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To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term.
Convert a Percentage into a Fraction Video
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Consider the following example on Convert Fraction To Percent:
(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
(vii) Express 42% as fraction.
Solution:
42%
= 42 × \(\frac{1}{100}\)
= \(\frac{42}{100}\)
Divide numerator and denominator by 2, we get
= \(\frac{21}{50}\)
Therefore, 42% = \(\frac{21}{50}\)
Converting Fractions to Percentages
(viii) Express 66\(\frac{2}{3}\)% as a fraction:
Solution:
66\(\frac{2}{3}\)%
= \(\frac{(66 × 3) + 2}{3}\)%
= \(\frac{198 + 2}{3}\)%
= \(\frac{200}{3}\)%
= \(\frac{200}{3}\) × \(\frac{1}{100}\)
= \(\frac{200}{300}\)
= \(\frac{2}{3}\)
Converting Percentage to Fraction Short Video
Worksheet To Convert a Percentage into a Fraction
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) \(\frac{97}{100}\)
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
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