13 | 13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130 |
| 14 | 14 | 28 | 42 | 56 | 70 | 84 | 98 | 112 | 126 | 140 |
| 15 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 | 135 | 150 |
| 16 | 16 | 32 | 48 | 64 | 80 | 96 | 112 | 128 | 144 | 160 |
| 17 | 17 | 34 | 51 | 68 | 85 | 102 | 119 | 136 | 153 | 170 |
| 18 | 18 | 36 | 54 | 72 | 90 | 108 | 126 | 144 | 162 | 180 |
| 19 | 19 | 38 | 57 | 76 | 95 | 114 | 133 | 152 | 171 | 190 |
| 20 | 20 | 40 | 60 | 80 | 100 | 120 | 140 | 160 | 180 | 200 |
Fast Calculation Tricks
| Trick | Method | Example |
|---|---|---|
| Multiply by 5 | Multiply by 10 and divide by 2 | 46 × 5 = 460/2 = 230 |
| Multiply by 25 | Multiply by 100 and divide by 4 | 36 × 25 = 3600/4 = 900 |
| Multiply by 50 | Multiply by 100 and divide by 2 | 42 × 50 = 4200/2 = 2100 |
| Multiply by 125 | Multiply by 1000 and divide by 8 | 24 × 125 = 24000/8 = 3000 |
| Multiply by 9, 99, 999 | Multiply by 10, 100, 1000 and subtract the number | 47 × 99 = 4700 − 47 = 4653 |
| Multiply by 11 | Add the neighbouring digits | 35 × 11 = 3, (3 + 5), 5 = 385 |
| Square of a number ending in 5 | n(n + 1) followed by 25 | 35² = (3 × 4) and 25 = 1225 |
| Square of a number near 50 or 100 | (Number ± difference) pattern | 98² = (98 − 2) and 2² = 9604 |
| Divide by 5 | Multiply by 2 and divide by 10 | 85/5 = 170/10 = 17 |
| Divide by 25 | Multiply by 4 and divide by 100 | 350/25 = 1400/100 = 14 |
| (a + b)(a − b) | a² − b² | 52 × 48 = 50² − 2² = 2496 |
| Percentage of a number | x% of y = y% of x | 8% of 25 = 25% of 8 = 2 |
Percentage Conversions Used in Problems
| If the change is | The multiplying factor is |
|---|---|
| Increase by 10% | 1.1 or 11/10 |
| Increase by 20% | 1.2 or 6/5 |
| Increase by 25% | 1.25 or 5/4 |
| Decrease by 10% | 0.9 or 9/10 |
| Decrease by 20% | 0.8 or 4/5 |
| Decrease by 25% | 0.75 or 3/4 |
| Increase by 33.33% | 4/3 |
| Decrease by 33.33% | 2/3 |
Solved Examples
Example 1. Find 12.5% of 640.
12.5% = 1/8, so 640/8 = 80.
Example 2. Find 16.67% of 1,200.
16.67% = 1/6, so 1200/6 = 200.
Example 3. Find 17 × 15.
From the table, 17 × 15 = 255.
Example 4. Find 75².
7 × 8 = 56 followed by 25 = 5,625.
Example 5. Find 64 × 25.
6400/4 = 1,600.
Example 6. Convert 0.2727… into a fraction.
27/99 = 3/11.
Quick Tips
- Memorise the fractions up to 1/16 and their percentages.
- Learn the tables up to 20.
- Use the tricks for 5, 25 and 99.
- Use the multiplying factors for the percentage increase and decrease.
Quick Revision Points
- 1/8 = 12.5%; 1/6 = 16.67%; 1/7 = 14.28%.
- 0.aaa… = a/9; 0.abab… = ab/99.
- Multiply by 25: multiply by 100 and divide by 4.
- Square of a number ending in 5: n(n+1) then 25.
- x% of y = y% of x.
Practice Questions With Answers
- What is 1/8 as a percentage?
Answer: 12.5% - What is 1/6 as a percentage?
Answer: 16.67% - What is 1/9 as a percentage?
Answer: 11.11% - Find 18 × 17.
Answer: 306 - Find 85².
Answer: 7,225 - Find 48 × 25.
Answer: 1,200 - Convert 0.555… to a fraction.
Answer: 5/9 - Find 62.5% of 400.
Answer: 250 - Find 47 × 99.
Answer: 4,653 - What is the multiplying factor for a 20% decrease?
Answer: 0.8
How to Practise This Chapter
Practise 10 questions every day and write the steps on paper. Then attempt timed sets from our practice papers and the previous year papers page. See all topics on the Formula Guide notes page, read the previous topic Permutation, Combination and Probability Formula Guide and the next topic Reasoning Formulas and Counting Shortcuts.
Frequently Asked Questions
What is 1/7 as a percentage?
About 14.28%.
What is 1/12 as a percentage?
8.33%.
How do I convert a recurring decimal into a fraction?
Use the formula: the recurring digits over as many 9s as there are digits.
How do I multiply by 25 quickly?
Multiply by 100 and divide by 4.
How do I square a number that ends in 5?
Multiply the leading number by the next number and write 25 at the end.
What is the trick for multiplying by 11?
Add the neighbouring digits in the middle.
What is the factor for a 25% increase?
1.25 or 5/4.
What is x% of y equal to?
y% of x.
Is this topic asked in SSC?
Yes. The fast calculation helps in every maths paper and in data interpretation.
How many tables should I learn?
Up to 20, and the squares up to 30.
What is 3/8 as a percentage?
37.5%.
What is 5/6 as a percentage?
83.33%.
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Permutation, Combination and Probability Formula Guide: nPr, nCr, Circular Arrangements and Probability Rules for SSC
Next chapter
Reasoning Formulas and Counting Shortcuts: Ranking, Handshakes, Triangles, Squares, Clock and Opposite Letters for SSC
Rahul Kumar
SSC Exam Expert & Content Editor
Rahul is a senior SSC exam strategist with 8+ years of experience helping aspirants crack CGL, CHSL and MTS exams. He writes in-depth notification breakdowns, exam pattern guides and preparation strategies.