CONVERT BETWEEN PERCENTS FRACTIONS AND DECIMALS WORKSHEET

Problems 1-4 : Convert the percentage to proper fraction.

Problem 1 :

2.4%

Problem 2 :

0.55%

Problem 3 :

0.25%

Problem 4 :

15%

Problem 5 :

Convert the percentage to an improper fraction.

125%

Problems 6-10 : Covert the fraction to decimal.

Problem 6 :

3/20

Problem 7 :

7/10

Problem 8 :

3/50

Problem 9 :

 1/2

Problem 10 :

 3/4

Problems 11-15 : Convert the fraction to percentage.

Problem 11 : 

2/3

Problem 12 : 

5/6

Problem 13 : 

5/12

Problem 14 : 

45/8

Problem 15 : 

10/3

1. Answer :

2.4% = 2.4/100

= 24/1000

= 3/125

2. Answer :

0.55% = 0.55/100

= 55/10000

= 11/2000

3. Answer :

0.25% = 0.25/100

= 25/10000

= 1/400

4. Answer :

15% = 15/100

= 3/20

5. Answer :

125% = 125/100

= 5/4

6. Answer :

In the given fraction 3/20, the denominator 20 is convertible to 100.

So, we have 

3/20 = (3 ⋅ 5)/(20 ⋅ 5)

= 15/100

= 0.15

7. Answer :

In  the fraction 7/10, the denominator is 10. 

So, we have 

7/10 = 0.7

8. Answer :

In the fraction 3/50, the denominator 50 is convertible to 100. 

3/50 = (3 ⋅ 2)/(50 ⋅ 2)

= 6/100

= 0.06

9. Answer :

In the fraction 1/2, the denominator 2 is convertible to 10. 

1/2 = (1 ⋅ 5)/(2 ⋅ 5)

= 5/10

= 0.5

10. Answer :

In  the fraction 3/4, the denominator 4 is convertible to 100. 

So, we have 

3/4 = (3 ⋅ 25)/(4 ⋅ 25)

= 75/100

= 0.75

11. Answer :

In the fraction 2/3, the denominator 3 can't be converted to 10 or 100. 

So, 2/3 can be converted to decimal using long division. 

Then, we have

2/3 ≈ 0.6667

0.6667 = 0.6667 ⋅ 100%

= 66.67%

Therefore, 

2/3 ≈ 66.67%

12. Answer :

In the fraction 5/6, the denominator 6 can't be converted to 10 or 100. 

So, 5/6 can be converted to decimal using long division.  

Then, we have

5/6 ≈ 0.8333

0.8333 = 0.8333 ⋅ 100%

= 83.33%

Therefore, 

5/6 ≈ 83.33%

13. Answer :

In the fraction 5/12, the denominator 12 can't be converted to 10 or 100. 

So, 5/12 can be converted to decimal using long division.

Then, we have

5/12 ≈ 0.4167

0.4167 = 0.4167 ⋅ 100%

= 41.67%

Therefore, 

5/12 ≈ 41.66%

14. Answer :

In the fraction 45/8, the denominator 8 can't be converted to 10 or 100. 

So, 45/8 can be converted to decimal using long division.

45/8 = 5.625

= 5.625 ⋅ 100%

= 562.5%

15. Answer :

In the fraction 10/3, the denominator 3 can't be converted to 10 or 100.

So, 10/3 can be converted to decimal using long division.  

Then, we have

10/3 ≈ 3.3333

3.3333 = 3.3333 ⋅ 100%

= 333.33%

Therefore,

10/3 ≈ 333.33%

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