To solve this table, we need to convert between fractions, decimals, and percentages. Here is the step-by-step logic for each row:
Row 1: Fraction is 1/10
*
Decimal: Divide 1 by 10. $1 \div 10 = 0.1$
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Percentage: Multiply the decimal by 100. $0.1 \times 100 = 10\%$
Row 2: Decimal is 0.2
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Fraction: 0.2 is 2 tenths, or $2/10$. Simplify by dividing top and bottom by 2: $1/5$.
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Percentage: Multiply 0.2 by 100. $0.2 \times 100 = 20\%$
Row 3: Fraction is 1/4
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Decimal: Divide 1 by 4. $1 \div 4 = 0.25$
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Percentage: Multiply 0.25 by 100. $0.25 \times 100 = 25\%$
Row 4: Percentage is 30%
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Decimal: Divide by 100. $30 \div 100 = 0.3$
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Fraction: 30/100. Simplify by dividing top and bottom by 10: $3/10$
Row 5: Fraction is 2/5
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Decimal: Divide 2 by 5. $2 \div 5 = 0.4$
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Percentage: Multiply 0.4 by 100. $0.4 \times 100 = 40\%$
Row 6: Already complete (1/2, 0.5, 50%)
Row 7: Percentage is 60%
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Decimal: Divide by 100. $60 \div 100 = 0.6$
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Fraction: 60/100. Simplify by dividing top and bottom by 20: $3/5$
Row 8: Decimal is 0.7
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Fraction: 7 tenths, or $7/10$. This cannot be simplified further.
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Percentage: Multiply 0.7 by 100. $0.7 \times 100 = 70\%$
Row 9: Percentage is 75%
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Decimal: Divide by 100. $75 \div 100 = 0.75$
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Fraction: 75/100. Simplify by dividing top and bottom by 25: $3/4$
Row 10: Fraction is 8/10
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Decimal: Divide 8 by 10. $8 \div 10 = 0.8$
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Percentage: Multiply 0.8 by 100. $0.8 \times 100 = 80\%$
*(Note: The fraction can also be simplified to 4/5, but since the prompt gave 8/10, we stick with that value for conversion).*
Row 11: Decimal is 0.9
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Fraction: 9 tenths, or $9/10$.
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Percentage: Multiply 0.9 by 100. $0.9 \times 100 = 90\%$
Row 12: Fraction is 1/1
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Decimal: Divide 1 by 1. $1 \div 1 = 1.0$ (or just 1)
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Percentage: Multiply 1 by 100. $1 \times 100 = 100\%$
Final Answer:
Here is the completed table data:
| Fractions | Decimals | Percentages |
| :--- | :--- | :--- |
| 1/10 |
0.1 |
10% |
|
1/5 | 0.2 |
20% |
| 1/4 |
0.25 |
25% |
|
3/10 |
0.3 | 30% |
| 2/5 |
0.4 |
40% |
| 1/2 | 0.5 | 50% |
|
3/5 |
0.6 | 60% |
|
7/10 | 0.7 |
70% |
|
3/4 |
0.75 | 75% |
| 8/10 |
0.8 |
80% |
|
9/10 | 0.9 |
90% |
| 1/1 |
1 |
100% |
Parent Tip: Review the logic above to help your child master the concept of percentage decimal fraction worksheet.
