Fraction worksheet for coloring one third of different collections.

The task involves coloring one-third of the total collection for each given number. Let's solve it step by step:

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Step 1: Understand the Problem

We need to find and color one-third ( \( \frac{1}{3} \) ) of the total items in each collection.

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Step 2: Solve Each Part

#### Part (a): \( \frac{1}{3} \) of 9
- Total items: 9
- One-third of 9:
\[
\frac{1}{3} \times 9 = 3
\]
- So, we need to color 3 items out of the 9.

#### Part (b): \( \frac{1}{3} \) of 15
- Total items: 15
- One-third of 15:
\[
\frac{1}{3} \times 15 = 5
\]
- So, we need to color 5 items out of the 15.

#### Part (c): \( \frac{1}{3} \) of 18
- Total items: 18
- One-third of 18:
\[
\frac{1}{3} \times 18 = 6
\]
- So, we need to color 6 items out of the 18.

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Step 3: Color the Items

Now, let’s color the required number of items for each part:

#### Part (a): \( \frac{1}{3} \) of 9
- Total items: 9
- Items to color: 3
- Color any 3 items from the 9 available.

#### Part (b): \( \frac{1}{3} \) of 15
- Total items: 15
- Items to color: 5
- Color any 5 items from the 15 available.

#### Part (c): \( \frac{1}{3} \) of 18
- Total items: 18
- Items to color: 6
- Color any 6 items from the 18 available.

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Final Answer

The solution involves coloring the following numbers of items:
- For part (a): 3 items
- For part (b): 5 items
- For part (c): 6 items

Thus, the final answer is:
\[
\boxed{3, 5, 6}
\]