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Grade 5 decimals worksheet for converting mixed numbers to decimals.

Mixed numbers to decimals worksheet for Grade 5 students, featuring 18 conversion problems from mixed numbers to decimals.

Mixed numbers to decimals worksheet for Grade 5 students, featuring 18 conversion problems from mixed numbers to decimals.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 math worksheet - Fractions: convert mixed numbers to ...
Let’s solve each problem step by step. We’re converting mixed numbers (like 58 5/10) into decimals.

Remember:
A mixed number has a whole number and a fraction.
To convert to decimal, keep the whole number as is, then turn the fraction into a decimal by dividing the top by the bottom — or just move the decimal point if the denominator is 10 or 100.

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Rule for denominators:
- If denominator is 10, put the numerator in the tenths place → e.g., 5/10 = 0.5
- If denominator is 100, put the numerator in the hundredths place → e.g., 87/100 = 0.87

Now let’s go one by one:

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1. 58 5/10
Whole number: 58
Fraction: 5/10 = 0.5
→ 58 + 0.5 = 58.5

2. 26 87/100
Whole number: 26
Fraction: 87/100 = 0.87
→ 26 + 0.87 = 26.87

3. 38 7/10
Whole number: 38
Fraction: 7/10 = 0.7
→ 38 + 0.7 = 38.7

4. 85 5/100
Whole number: 85
Fraction: 5/100 = 0.05
→ 85 + 0.05 = 85.05

5. 22 1/10
Whole number: 22
Fraction: 1/10 = 0.1
→ 22 + 0.1 = 22.1

6. 25 47/100
Whole number: 25
Fraction: 47/100 = 0.47
→ 25 + 0.47 = 25.47

7. 92 2/10
Whole number: 92
Fraction: 2/10 = 0.2
→ 92 + 0.2 = 92.2

8. 24 5/10
Whole number: 24
Fraction: 5/10 = 0.5
→ 24 + 0.5 = 24.5

9. 25 46/100
Whole number: 25
Fraction: 46/100 = 0.46
→ 25 + 0.46 = 25.46

10. 81 5/10
Whole number: 81
Fraction: 5/10 = 0.5
→ 81 + 0.5 = 81.5

11. 17 12/100
Whole number: 17
Fraction: 12/100 = 0.12
→ 17 + 0.12 = 17.12

12. 98 5/10
Whole number: 98
Fraction: 5/10 = 0.5
→ 98 + 0.5 = 98.5

13. 56 24/100
Whole number: 56
Fraction: 24/100 = 0.24
→ 56 + 0.24 = 56.24

14. 50 38/100
Whole number: 50
Fraction: 38/100 = 0.38
→ 50 + 0.38 = 50.38

15. 78 8/10
Whole number: 78
Fraction: 8/10 = 0.8
→ 78 + 0.8 = 78.8

16. 47 2/10
Whole number: 47
Fraction: 2/10 = 0.2
→ 47 + 0.2 = 47.2

17. 30 36/100
Whole number: 30
Fraction: 36/100 = 0.36
→ 30 + 0.36 = 30.36

18. 63 70/100
Whole number: 63
Fraction: 70/100 = 0.70 → which is same as 0.7
→ 63 + 0.7 = 63.7

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Final Answer:
1. 58.5
2. 26.87
3. 38.7
4. 85.05
5. 22.1
6. 25.47
7. 92.2
8. 24.5
9. 25.46
10. 81.5
11. 17.12
12. 98.5
13. 56.24
14. 50.38
15. 78.8
16. 47.2
17. 30.36
18. 63.7
Parent Tip: Review the logic above to help your child master the concept of mixed decimal operations worksheet.
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