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

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) \(\frac{97}{100}\)

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