Percentage into Fraction

How to covert a percentage into fraction?

We will follow the following steps for converting a percentage into a fraction:

Step I: Obtain the given percentage. Let it be x %.

Step II: Remove the percentage sign (%) and then divide the number by 100. Therefore, x % = x/100

Step III: Reduce the fraction obtained to its lowest terms as required.


1. Express each of the following percentage into fraction in lowest terms:

(i) 16 % = 16/100 = 4/25

(ii) 48 % = 48/100 = 12/25

(iii) 5 % = 5/100 = 1/20

(iv) 25 % = 25/100 = 1/4

(v) 115 % = 115/100 = 23/20

(vi) 1 % = 1/100

2. Convert 27 per cent to fraction.

27 % = 27/100


3. Convert each of the following percentage as fractions in the lowest form:

(i) 24 % = 24/100 = 6/25

(ii) 62 % = 62/100 = 31/50

(iii) 30 % = 30/100 = 3/10

(iv) 75 % = 75/100 = ¾

(v) 10 % = 10/100 = 1/10


4. Convert each of the decimal percentage as fractions in the lowest form:

(i) 3.5 % = 35/10 % = 35/10 × 1/100 = 7/100

(ii) 0.5 % = 5/10 % = 5/10 × 1/100 = 1/200

(iii) 30.2% = 322/10 % = 322/10 × 1/100 = 322/1000 = 151/500

(iv) 0.4 % = 4/10 % = 4/10 × 1/100 = 4/1000 = 1/250

(v) 0.375 % = 375/1000 % = 375/1000 × 1/100 = 375/100000 = 3/800

 

5. Convert each of the fraction percentage as fractions in the lowest form:

(i) 32/5 % = 17/5 % = 17/5 × 1/100 = 17/500

(ii) 2/5 % = 2/5 × 1/100 = 1/250

(iii) 162/3 % = 50/3 % = 50/3 × 1/100 = 50/300 = 1/6

(iv) 51/8 % = 41/8 % = 41/8 × 1/100 = 41/800

(v) 2¾ % = 11/4 % = 11/4 × 1/100 = 11/400

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage





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