Percentage: Percentage to Fraction & Fraction to Percentage Conversion
In this article you will learn the following.
- WHAT IS PERCENTAGE?
- HOW TO CONVERT A FRACTION INTO PERCENTAGE?
- HOW TO CONVERT PERCENTAGE INTO FRACTION?
- ADVANTAGE OF ABOVE CONVERSIONS?
- MOCK QUESTIONS.
WHAT IS PERCENTAGE? |
· Percentage=Percent=Per Hundred e.g. if we say that Amit has scored 80% marks. We mean to say he has scored 80 marks over 100 marks.
· In every Cricket match, we see strike rates of Batsman, Strike rate is actually a percentage. (Although it is not called that strike rate of Player X is 88 %). If strike rate of a player is 88, it means he on average makes 88 runs over 100 balls.
In the above figure. Each quarter represents 25% of the area of the circle.
In other way we can also say that each quarter of circle has ¼ of the total area of the Circle.
So, Area of a Quarter of Circle= ¼ of Total Area of Circle= 25% of the total area of the Circle.
So, either we calculate 25% of something or 1/4th of it both are one and same.
I.e. Fraction equivalent of 25% is equal to 1/4.
HOW TO CONVERT A FRACTION INTO PERCENTAGE? |
Example:
Fraction | Calculation | Percentage |
1/5 | 1/5 X 100 | 20 % |
1/8 | 1/8 X 100 | 12.5 % |
3/4 | 3/4 X 100 | 75 % |
HOW TO CONVERT PERCENTAGE INTO FRACTION? |
Example:
Percentage | Calculation | Fraction |
20 % | 20/100 | 1/5 |
25 % | 25/100 | 1/4 |
40 % | 40/100 | 2/5 |
12.5 % | 12.5/100 | 1/8 |
ADVANTAGE OF ABOVE CONVERSIONS? |
· Many of you would be thinking , what is the benefit of learning
Example 1: If population of Vatican City is 960.If population of Vatican City grows by 12.5 % in a year. Calculate the population after one year.
Solution:
Traditional Method:
Population after one year = 960 + 12.5% of 960
= 960 + 12.5/100 X 960
= 960 + 120 = 1080 Ans.
In traditional method we need to do tedious calculation, but our conversion makes it so easy.
Using Conversion Method: In above section we have seen that 12.5 % is equivalent to 1/8 in fraction. I have earlier discussed that calculating 12.5 % of any number is exactly same as calculating 1/8 of that number.
Population after one year = 960 + 1/8 X 960 = 960 + 120 = 1080 Ans.
Actually you need not to write anything on the paper, let’s see how you should calculate mentally.
12.5% increase = 1/8 increase
12.5% increase = 1/8 increase
1/8 of 960 = 120
Total Population after a year = 960 + 120 = 1080
This question can be done mentally without using pen. Remembering these conversions are very essential to succeed in entrance examination.
Now you have seen the magic of these conversions, Now do one work, I am providing a conversion table below note it down in a A4 sheet of paper & paste it in front of your study table, glance through it once a day. It will make your life easier.
Fraction | Percentage | Fraction | Percentage | Fraction | Percentage | Fraction | Percentage |
1/2 | 50 % | 1/11 | 9.09 % | 1/20 | 5.00 % | 5/8 | 62.5 % |
1/3 | 33.33 % | 1/12 | 8.33% | 1/21 | 4.76 % | 7/8 | 87.5 % |
1/4 | 25 % | 1/13 | 7.69 % | 1/22 | 4.54 % | 2/3 | 66.66 % |
1/5 | 20 % | 1/14 | 7.14 % | 1/23 | 4.35 % | 5/6 | 83.33 % |
1/6 | 16.67 % | 1/15 | 6.66 % | 1/24 | 4.166 % | 4/5 | 80 % |
1/7 | 14.28 % | 1/16 | 6.25 % | 1/25 | 4.00 % | ||
1/8 | 12.5 % | 1/17 | 5.88 % | 1/30 | 3.33 % | ||
1/9 | 11.11 % | 1/18 | 5.55 % | 3/8 | 37.5 % | ||
1/10 | 10 % | 1/19 | 5.26 % | 2/5 | 40 % |
§ There is no need to mug up each and every item of table. Like if you know 1/8=> 12.5 % so if you multiply both sides by 3, you will get 3/8=>37.5 %.
Similarly 87.5%= 100 % - 12.5 %= 1-1/8 = 7/8.
Using above techniques if you remember basic conversions, you can calculate others.
MOCK QUESTIONS |
A] 330
B] 340
C] 350
D] 360
[Q2] Price of Rice is rice Rs. 42.4 per kg. If price is increased by 37.5%. Calculate new price of Rice per kg.
A] 45
B] 47.7
C] 58.3
D] 60.7
[Q3] In a Cricket match Virat Kohli scored 20% less runs than Dhoni, If Dhoni score 155 runs.
How much Virat scored in that match?
A] 114
B] 124
C] 134
D] 144
D] 144
| Source: thepercentcalculator.com |
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