Printable worksheet for teaching decimal hundredths using shaded grids to represent fractions and decimals.

The worksheet provided is designed to help students understand and practice converting between fractions, decimals, and mixed numbers using grids that represent hundredths. Below, I will solve the problems step by step for each grid.

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Step 1: Understand the Grids

Each grid represents a whole divided into 100 equal parts (hundredths). A shaded part of the grid corresponds to a fraction of the whole. For example:
- If 25 squares are shaded, the fraction is \( \frac{25}{100} \).
- This can be simplified to \( \frac{1}{4} \).
- The decimal equivalent is 0.25.

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Step 2: Solve Each Problem

#### Top Row:
1. First Grid:
- Shaded squares: 17
- Fraction: \( \frac{17}{100} \)
- Decimal: 0.17

2. Second Grid:
- Shaded squares: 63
- Fraction: \( \frac{63}{100} \)
- Decimal: 0.63

3. Third Grid:
- Shaded squares: 89
- Fraction: \( \frac{89}{100} \)
- Decimal: 0.89

#### Middle Row:
4. Fourth Grid:
- Shaded squares: 40
- Fraction: \( \frac{40}{100} = \frac{2}{5} \) (simplified)
- Decimal: 0.40

5. Fifth Grid:
- Shaded squares: 14
- Fraction: \( \frac{14}{100} = \frac{7}{50} \) (simplified)
- Decimal: 0.14

6. Sixth Grid:
- Shaded squares: 55
- Fraction: \( \frac{55}{100} = \frac{11}{20} \) (simplified)
- Decimal: 0.55

#### Bottom Row:
7. Seventh Grid:
- Shaded squares: 75
- Mixed number: \( 0 \frac{75}{100} = \frac{3}{4} \) (simplified)
- Decimal: 0.75

8. Eighth Grid:
- Shaded squares: 90
- Mixed number: \( 0 \frac{90}{100} = \frac{9}{10} \) (simplified)
- Decimal: 0.90

9. Ninth Grid:
- Shaded squares: 1 (in the smaller grid)
- Mixed number: \( 1 \frac{1}{100} \)
- Decimal: 1.01

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Final Answers:

#### Top Row:
1. \( \frac{17}{100}, 0.17 \)
2. \( \frac{63}{100}, 0.63 \)
3. \( \frac{89}{100}, 0.89 \)

#### Middle Row:
4. \( \frac{2}{5}, 0.40 \)
5. \( \frac{7}{50}, 0.14 \)
6. \( \frac{11}{20}, 0.55 \)

#### Bottom Row:
7. \( \frac{3}{4}, 0.75 \)
8. \( \frac{9}{10}, 0.90 \)
9. \( 1 \frac{1}{100}, 1.01 \)

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Boxed Final Answer:

\[
\boxed{
\begin{array}{ccc}
\text{Top Row:} & \text{Middle Row:} & \text{Bottom Row:} \\
\frac{17}{100}, 0.17 & \frac{2}{5}, 0.40 & \frac{3}{4}, 0.75 \\
\frac{63}{100}, 0.63 & \frac{7}{50}, 0.14 & \frac{9}{10}, 0.90 \\
\frac{89}{100}, 0.89 & \frac{11}{20}, 0.55 & 1 \frac{1}{100}, 1.01 \\
\end{array}
}
\]