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%
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 \(\frac{9}{25}\) as a percent.
Solution:
\(\frac{9}{25}\) = \(\frac{9}{25}\) × \(\frac{4}{100}\)
= 9 × 4
= 36%
Questions and Answers on Converting Fractions to Percent:
I. Convert the following fractions to percentage.
(i) \(\frac{1}{10}\)
(ii) \(\frac{3}{5}\)
(iii) \(\frac{7}{25}\)
(iv) \(\frac{29}{50}\)
(v) \(\frac{3}{4}\)
(vi) \(\frac{45}{50}\)
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 Numbers Page
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.
Apr 17, 24 01:53 PM
Apr 17, 24 01:32 PM
Apr 16, 24 02:00 AM
Apr 16, 24 01:15 AM
Apr 15, 24 11:30 PM