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
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