Here are the step-by-step solutions for each problem on the worksheet.
1)
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Visual: The square is divided into 10 vertical strips. 7 of them are shaded pink.
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Fraction: 7 out of 10 parts = $\frac{7}{10}$
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Decimal: $\frac{7}{10} = 0.7$
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Percent: $0.7 \times 100 = 70\%$
2)
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Visual: The square is divided into 10 vertical strips. 6 of them are shaded blue.
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Fraction: 6 out of 10 parts = $\frac{6}{10}$ (This can be simplified to $\frac{3}{5}$, but $\frac{6}{10}$ is fine).
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Decimal: $\frac{6}{10} = 0.6$
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Percent: $0.6 \times 100 = 60\%$
3)
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Visual: The square is divided into 10 vertical strips. 1 of them is shaded purple.
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Fraction: 1 out of 10 parts = $\frac{1}{10}$
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Decimal: $\frac{1}{10} = 0.1$
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Percent: $0.1 \times 100 = 10\%$
4)
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Visual: The grid has 100 small squares ($10 \times 10$). 9 of them are shaded green.
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Fraction: 9 out of 100 parts = $\frac{9}{100}$
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Decimal: $\frac{9}{100} = 0.09$
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Percent: $0.09 \times 100 = 9\%$
5)
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Visual: The grid has 100 small squares. There are 3 full columns (30) plus 3 extra squares in the next column. Total = 33 shaded squares.
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Fraction: 33 out of 100 parts = $\frac{33}{100}$
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Decimal: $\frac{33}{100} = 0.33$
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Percent: $0.33 \times 100 = 33\%$
6)
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Visual: The square is divided into 10 horizontal strips. 6 of them are shaded yellow/gold.
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Fraction: 6 out of 10 parts = $\frac{6}{10}$ (Simplifies to $\frac{3}{5}$)
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Decimal: $\frac{6}{10} = 0.6$
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Percent: $0.6 \times 100 = 60\%$
7)
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Visual: The square is divided into 10 vertical strips. 2 of them are shaded orange.
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Fraction: 2 out of 10 parts = $\frac{2}{10}$ (Simplifies to $\frac{1}{5}$)
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Decimal: $\frac{2}{10} = 0.2$
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Percent: $0.2 \times 100 = 20\%$
8)
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Visual: The square is divided into 10 horizontal strips. 2 of them are shaded light blue.
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Fraction: 2 out of 10 parts = $\frac{2}{10}$ (Simplifies to $\frac{1}{5}$)
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Decimal: $\frac{2}{10} = 0.2$
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Percent: $0.2 \times 100 = 20\%$
9)
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Visual: The square is divided into 10 horizontal strips. 6 of them are shaded dark blue.
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Fraction: 6 out of 10 parts = $\frac{6}{10}$ (Simplifies to $\frac{3}{5}$)
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Decimal: $\frac{6}{10} = 0.6$
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Percent: $0.6 \times 100 = 60\%$
10)
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Visual: The grid has 100 small squares. There are 8 full columns (80) plus 2 extra squares in the next column. Total = 82 shaded squares.
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Fraction: 82 out of 100 parts = $\frac{82}{100}$ (Simplifies to $\frac{41}{50}$)
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Decimal: $\frac{82}{100} = 0.82$
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Percent: $0.82 \times 100 = 82\%$
11)
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Visual: The grid has 100 small squares. There are 7 full columns (70) plus 3 extra squares in the next column. Total = 73 shaded squares.
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Fraction: 73 out of 100 parts = $\frac{73}{100}$
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Decimal: $\frac{73}{100} = 0.73$
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Percent: $0.73 \times 100 = 73\%$
Final Answer:
1) fraction: 7/10, decimal: 0.7, percent: 70%
2) fraction: 6/10, decimal: 0.6, percent: 60%
3) fraction: 1/10, decimal: 0.1, percent: 10%
4) fraction: 9/100, decimal: 0.09, percent: 9%
5) fraction: 33/100, decimal: 0.33, percent: 33%
6) fraction: 6/10, decimal: 0.6, percent: 60%
7) fraction: 2/10, decimal: 0.2, percent: 20%
8) fraction: 2/10, decimal: 0.2, percent: 20%
9) fraction: 6/10, decimal: 0.6, percent: 60%
10) fraction: 82/100, decimal: 0.82, percent: 82%
11) fraction: 73/100, decimal: 0.73, percent: 73%
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet pdf.