To Convert a Fraction into a Percentage
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%
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● Percentage
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
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