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.

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]

= 32

= 112



(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 × 1100

42100

Divide numerator and denominator by 2, we get

2150

Therefore, 42% = 2150


Converting Fractions to Percentages

(viii) Express 6623% as a fraction:

Solution:

6623%

(66×3)+23%

198+23%

2003%

2003 × 1100

200300

23


Converting Percentage to Fraction Short Video

Convert a Percentage into a Fraction

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) 9100

(ii) 11100

(iii) 10100 i.e., 110

(iv) 25100 i.e., 14

(v) 66100 i.e., 3350

(vi) 83100

(vii) 15100 i.e., 320

(viii) 97100

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