Grade 6 Decimal Worksheets | Free Printables | Math Worksheets - Free Printable

Let's solve each problem step by step, converting decimals to fractions and simplifying where needed.

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How to Convert Decimals to Fractions:

1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).

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Solutions:

#### 1. 0.12
- 0.12 = 12/100
- Simplify: GCD of 12 and 100 is 4 → 12 ÷ 4 = 3, 100 ÷ 4 = 25
- Answer: 3/25

#### 2. 0.15
- 0.15 = 15/100
- GCD of 15 and 100 is 5 → 15 ÷ 5 = 3, 100 ÷ 5 = 20
- Answer: 3/20

#### 3. 0.45
- 0.45 = 45/100
- GCD of 45 and 100 is 5 → 45 ÷ 5 = 9, 100 ÷ 5 = 20
- Answer: 9/20

#### 4. 0.01
- 0.01 = 1/100
- Already simplified.
- Answer: 1/100

#### 5. 0.04
- 0.04 = 4/100
- GCD of 4 and 100 is 4 → 4 ÷ 4 = 1, 100 ÷ 4 = 25
- Answer: 1/25

#### 6. 0.77
- 0.77 = 77/100
- GCD of 77 and 100 is 1 → already simplified
- Answer: 77/100

#### 7. 0.16
- 0.16 = 16/100
- GCD of 16 and 100 is 4 → 16 ÷ 4 = 4, 100 ÷ 4 = 25
- Answer: 4/25

#### 8. 0.07
- 0.07 = 7/100
- Already simplified.
- Answer: 7/100

#### 9. 0.63
- 0.63 = 63/100
- GCD of 63 and 100 is 1 → already simplified
- Answer: 63/100

#### 10. 0.19
- 0.19 = 19/100
- Already simplified.
- Answer: 19/100

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Now for decimals with whole numbers (like 1.3, 6.2, etc.), we separate the whole number and convert the decimal part.

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#### 11. 1.3
- 1.3 = 1 + 0.3 = 1 + 3/10 = 1 3/10 or 13/10 (as improper fraction)
- Usually, mixed number is acceptable unless specified otherwise.
- Answer: 1 3/10

#### 12. 6.2
- 6.2 = 6 + 0.2 = 6 + 2/10 = 6 + 1/5 = 6 1/5
- Answer: 6 1/5

#### 13. 3.5
- 3.5 = 3 + 0.5 = 3 + 1/2 = 3 1/2
- Answer: 3 1/2

#### 14. 2.1
- 2.1 = 2 + 0.1 = 2 + 1/10 = 2 1/10
- Answer: 2 1/10

#### 15. 1.8
- 1.8 = 1 + 0.8 = 1 + 8/10 = 1 + 4/5 = 1 4/5
- Answer: 1 4/5

#### 16. 1.5
- 1.5 = 1 + 0.5 = 1 + 1/2 = 1 1/2
- Answer: 1 1/2

#### 17. 4.5
- 4.5 = 4 + 0.5 = 4 + 1/2 = 4 1/2
- Answer: 4 1/2

#### 18. 2.7
- 2.7 = 2 + 0.7 = 2 + 7/10 = 2 7/10
- Answer: 2 7/10

#### 19. 5.5
- 5.5 = 5 + 0.5 = 5 + 1/2 = 5 1/2
- Answer: 5 1/2

#### 20. 2.3
- 2.3 = 2 + 0.3 = 2 + 3/10 = 2 3/10
- Answer: 2 3/10

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✔ Final Answers:

1. 0.12 = 3/25
2. 0.15 = 3/20
3. 0.45 = 9/20
4. 0.01 = 1/100
5. 0.04 = 1/25
6. 0.77 = 77/100
7. 0.16 = 4/25
8. 0.07 = 7/100
9. 0.63 = 63/100
10. 0.19 = 19/100
11. 1.3 = 1 3/10
12. 6.2 = 6 1/5
13. 3.5 = 3 1/2
14. 2.1 = 2 1/10
15. 1.8 = 1 4/5
16. 1.5 = 1 1/2
17. 4.5 = 4 1/2
18. 2.7 = 2 7/10
19. 5.5 = 5 1/2
20. 2.3 = 2 3/10

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✔ All answers are simplified and in proper form (either simplified fractions or mixed numbers). Let me know if you'd like them all as improper fractions instead!