Fractions Greater than One (solutions, examples, videos ... - Free Printable

Problem Analysis

The task involves analyzing images where each figure represents 1 whole. We need to determine:
1. The unit fraction (the fraction that represents one part of the whole).
2. The total number of units shaded.
3. The fraction shaded (total shaded units expressed as a fraction).

Let's solve each part step by step.

---

Part b:

- Image Description: Each square is divided into 8 smaller squares, and all 15 smaller squares are shaded.
- Unit Fraction: Since each large square is divided into 8 smaller squares, the unit fraction is \( \frac{1}{8} \).
- Total Number of Units Shaded: There are 15 smaller squares shaded.
- Fraction Shaded: The total fraction shaded is \( \frac{15}{8} \).

This part is already filled in the table:
- Unit Fraction: \( \frac{1}{8} \)
- Total Number of Units Shaded: 15
- Fraction Shaded: \( \frac{15}{8} \)

---

Part c:

- Image Description: Each rectangle is divided into 4 smaller rectangles, and there are 7 smaller rectangles shaded.
- Unit Fraction: Since each large rectangle is divided into 4 smaller rectangles, the unit fraction is \( \frac{1}{4} \).
- Total Number of Units Shaded: There are 7 smaller rectangles shaded.
- Fraction Shaded: The total fraction shaded is \( \frac{7}{4} \).

Filled Table for Part c:
- Unit Fraction: \( \frac{1}{4} \)
- Total Number of Units Shaded: 7
- Fraction Shaded: \( \frac{7}{4} \)

---

Part d:

- Image Description: Each rectangle is divided into 6 smaller rectangles, and there are 9 smaller rectangles shaded.
- Unit Fraction: Since each large rectangle is divided into 6 smaller rectangles, the unit fraction is \( \frac{1}{6} \).
- Total Number of Units Shaded: There are 9 smaller rectangles shaded.
- Fraction Shaded: The total fraction shaded is \( \frac{9}{6} \), which simplifies to \( \frac{3}{2} \).

Filled Table for Part d:
- Unit Fraction: \( \frac{1}{6} \)
- Total Number of Units Shaded: 9
- Fraction Shaded: \( \frac{3}{2} \)

---

Part e:

- Image Description: Each diamond is divided into 2 smaller diamonds, and there are 5 smaller diamonds shaded.
- Unit Fraction: Since each large diamond is divided into 2 smaller diamonds, the unit fraction is \( \frac{1}{2} \).
- Total Number of Units Shaded: There are 5 smaller diamonds shaded.
- Fraction Shaded: The total fraction shaded is \( \frac{5}{2} \).

Filled Table for Part e:
- Unit Fraction: \( \frac{1}{2} \)
- Total Number of Units Shaded: 5
- Fraction Shaded: \( \frac{5}{2} \)

---

Part f:

- Image Description: Each rectangle is divided into 3 smaller rectangles, and there are 8 smaller rectangles shaded.
- Unit Fraction: Since each large rectangle is divided into 3 smaller rectangles, the unit fraction is \( \frac{1}{3} \).
- Total Number of Units Shaded: There are 8 smaller rectangles shaded.
- Fraction Shaded: The total fraction shaded is \( \frac{8}{3} \).

Filled Table for Part f:
- Unit Fraction: \( \frac{1}{3} \)
- Total Number of Units Shaded: 8
- Fraction Shaded: \( \frac{8}{3} \)

---

Final Answer

The completed table is as follows:

| | Unit Fraction | Total Number of Units Shaded | Fraction Shaded |
|---|---------------|-------------------------------|------------------|
| a. Sample: | \( \frac{1}{2} \) | 5 | \( \frac{5}{2} \) |
| b. | \( \frac{1}{8} \) | 15 | \( \frac{15}{8} \) |
| c. | \( \frac{1}{4} \) | 7 | \( \frac{7}{4} \) |
| d. | \( \frac{1}{6} \) | 9 | \( \frac{3}{2} \) |
| e. | \( \frac{1}{2} \) | 5 | \( \frac{5}{2} \) |
| f. | \( \frac{1}{3} \) | 8 | \( \frac{8}{3} \) |

\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{Unit Fraction} & \text{Total Number of Units Shaded} & \text{Fraction Shaded} \\
\hline
\text{a. Sample:} & \frac{1}{2} & 5 & \frac{5}{2} \\
\hline
\text{b.} & \frac{1}{8} & 15 & \frac{15}{8} \\
\hline
\text{c.} & \frac{1}{4} & 7 & \frac{7}{4} \\
\hline
\text{d.} & \frac{1}{6} & 9 & \frac{3}{2} \\
\hline
\text{e.} & \frac{1}{2} & 5 & \frac{5}{2} \\
\hline
\text{f.} & \frac{1}{3} & 8 & \frac{8}{3} \\
\hline
\end{array}
}