# 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]

= 3/2

= 1 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

● Percentage

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