Percentage to Fraction Questions with Answers (Solved Examples)

Converting a percentage into a fraction means changing a number written with the % symbol (such as 30%) into fraction form (numerator/denominator form).

For example, 30% means 30 per 100.

30% = 30/100

Now simplify the fraction by dividing both the numerator and denominator by 10.

30/100 = (30 ÷ 10)/(100 ÷ 10)

= 3/10

Therefore, 30% = 3/10.

Here, 1 is the numerator and 5 is the denominator.

Formula to Convert Percentage into Fraction

Step 1: Remove the % sign.

Step 2: Write the number over 100.

Step 3: Simplify the fraction by dividing the numerator and denominator by their HCF. For more details check our dedicated percentage formual section.

Question 1: Convert 80% into a Fraction

Solution:

80% means 80 per 100.

80% = 80/100

Now simplify the fraction by dividing both the numerator and denominator by 20.

80/100 = (80 ÷ 20)/(100 ÷ 20)

= 4/5

Answer: 80% = 4/5

Shortcut for SSC, RRB, Banking and Other Competitive Exams

Remove the % sign, write the number over 100, and simplify.

80%

= 80/100

= ⅘

Question 2: Convert 50% into a Fraction

Solution:

50% = 50/100

= 1/2

Answer: 50% = ½

Question 3: Convert 25% into a Fraction

Solution:

25% = 25/100

= (25 ÷ 25)/(100 ÷ 25)

= 1/4

Answer: 25% = 1/4

Note: To simplify a fraction quickly, divide both the numerator and denominator by their Highest Common Factor (HCF).

Question 4: Convert 12.5% into a Fraction

Solution:

12.5% = 12.5/100

= 125/1000

= (125 ÷ 125)/(1000 ÷ 125)

= 1/8

Answer: 12.5% = ⅛

Question 5: Convert 33⅓% into a Fraction

Solution:

33⅓% = (100/3)%

Since:

33⅓ = (3 × 33 + 1)/3

= 100/3

Therefore,

33⅓% = (100/3)/100

= 100/300

= 1/3

Answer: 33⅓% = 1/3

Question 6: Convert 66⅔% into a Fraction

Solution:

66⅔% = (200/3)%

Because:

66⅔ = (66 × 3 + 2)/3

= 200/3

Therefore,

66⅔% = (200/3)/100

= 200/300

= 2/3

Answer: 66⅔% = 2/3

Question 7: Convert 150% into a Fraction

Solution:

150% = 150/100

Now simplify the fraction by dividing both the numerator and denominator by their Highest Common Factor (HCF), which is 50.

= (150 ÷ 50)/(100 ÷ 50)

= 3/2

Answer: 150% = 3/2

Question 8: Convert 225% into a Fraction

Solution:

225% = 225/100

= (225 ÷ 25)/(100 ÷ 25)

= 9/4

Answer: 225% = 9/4

Question 9: Convert 125% into a Fraction

Solution:

125% = 125/100

= (125 ÷ 25)/(100 ÷ 25)

= 5/4

Answer: 125% = 5/4

Question 10: Convert 75% into a Fraction

Solution:

75% = 75/100

= (75 ÷ 25)/(100 ÷ 25)

= 3/4

Answer: 75% = 3/4

Question 11: Convert 62.5% into a Fraction

Solution:

62.5% = 62.5/100

= 625/1000

= (625 ÷ 125)/(1000 ÷ 125)

= 5/8

Answer: 62.5% = 5/8

Question 12: Convert 37.5% into a Fraction

Solution:

37.5% = 37.5/100

= 375/1000

= (375 ÷ 125)/(1000 ÷ 125)

= 3/8

Answer: 37.5% = ⅜

Question 13: Convert 10% into a Fraction

Solution:

10% = 10/100

= (10 ÷ 10)/(100 ÷ 10)

= 1/10

Answer: 10% = 1/10

Question 14: Convert 16⅔% into a Fraction

Solution:

16⅔% = (50/3)%

Because:

16⅔ = (16 × 3 + 2)/3

= 50/3

Therefore,

16⅔% = (50/3)/100

= 50/300

= 1/6

Answer: 16⅔% = 1/6

Question 15: Convert 60% into a Fraction

Solution:

60% = 60/100

= (60 ÷ 20)/(100 ÷ 20)

= 3/5

Answer: 60% = 3/5

Question 16: Convert 40% into a Fraction

Solution:

40% = 40/100

= (40 ÷ 20)/(100 ÷ 20)

= 2/5

Answer: 40% = 2/5

Question 17: Convert 90% into a Fraction

Solution:

90% = 90/100

= (90 ÷ 10)/(100 ÷ 10)

= 9/10

Answer: 90% = 9/10

Question 18: Convert 5% into a Fraction

Solution:

5% = 5/100

= (5 ÷ 5)/(100 ÷ 5)

= 1/20

Answer: 5% = 1/20

Question 19: Convert 120% into a Fraction

Solution:

120% = 120/100

= (120 ÷ 20)/(100 ÷ 20)

= 6/5

Answer: 120% = 6/5

Percentage to Fraction Chart of Important and Often Asked Values

FAQ on Percentage to Fraction Questions

1. How do you convert a percentage to a fraction?

To convert a percentage into a fraction, remove the % symbol, write the number over 100, and simplify the fraction by dividing the numerator and denominator by their Highest Common Factor (HCF).

2. What is 12.5% as a fraction?

12.5% = 12.5/100 = 125/1000 = 1/8.

3. What is 33⅓% as a fraction?

33⅓% = 1/3

4. Can percentages greater than 100% be written as fractions?

Yes. Percentages greater than 100% can also be converted into fractions. For example, 125% = 5/4 and 150% = 3/2.

5. What is 25% as a fraction?

25% = 25/100 = 1/4.

6. What is 40% as a fraction?

40% = 40/100 = 2/5.

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