To Convert a Percentage into a Fraction
To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term.
Consider the following example:
(i) 20%
[We know % = 1/100]
= 20/100
[Now we need to reduce 20/100 to its lowest term]
= 20/100 ÷ 20/20
[Divide both the numerator and denominator by 20]
= 1/5
(ii) 6%
[We know % = 1/100]
= 6/100
[Now we need to reduce 6/100 to its lowest term]
= 6/100 ÷ 2/2
[Divide both the numerator and denominator by 2]
= 3/50
(iii) 150%
[We know % = 1/100]
= 150/100
[Now we need to reduce 150/100 to its lowest term]
= 150/100 ÷ 50/50
[Divide both the numerator and denominator by 50]
= \(\frac{3}{2}\)
= 1\(\frac{1}{2}\)
(iv) 48%
[We know % = 1/100]
= 48/100
[Now we need to reduce 48/100 to its lowest term]
= 48/100 ÷ 4/4
[Divide both the numerator and denominator by 4]
= 12/25
(v) 92%
[We know % = 1/100]
= 92/100
[Now we need to reduce 92/100 to its lowest term]
= 92/100 ÷ 4/4
[Divide both the numerator and denominator by 4]
= 23/25
(vi) 25%
[We know % = 1/100]
= 25/100
[Now we need to reduce 25/100 to its lowest term]
= 25/100 ÷ 25/25
[Divide both the numerator and denominator by 25]
= 1/4
Questions and Answers on Convert a Percentage into a Fraction:
I. Convert the following percentages to fraction:
(i) 9%
(ii) 11%
(iii) 10%
(iv) 25%
(v) 66%
(vi) 83%
(vii) 15%
(viii) 97%
Answers:
(i) \(\frac{9}{100}\)
(ii) \(\frac{11}{100}\)
(iii) \(\frac{10}{100}\) i.e., \(\frac{1}{10}\)
(iv) \(\frac{25}{100}\) i.e., \(\frac{1}{4}\)
(v) \(\frac{66}{100}\) i.e., \(\frac{33}{50}\)
(vi) \(\frac{83}{100}\)
(vii) \(\frac{15}{100}\) i.e., \(\frac{3}{20}\)
(viii) \(\frac{97}{100}\)
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