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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