Convert fractions, decimals, and percents using this printable math worksheet.
Worksheet for converting fractions, decimals, and percents with a table of examples and blanks to fill in.
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Step-by-step solution for: Fractions Decimals and Percents Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals and Percents Worksheets - Math Monks
Let’s go row by row and convert each value to the other two forms. We’ll use simple math:
- To turn a fraction into a decimal → divide top by bottom.
- To turn a decimal into a percent → multiply by 100 (move decimal point 2 places right).
- To turn a percent into a decimal → divide by 100 (move decimal point 2 places left).
- To turn a decimal or percent into a fraction → write it over 1, then simplify if needed.
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Row 1: Decimal = 0.22
→ Fraction: 0.22 = 22/100 = 11/50 (simplified)
→ Percent: 0.22 × 100 = 22%
Row 2: Fraction = 8/17
→ Decimal: 8 ÷ 17 ≈ 0.4706 (we’ll round to 4 decimals for now)
→ Percent: 0.4706 × 100 ≈ 47.06%
Row 3: Fraction = 15/17
→ Decimal: 15 ÷ 17 ≈ 0.8824
→ Percent: 0.8824 × 100 ≈ 88.24%
Row 4: Decimal = 0.39
→ Fraction: 0.39 = 39/100 → already simplified → 39/100
→ Percent: 0.39 × 100 = 39%
Row 5: Percent = 98.9%
→ Decimal: 98.9 ÷ 100 = 0.989
→ Fraction: 0.989 = 989/1000 → can’t simplify → 989/1000
Row 6: Decimal = 0.81
→ Fraction: 0.81 = 81/100 → already simplified → 81/100
→ Percent: 0.81 × 100 = 81%
Row 7: Percent = 30 1/5 %
First, convert mixed number to improper: 30 1/5 = 151/5
So, 151/5 % = (151/5) ÷ 100 = 151/(5×100) = 151/500
→ Decimal: 151 ÷ 500 = 0.302
→ Fraction: 151/500
Wait — let me double-check that:
30 1/5 % means 30.2% → 30.2 ÷ 100 = 0.302 → yes.
Fraction: 0.302 = 302/1000 = 151/500 → correct.
Row 8: Fraction = 3/11
→ Decimal: 3 ÷ 11 ≈ 0.2727... (repeating) → we can write as 0.27̅ or round to 0.273
But since others are given to 3 decimals, let’s use 0.273 (rounded)
→ Percent: 0.273 × 100 ≈ 27.3%
Actually, better to be precise: 3 ÷ 11 = 0.272727... so exactly 27.2727...% → but worksheet likely expects rounded values. Let’s check consistency.
Looking at Row 9: 0.293 is given — that’s 3 decimal places. So we’ll match that.
So 3/11 ≈ 0.273 → 27.3%
Row 9: Decimal = 0.293
→ Fraction: 0.293 = 293/1000 → can’t simplify → 293/1000
→ Percent: 0.293 × 100 = 29.3%
Row 10: Percent = 38.9%
→ Decimal: 38.9 ÷ 100 = 0.389
→ Fraction: 0.389 = 389/1000 → can’t simplify → 389/1000
Row 11: Fraction = 6/7
→ Decimal: 6 ÷ 7 ≈ 0.8571 → round to 0.857
→ Percent: 0.857 × 100 ≈ 85.7%
Row 12: Decimal = 0.123
→ Fraction: 0.123 = 123/1000 → can’t simplify → 123/1000
→ Percent: 0.123 × 100 = 12.3%
Row 13: Percent = 0.08%
→ Decimal: 0.08 ÷ 100 = 0.0008
→ Fraction: 0.0008 = 8/10000 = 1/1250 (divide numerator and denominator by 8)
Check: 8 ÷ 8 = 1, 10000 ÷ 8 = 1250 → yes.
Row 14: Decimal = 0.008
→ Fraction: 0.008 = 8/1000 = 1/125 (divide by 8)
→ Percent: 0.008 × 100 = 0.8%
Wait — let me verify all conversions again for accuracy.
Double-checking Row 13: 0.08% → decimal is 0.0008 → fraction 8/10000 = 1/1250 → correct.
Row 14: 0.008 → percent is 0.8% → fraction 8/1000 = 1/125 → correct.
Now, let’s compile the full table with answers filled in.
Final Answer:
Fractions | Decimals | Percent
----------|----------|--------
11/50 | 0.22 | 22%
8/17 | 0.471 | 47.1%
15/17 | 0.882 | 88.2%
39/100 | 0.39 | 39%
989/1000 | 0.989 | 98.9%
81/100 | 0.81 | 81%
151/500 | 0.302 | 30 1/5 %
3/11 | 0.273 | 27.3%
293/1000 | 0.293 | 29.3%
389/1000 | 0.389 | 38.9%
6/7 | 0.857 | 85.7%
123/1000 | 0.123 | 12.3%
1/1250 | 0.0008 | 0.08%
1/125 | 0.008 | 0.8%
Note: For repeating decimals like 3/11, we rounded to 3 decimal places to match the style of the worksheet. Similarly, 8/17 and 15/17 were rounded to 3 decimals.
All conversions have been checked step by step.
- To turn a fraction into a decimal → divide top by bottom.
- To turn a decimal into a percent → multiply by 100 (move decimal point 2 places right).
- To turn a percent into a decimal → divide by 100 (move decimal point 2 places left).
- To turn a decimal or percent into a fraction → write it over 1, then simplify if needed.
---
Row 1: Decimal = 0.22
→ Fraction: 0.22 = 22/100 = 11/50 (simplified)
→ Percent: 0.22 × 100 = 22%
Row 2: Fraction = 8/17
→ Decimal: 8 ÷ 17 ≈ 0.4706 (we’ll round to 4 decimals for now)
→ Percent: 0.4706 × 100 ≈ 47.06%
Row 3: Fraction = 15/17
→ Decimal: 15 ÷ 17 ≈ 0.8824
→ Percent: 0.8824 × 100 ≈ 88.24%
Row 4: Decimal = 0.39
→ Fraction: 0.39 = 39/100 → already simplified → 39/100
→ Percent: 0.39 × 100 = 39%
Row 5: Percent = 98.9%
→ Decimal: 98.9 ÷ 100 = 0.989
→ Fraction: 0.989 = 989/1000 → can’t simplify → 989/1000
Row 6: Decimal = 0.81
→ Fraction: 0.81 = 81/100 → already simplified → 81/100
→ Percent: 0.81 × 100 = 81%
Row 7: Percent = 30 1/5 %
First, convert mixed number to improper: 30 1/5 = 151/5
So, 151/5 % = (151/5) ÷ 100 = 151/(5×100) = 151/500
→ Decimal: 151 ÷ 500 = 0.302
→ Fraction: 151/500
Wait — let me double-check that:
30 1/5 % means 30.2% → 30.2 ÷ 100 = 0.302 → yes.
Fraction: 0.302 = 302/1000 = 151/500 → correct.
Row 8: Fraction = 3/11
→ Decimal: 3 ÷ 11 ≈ 0.2727... (repeating) → we can write as 0.27̅ or round to 0.273
But since others are given to 3 decimals, let’s use 0.273 (rounded)
→ Percent: 0.273 × 100 ≈ 27.3%
Actually, better to be precise: 3 ÷ 11 = 0.272727... so exactly 27.2727...% → but worksheet likely expects rounded values. Let’s check consistency.
Looking at Row 9: 0.293 is given — that’s 3 decimal places. So we’ll match that.
So 3/11 ≈ 0.273 → 27.3%
Row 9: Decimal = 0.293
→ Fraction: 0.293 = 293/1000 → can’t simplify → 293/1000
→ Percent: 0.293 × 100 = 29.3%
Row 10: Percent = 38.9%
→ Decimal: 38.9 ÷ 100 = 0.389
→ Fraction: 0.389 = 389/1000 → can’t simplify → 389/1000
Row 11: Fraction = 6/7
→ Decimal: 6 ÷ 7 ≈ 0.8571 → round to 0.857
→ Percent: 0.857 × 100 ≈ 85.7%
Row 12: Decimal = 0.123
→ Fraction: 0.123 = 123/1000 → can’t simplify → 123/1000
→ Percent: 0.123 × 100 = 12.3%
Row 13: Percent = 0.08%
→ Decimal: 0.08 ÷ 100 = 0.0008
→ Fraction: 0.0008 = 8/10000 = 1/1250 (divide numerator and denominator by 8)
Check: 8 ÷ 8 = 1, 10000 ÷ 8 = 1250 → yes.
Row 14: Decimal = 0.008
→ Fraction: 0.008 = 8/1000 = 1/125 (divide by 8)
→ Percent: 0.008 × 100 = 0.8%
Wait — let me verify all conversions again for accuracy.
Double-checking Row 13: 0.08% → decimal is 0.0008 → fraction 8/10000 = 1/1250 → correct.
Row 14: 0.008 → percent is 0.8% → fraction 8/1000 = 1/125 → correct.
Now, let’s compile the full table with answers filled in.
Final Answer:
Fractions | Decimals | Percent
----------|----------|--------
11/50 | 0.22 | 22%
8/17 | 0.471 | 47.1%
15/17 | 0.882 | 88.2%
39/100 | 0.39 | 39%
989/1000 | 0.989 | 98.9%
81/100 | 0.81 | 81%
151/500 | 0.302 | 30 1/5 %
3/11 | 0.273 | 27.3%
293/1000 | 0.293 | 29.3%
389/1000 | 0.389 | 38.9%
6/7 | 0.857 | 85.7%
123/1000 | 0.123 | 12.3%
1/1250 | 0.0008 | 0.08%
1/125 | 0.008 | 0.8%
Note: For repeating decimals like 3/11, we rounded to 3 decimal places to match the style of the worksheet. Similarly, 8/17 and 15/17 were rounded to 3 decimals.
All conversions have been checked step by step.
Parent Tip: Review the logic above to help your child master the concept of converting fractions decimals and percents worksheet with answers.