Decimals - Grade 4 Math Worksheets - Free Printable
Educational worksheet: Decimals - Grade 4 Math Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Decimals - Grade 4 Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Decimals - Grade 4 Math Worksheets
Let’s solve each problem step by step.
We are converting decimals to fractions. Here’s how:
- Look at the decimal part (after the dot).
- Count how many digits are after the decimal point.
- 1 digit → denominator is 10
- 2 digits → denominator is 100
- Write the whole number plus the fraction from the decimal part.
- Simplify if needed (but in this worksheet, we’ll leave as improper or mixed numbers unless told otherwise — but since it says “convert to fractions”, we can write as mixed numbers or improper fractions; I’ll use mixed numbers for clarity).
Let’s go one by one:
---
1. 3.4
→ 3 and 4 tenths → 3 + 4/10 = 3 4/10
Simplify: 4/10 = 2/5 → 3 2/5
But let’s check what the worksheet expects — probably just convert without simplifying? The problems don’t say “simplify”, so maybe keep as is? But usually, we simplify. Let me see other examples.
Actually, looking at the numbers, some have two decimal places — so better to be consistent.
Wait — perhaps they want improper fractions? Or mixed? Since it’s “fractions”, either is fine, but let’s do mixed numbers with simplified fractions where possible.
But to be safe, let’s follow standard practice: convert decimal to fraction, then simplify.
So:
1. 3.4 = 34/10 = 17/5 → or 3 2/5
I think for school level, mixed number is friendlier.
But let’s check problem 4: 62.82 → that’s 62 and 82/100 → which simplifies to 62 41/50.
Okay, I’ll do mixed numbers and simplify.
---
Let me redo all carefully:
---
1. 3.4
= 3 + 0.4 = 3 + 4/10 = 3 + 2/5 = 3 2/5
---
2. 8.5
= 8 + 5/10 = 8 + 1/2 = 8 1/2
---
3. 52.4
= 52 + 4/10 = 52 + 2/5 = 52 2/5
---
4. 62.82
= 62 + 82/100 → simplify 82/100: divide numerator and denominator by 2 → 41/50 → 62 41/50
---
5. 70.84
= 70 + 84/100 → simplify: divide by 4 → 21/25 → 70 21/25
---
6. 51.73
= 51 + 73/100 → 73 and 100 have no common factors → 51 73/100
---
7. 66.64
= 66 + 64/100 → simplify: divide by 4 → 16/25 → 66 16/25
---
8. 43.6
= 43 + 6/10 = 43 + 3/5 = 43 3/5
---
9. 55.6
= 55 + 6/10 = 55 + 3/5 = 55 3/5
---
10. 14.5
= 14 + 5/10 = 14 + 1/2 = 14 1/2
---
11. 96.24
= 96 + 24/100 → simplify: divide by 4 → 6/25 → 96 6/25
---
12. 46.5
= 46 + 5/10 = 46 + 1/2 = 46 1/2
---
13. 16.4
= 16 + 4/10 = 16 + 2/5 = 16 2/5
---
14. 97.5
= 97 + 5/10 = 97 + 1/2 = 97 1/2
---
15. 23.89
= 23 + 89/100 → 89 is prime, doesn’t divide 100 → 23 89/100
---
16. 14.3
= 14 + 3/10 → already simplified → 14 3/10
---
Now, let me double-check a few:
Problem 4: 62.82 → 82/100 = 41/50 ✔️
Problem 5: 70.84 → 84÷4=21, 100÷4=25 → 21/25 ✔️
Problem 7: 66.64 → 64÷4=16, 100÷4=25 → 16/25 ✔️
Problem 11: 96.24 → 24÷4=6, 100÷4=25 → 6/25 ✔️
All others look good.
Final Answer:
1. 3 2/5
2. 8 1/2
3. 52 2/5
4. 62 41/50
5. 70 21/25
6. 51 73/100
7. 66 16/25
8. 43 3/5
9. 55 3/5
10. 14 1/2
11. 96 6/25
12. 46 1/2
13. 16 2/5
14. 97 1/2
15. 23 89/100
16. 14 3/10
We are converting decimals to fractions. Here’s how:
- Look at the decimal part (after the dot).
- Count how many digits are after the decimal point.
- 1 digit → denominator is 10
- 2 digits → denominator is 100
- Write the whole number plus the fraction from the decimal part.
- Simplify if needed (but in this worksheet, we’ll leave as improper or mixed numbers unless told otherwise — but since it says “convert to fractions”, we can write as mixed numbers or improper fractions; I’ll use mixed numbers for clarity).
Let’s go one by one:
---
1. 3.4
→ 3 and 4 tenths → 3 + 4/10 = 3 4/10
Simplify: 4/10 = 2/5 → 3 2/5
But let’s check what the worksheet expects — probably just convert without simplifying? The problems don’t say “simplify”, so maybe keep as is? But usually, we simplify. Let me see other examples.
Actually, looking at the numbers, some have two decimal places — so better to be consistent.
Wait — perhaps they want improper fractions? Or mixed? Since it’s “fractions”, either is fine, but let’s do mixed numbers with simplified fractions where possible.
But to be safe, let’s follow standard practice: convert decimal to fraction, then simplify.
So:
1. 3.4 = 34/10 = 17/5 → or 3 2/5
I think for school level, mixed number is friendlier.
But let’s check problem 4: 62.82 → that’s 62 and 82/100 → which simplifies to 62 41/50.
Okay, I’ll do mixed numbers and simplify.
---
Let me redo all carefully:
---
1. 3.4
= 3 + 0.4 = 3 + 4/10 = 3 + 2/5 = 3 2/5
---
2. 8.5
= 8 + 5/10 = 8 + 1/2 = 8 1/2
---
3. 52.4
= 52 + 4/10 = 52 + 2/5 = 52 2/5
---
4. 62.82
= 62 + 82/100 → simplify 82/100: divide numerator and denominator by 2 → 41/50 → 62 41/50
---
5. 70.84
= 70 + 84/100 → simplify: divide by 4 → 21/25 → 70 21/25
---
6. 51.73
= 51 + 73/100 → 73 and 100 have no common factors → 51 73/100
---
7. 66.64
= 66 + 64/100 → simplify: divide by 4 → 16/25 → 66 16/25
---
8. 43.6
= 43 + 6/10 = 43 + 3/5 = 43 3/5
---
9. 55.6
= 55 + 6/10 = 55 + 3/5 = 55 3/5
---
10. 14.5
= 14 + 5/10 = 14 + 1/2 = 14 1/2
---
11. 96.24
= 96 + 24/100 → simplify: divide by 4 → 6/25 → 96 6/25
---
12. 46.5
= 46 + 5/10 = 46 + 1/2 = 46 1/2
---
13. 16.4
= 16 + 4/10 = 16 + 2/5 = 16 2/5
---
14. 97.5
= 97 + 5/10 = 97 + 1/2 = 97 1/2
---
15. 23.89
= 23 + 89/100 → 89 is prime, doesn’t divide 100 → 23 89/100
---
16. 14.3
= 14 + 3/10 → already simplified → 14 3/10
---
Now, let me double-check a few:
Problem 4: 62.82 → 82/100 = 41/50 ✔️
Problem 5: 70.84 → 84÷4=21, 100÷4=25 → 21/25 ✔️
Problem 7: 66.64 → 64÷4=16, 100÷4=25 → 16/25 ✔️
Problem 11: 96.24 → 24÷4=6, 100÷4=25 → 6/25 ✔️
All others look good.
Final Answer:
1. 3 2/5
2. 8 1/2
3. 52 2/5
4. 62 41/50
5. 70 21/25
6. 51 73/100
7. 66 16/25
8. 43 3/5
9. 55 3/5
10. 14 1/2
11. 96 6/25
12. 46 1/2
13. 16 2/5
14. 97 1/2
15. 23 89/100
16. 14 3/10
Parent Tip: Review the logic above to help your child master the concept of fractions and decimals worksheet 4th grade.
