CONVERTING FRACTION INTO PERCENTAGE -
Converting a fraction into a percentage involves expressing the fraction as a ratio out of 100 and then multiplying by 100 to get the percentage value. Here's how you can do it:
3
1. Write the Fraction:- Let's say you have a fraction, such as -------
5
2. Express as a Percentage:- To convert 3/5 to a percentage, you can write it as a ratio out of 100:
3 20
-------- X --------
5 20
So, 3/5 is equivalent to 60% as a percentage.
3. Multiply and Simplify:- Multiply the fraction by 20/20 to make the denominator 100 -
3 20 60
------- X -------- = -------
5 20 100
4. Convert to Percentage:- Now, you can express 60/100 as a percentage by multiplying by 100:
60
-------- X 100 = 60%
100
Here's another example:-
If you have 2/7 and you want to convert it to a percentage:
2 100 200
------ X -------- = --------
7 100 700
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 100:
200 ÷ 100 2
------------- = -------
700 ÷ 100 7
2
------- X 100 = 28.57%
7
Rounded to two decimal places, 2/7 is approximately 28.57% as a percentage.
In general, to convert a fraction a/b to a percentage:
a
--------- X 100
b
This represents the ratio of the given fraction to a whole of 100, expressed as a percentage.