Fraction, Decimal & Percent (Visual) worksheet with 11 problems using visual models to convert between fractions, decimals, and percents.

To solve the problem, we need to analyze each grid and determine the fraction, decimal, and percent representation of the shaded area. Let's go through each question step by step.

1)

- Grid: The grid is divided into 10 equal vertical sections, and 6 are shaded.
- Fraction: Since 6 out of 10 sections are shaded, the fraction is:
\[
\frac{6}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{6}{10} = 0.6
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.6 \times 100 = 60\%
\]

Answer:
\[
\text{Fraction: } \frac{6}{10}, \text{ Decimal: } 0.6, \text{ Percent: } 60\%
\]

2)

- Grid: The grid is divided into 10 equal vertical sections, and 8 are shaded.
- Fraction: Since 8 out of 10 sections are shaded, the fraction is:
\[
\frac{8}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{8}{10} = 0.8
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.8 \times 100 = 80\%
\]

Answer:
\[
\text{Fraction: } \frac{8}{10}, \text{ Decimal: } 0.8, \text{ Percent: } 80\%
\]

3)

- Grid: The grid is divided into 10 equal vertical sections, and 4 are shaded.
- Fraction: Since 4 out of 10 sections are shaded, the fraction is:
\[
\frac{4}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{4}{10} = 0.4
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.4 \times 100 = 40\%
\]

Answer:
\[
\text{Fraction: } \frac{4}{10}, \text{ Decimal: } 0.4, \text{ Percent: } 40\%
\]

4)

- Grid: The grid is divided into 100 equal small squares, and 5 are shaded.
- Fraction: Since 5 out of 100 squares are shaded, the fraction is:
\[
\frac{5}{100}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{5}{100} = 0.05
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.05 \times 100 = 5\%
\]

Answer:
\[
\text{Fraction: } \frac{5}{100}, \text{ Decimal: } 0.05, \text{ Percent: } 5\%
\]

5)

- Grid: The grid is divided into 100 equal small squares, and 30 are shaded.
- Fraction: Since 30 out of 100 squares are shaded, the fraction is:
\[
\frac{30}{100}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{30}{100} = 0.3
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.3 \times 100 = 30\%
\]

Answer:
\[
\text{Fraction: } \frac{30}{100}, \text{ Decimal: } 0.3, \text{ Percent: } 30\%
\]

6)

- Grid: The grid is divided into 10 equal horizontal sections, and 7 are shaded.
- Fraction: Since 7 out of 10 sections are shaded, the fraction is:
\[
\frac{7}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{7}{10} = 0.7
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.7 \times 100 = 70\%
\]

Answer:
\[
\text{Fraction: } \frac{7}{10}, \text{ Decimal: } 0.7, \text{ Percent: } 70\%
\]

7)

- Grid: The grid is divided into 10 equal vertical sections, and 3 are shaded.
- Fraction: Since 3 out of 10 sections are shaded, the fraction is:
\[
\frac{3}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{3}{10} = 0.3
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.3 \times 100 = 30\%
\]

Answer:
\[
\text{Fraction: } \frac{3}{10}, \text{ Decimal: } 0.3, \text{ Percent: } 30\%
\]

8)

- Grid: The grid is divided into 10 equal horizontal sections, and 4 are shaded.
- Fraction: Since 4 out of 10 sections are shaded, the fraction is:
\[
\frac{4}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{4}{10} = 0.4
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.4 \times 100 = 40\%
\]

Answer:
\[
\text{Fraction: } \frac{4}{10}, \text{ Decimal: } 0.4, \text{ Percent: } 40\%
\]

9)

- Grid: The grid is divided into 10 equal horizontal sections, and 9 are shaded.
- Fraction: Since 9 out of 10 sections are shaded, the fraction is:
\[
\frac{9}{10}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{9}{10} = 0.9
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.9 \times 100 = 90\%
\]

Answer:
\[
\text{Fraction: } \frac{9}{10}, \text{ Decimal: } 0.9, \text{ Percent: } 90\%
\]

10)

- Grid: The grid is divided into 100 equal small squares, and 75 are shaded.
- Fraction: Since 75 out of 100 squares are shaded, the fraction is:
\[
\frac{75}{100}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{75}{100} = 0.75
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.75 \times 100 = 75\%
\]

Answer:
\[
\text{Fraction: } \frac{75}{100}, \text{ Decimal: } 0.75, \text{ Percent: } 75\%
\]

11)

- Grid: The grid is divided into 100 equal small squares, and 25 are shaded.
- Fraction: Since 25 out of 100 squares are shaded, the fraction is:
\[
\frac{25}{100}
\]
- Decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
\[
\frac{25}{100} = 0.25
\]
- Percent: To convert the decimal to a percent, multiply by 100:
\[
0.25 \times 100 = 25\%
\]

Answer:
\[
\text{Fraction: } \frac{25}{100}, \text{ Decimal: } 0.25, \text{ Percent: } 25\%
\]

Final Answers:

\[
\boxed{
\begin{array}{ccc}
1) & \text{Fraction: } \frac{6}{10}, \text{ Decimal: } 0.6, \text{ Percent: } 60\% \\
2) & \text{Fraction: } \frac{8}{10}, \text{ Decimal: } 0.8, \text{ Percent: } 80\% \\
3) & \text{Fraction: } \frac{4}{10}, \text{ Decimal: } 0.4, \text{ Percent: } 40\% \\
4) & \text{Fraction: } \frac{5}{100}, \text{ Decimal: } 0.05, \text{ Percent: } 5\% \\
5) & \text{Fraction: } \frac{30}{100}, \text{ Decimal: } 0.3, \text{ Percent: } 30\% \\
6) & \text{Fraction: } \frac{7}{10}, \text{ Decimal: } 0.7, \text{ Percent: } 70\% \\
7) & \text{Fraction: } \frac{3}{10}, \text{ Decimal: } 0.3, \text{ Percent: } 30\% \\
8) & \text{Fraction: } \frac{4}{10}, \text{ Decimal: } 0.4, \text{ Percent: } 40\% \\
9) & \text{Fraction: } \frac{9}{10}, \text{ Decimal: } 0.9, \text{ Percent: } 90\% \\
10) & \text{Fraction: } \frac{75}{100}, \text{ Decimal: } 0.75, \text{ Percent: } 75\% \\
11) & \text{Fraction: } \frac{25}{100}, \text{ Decimal: } 0.25, \text{ Percent: } 25\% \\
\end{array}
}
\]