To solve this problem, we need to fill in the missing values in the table by converting 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. $1 \div 10 = 0.1$.
*
Percentage: Multiply the decimal by 100. $0.1 \times 100 = 10\%$.
Row 2: Decimal is $0.2$
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Fraction: Write as $2/10$, which simplifies to $1/5$.
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Percentage: Move the decimal point two places to the right. $0.2 \rightarrow 20\%$.
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 by 100. $0.25 \times 100 = 25\%$.
Row 4: Percentage is $30\%$
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Decimal: Move the decimal point two places to the left. $30 \rightarrow 0.3$.
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Fraction: Write as $30/100$, which simplifies to $3/10$.
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 by 100. $0.4 \times 100 = 40\%$.
Row 6: Already filled ($1/2$, $0.5$, $50\%$)
Row 7: Percentage is $60\%$
*
Decimal: Move the decimal point two places to the left. $60 \rightarrow 0.6$.
*
Fraction: Write as $60/100$, which simplifies to $6/10$ or $3/5$.
Row 8: Decimal is $0.7$
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Fraction: Write as $7/10$.
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Percentage: Move the decimal point two places to the right. $0.7 \rightarrow 70\%$.
Row 9: Percentage is $75\%$
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Decimal: Move the decimal point two places to the left. $75 \rightarrow 0.75$.
*
Fraction: Write as $75/100$. Both numbers are divisible by 25. $75 \div 25 = 3$ and $100 \div 25 = 4$. So, the fraction is $3/4$.
Row 10: Fraction is $8/10$
*
Decimal: Divide 8 by 10. $8 \div 10 = 0.8$.
*
Percentage: Multiply by 100. $0.8 \times 100 = 80\%$.
*(Note: The fraction can also be simplified to $4/5$, but since the table gave $8/10$, keeping the decimal consistent with that is fine).*
Row 11: Decimal is $0.9$
*
Fraction: Write as $9/10$.
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Percentage: Move the decimal point two places to the right. $0.9 \rightarrow 90\%$.
Row 12: Fraction is $1/1$
*
Decimal: Divide 1 by 1. $1 \div 1 = 1$ (or $1.0$).
*
Percentage: Multiply by 100. $1 \times 100 = 100\%$.
Final Answer:
Here is the completed table with the missing values filled in:
| 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 fraction decimal percent worksheet.
