Subscribe to our ▶️YouTube channel🔴 for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
To convert a fraction into a percentage; we need to multiply the fraction by 100 and add the percent symbol after the product..
Let us consider how to change a fraction to a percent
(i) 42/100
= 42%
(ii) 73/100
= 73%
(iii) 6/100
= 6%
(iv) 15/100
= 15%
(v) 39/100
= 39%
(vi) 11/100
= 11%
Subscribe to our ▶️YouTube channel🔴 for the latest videos, updates, and tips.
To express a fraction as a per cent, we change the fraction into the equivalent fraction with denominator as 100. Then we express the fraction as a per cent by using the symbol %.
Let us consider some examples.
1. Express 35 as a per cent.
Solution:
35
= 3×205×20
(We multiply the numerator and the denominator both by 20 to make the denominator 100.)
= 60100
= 60 × 1100
= 60%
2. Express 214 as per cent
Solution:
214
= 94
= 9×254×25
(We multiply the numerator and the denominator both by 25 to make the denominator 100.)
= 225100
= 225 × 1100
= 225%
We multiply the numerator and the denominator both by 25.
We can also express a fraction as a per cent simply by multiplying it by 100 and writing % to the right of it.
For example:
(i) Express 3/4 as a percent.
Solution:
¾ × 100
= (3 × 100)/4
= 300/4
= 300/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 75%.
Answer: 75%
(ii) Express 12/5 as a percent.
Solution:
12/5 × 100
= (12 × 100)/5
= 1200/5
= 1200/5 ÷ 5/5
[Divide the numerator and denominator by 5]
= 240%.
Answer: 240%
(iii) Express 13/6 as a percent.
Solution:
13/6 × 100
= (13 × 100)/6
= 1300/6
= 1300/6 ÷ 2/2
[Divide the numerator and denominator by 2]
= 650/3
= 216 2/3%
Answer: 216 2/3%
(iv) Express 19/4 as a percent.
Solution:
19/4 × 100
= (19 × 100)/4 = 1900/4
= 1900/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 475%.
Answer: 475%
(v) Express 27/2 as a percent.
Solution:
27/2 × 100
= (27 × 100)/2
= 2700/2
= 2700/2 ÷ 2/2
[Divide the numerator and denominator by 2]
= 1350%.
Answer: 1350%
(vi) Express 925 as a percent.
Solution:
925
= 925 × 100%
= \(\frac{9 × 100}{25}\)%
= 90025%
= 36%
(vii) Express 14 as a percent.
Solution:
14
= 14 × 100%
= 1×1004%
= 1004%
= 25%
(viiI) Express 234 as a percent.
Solution:
234
= 114 × 100%
= 11×1004%
= 11004%
= 275%
Note: You may think that expressions 235% 275%, 105% etc have no meaning because no one can get more than 100 marks out of 100. It is true but one can earn $ 235, $ 275 or $ 105 per $ 100. If you purchase a watch for $ 100 and sell it for $ 235, you earn 135% profit.
Questions and Answers on Converting Fractions to Percent:
I. Convert the following fractions to percentage.
(i) 110
(ii) 35
(iii) 725
(iv) 2950
(v) 34
(vi) 4550
Answers:
I. (i) 10%
(ii) 60%
(iii) 28%
(iv) 58%
(v) 75%
(vi) 90%
To Convert a Percentage into a Fraction
To Convert a Fraction into a Percentage
To find the percent of a given number
To find what Per cent is one Number of another Number
To Calculate a Number when its Percentage is Known
5th Grade Math Problems
From To Convert a Fraction into a Percentage to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Jul 20, 25 12:58 PM
Jul 20, 25 10:22 AM
Jul 19, 25 05:00 AM
Jul 18, 25 10:38 AM
Jul 17, 25 01:06 AM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.