Dividing Unit Fractions (Visual) worksheet featuring 12 problems that teach students to divide unit fractions by whole numbers using visual models.

Let's solve the problem step by step using visual reasoning and mathematical understanding of dividing unit fractions by whole numbers.

---

🔍 Understanding the Concept:

We are dividing a unit fraction (like $ \frac{1}{3}, \frac{1}{4} $, etc.) by a whole number.

For example:
$$
\frac{1}{3} \div 4 = ?
$$

This means: *If you have one-third of a whole, and you divide that third into 4 equal parts, how big is each part?*

Visually, this can be shown by:

1. Starting with a whole.
2. Dividing it into 3 equal parts (to get $ \frac{1}{3} $).
3. Then taking just one of those thirds and splitting it into 4 equal pieces.
4. Each small piece is $ \frac{1}{12} $ of the original whole.

So:
$$
\frac{1}{3} \div 4 = \frac{1}{12}
$$

In general:
$$
\frac{1}{a} \div b = \frac{1}{a \times b}
$$

---

Now let’s solve each problem:

---

✔ Solutions with Explanation

#### 1) $ \frac{1}{3} \div 3 = ? $
- Divide $ \frac{1}{3} $ into 3 parts → each part is $ \frac{1}{9} $
- So: $ \frac{1}{3} \div 3 = \frac{1}{9} $

✔ Answer: $ \boxed{\frac{1}{9}} $

---

#### 2) $ \frac{1}{8} \div 8 = ? $
- Take $ \frac{1}{8} $ and split it into 8 equal parts.
- Each part is $ \frac{1}{64} $
- So: $ \frac{1}{8} \div 8 = \frac{1}{64} $

✔ Answer: $ \boxed{\frac{1}{64}} $

---

#### 3) $ \frac{1}{7} \div 2 = ? $
- Split $ \frac{1}{7} $ into 2 parts → each is $ \frac{1}{14} $
- So: $ \frac{1}{7} \div 2 = \frac{1}{14} $

✔ Answer: $ \boxed{\frac{1}{14}} $

---

#### 4) $ \frac{1}{3} \div 4 = ? $
- As in the example: $ \frac{1}{3} \div 4 = \frac{1}{12} $

✔ Answer: $ \boxed{\frac{1}{12}} $

---

#### 5) $ \frac{1}{7} \div 4 = ? $
- Split $ \frac{1}{7} $ into 4 → $ \frac{1}{28} $

✔ Answer: $ \boxed{\frac{1}{28}} $

---

#### 6) $ \frac{1}{5} \div 4 = ? $
- $ \frac{1}{5} \div 4 = \frac{1}{20} $

✔ Answer: $ \boxed{\frac{1}{20}} $

---

#### 7) $ \frac{1}{3} \div 6 = ? $
- $ \frac{1}{3} \div 6 = \frac{1}{18} $

✔ Answer: $ \boxed{\frac{1}{18}} $

---

#### 8) $ \frac{1}{4} \div 9 = ? $
- $ \frac{1}{4} \div 9 = \frac{1}{36} $

✔ Answer: $ \boxed{\frac{1}{36}} $

---

#### 9) $ \frac{1}{5} \div 6 = ? $
- $ \frac{1}{5} \div 6 = \frac{1}{30} $

✔ Answer: $ \boxed{\frac{1}{30}} $

---

#### 10) $ \frac{1}{2} \div 9 = ? $
- $ \frac{1}{2} \div 9 = \frac{1}{18} $

✔ Answer: $ \boxed{\frac{1}{18}} $

---

#### 11) $ \frac{1}{6} \div 6 = ? $
- $ \frac{1}{6} \div 6 = \frac{1}{36} $

✔ Answer: $ \boxed{\frac{1}{36}} $

---

#### 12) $ \frac{1}{9} \div 6 = ? $
- $ \frac{1}{9} \div 6 = \frac{1}{54} $

✔ Answer: $ \boxed{\frac{1}{54}} $

---

📝 Final Answers (Listed):

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{1}{9} $ |
| 2 | $ \frac{1}{64} $ |
| 3 | $ \frac{1}{14} $ |
| 4 | $ \frac{1}{12} $ |
| 5 | $ \frac{1}{28} $ |
| 6 | $ \frac{1}{20} $ |
| 7 | $ \frac{1}{18} $ |
| 8 | $ \frac{1}{36} $ |
| 9 | $ \frac{1}{30} $ |
| 10 | $ \frac{1}{18} $ |
| 11 | $ \frac{1}{36} $ |
| 12 | $ \frac{1}{54} $ |

---

✔ General Rule:

$$
\frac{1}{a} \div b = \frac{1}{a \times b}
$$

So to solve any such problem:
- Multiply the denominator by the whole number.
- Keep numerator as 1.

---

Would you like me to create a visual representation for one of these problems (e.g., $ \frac{1}{3} \div 4 $) using text-based diagrams?