CONVERTING DECIMALS TO FRACTIONS WORKSHEET

Problems 1-5 : Convert each decimal number to a proper fraction.

Problem 1 :

0.3

Problem 2 :

0.5

Problem 3 :

0.65

Problem 4 :

0.035

Problem 5 :

0.0005

Problems 6-10 : Convert each decimal number to an improper fraction.

Problem 6 :

1.3

Problem 7 :

2.5

Problem 8 :

1.75

Problem 9 :

4.025

Problem 10 :

3.0005

Problems 11-12 : Convert each decimal number to a mixed number.

Problem 11 :

1.5

Problem 12 :

3.75

Problem 13 :

9.045

Problem 14 :

4.0085

Problem 15 :

5.0205

Answers

1. Answer :

Since 0.3 is less than 1, it can be converted to a proper fraction.

Since we have one digit after the decimal point in 0.3, we can write it as a fraction with denominator 10.

= 3/10

2. Answer :

Since 0.5 is less than 1, it can be converted to a proper fraction.

Since we have one digit after the decimal point in 0.5, we can write it as a fraction with denominator 10.

= 5/10

Simplify.

= 1/2

3. Answer :

Since 0.65 is less than 1, it can be converted to a proper fraction.

Since we have two digits after the decimal point in 0.65, we can write it as a fraction with denominator 100.

= 65/100

Simplify.

= 13/20

4. Answer :

The decimal number 0.035 is less than 1. So, it can be converted to a proper fraction.

Since we have three digits after the decimal point in 0.035, we can write it as a fraction with denominator 1000.

= 35/1000

Simplify.

= 7/20

5. Answer :

The decimal number 0.0005 is less than 1. So, it can be converted to a proper fraction.

Since we have four digits after the decimal point in 0.0005, we can write it as a fraction with denominator 10000.

= 5/10000

Simplify.

= 1/2000

6. Answer :

Since 1.3 is greater than 1, it can be converted to an improper fraction.

Since we have one digit after the decimal point in 1.3, we can write it as a fraction with denominator 10.

= 13/10

7. Answer :

Since 2.5 is greater than 1, it can be converted to an improper fraction.

Since we have one digit after the decimal point in 2.5, we can write it as a fraction with denominator 10.

= 25/10

Simplify.

= 5/2

8. Answer :

Since 1.75 is greater than 1, it can be converted to an improper fraction.

Since we have two digits after the decimal point in 1.75, we can write it as a fraction with denominator 100.

= 175/100

Simplify.

= 7/4

9. Answer :

Since 4.025 is greater than 1, it can be converted to an improper fraction.

Since we have three digits after the decimal point in 4.025, we can write it as a fraction with denominator 1000.

= 4025/1000

Simplify.

= 161/40

10. Answer :

Since 3.0005 is greater than 1, it can be converted to an improper fraction.

Since we have three digits after the decimal point in 3.0005, we can write it as a fraction with denominator 10000.

= 30005/10000

Simplify.

= 6001/2000

11. Answer :

Since 1.5 is greater than 1, it can be converted to a mixed number.

Write the given decimal number 1.5 as shown below.

1.5 = 1 + 0.5

Since we have one digit after the decimal point in 0.5, we can write it as a fraction with denominator 10.

= 1 + 5/10

Simplify.

= 1 + 1/2

= 1½

12. Answer :

Since 3.75 is greater than 1, it can be converted to a mixed number.

Write the given decimal number 3.75 as shown below.

3.75 = 3 + 0.75

Since we have two digits after the decimal point in 0.75, we can write it as a fraction with denominator 100.

= 3 + 75/100

Simplify.

= 3 + 3/4

= 3¾

13. Answer :

Since 9.045 is greater than 1, it can be converted to a mixed number.

Write the given decimal number 9.045 as shown below.

9.045 = 9 + 0.045

Since we have three digits after the decimal point in 0.045, we can write it as a fraction with denominator 1000.

= 9 + 45/1000

Simplify.

= 9 + 9/200

= 9⁹⁄₂₀₀

14. Answer :

Since 4.0085 is greater than 1, it can be converted to a mixed number.

Write the given decimal number 4.0085 as shown below.

4.0085 = 4 + 0.0085

Since we have four digits after the decimal point in 0.0085, we can write it as a fraction with denominator 10000.

= 4 + 85/10000

Simplify.

= 4 + 17/2000

= 4¹⁷⁄₂₀₀₀

15. Answer :

Since 5.0205 is greater than 1, it can be converted to a mixed number.

Write the given decimal number 5.0205 as shown below.

5.0205 = 5 + 0.0205

Since we have four digits after the decimal point in 0.0205, we can write it as a fraction with denominator 10000.

= 5 + 205/10000

Simplify.

= 5 + 41/2000

= 5⁴¹⁄₂₀₀₀

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