https://file.aiquickdraw.com/mathbot/file/1730420887449035anmi3.jpg

To solve this problem, let's go through the cross-canceling process in multiplying fractions:

The expression given is:
\[
\frac{16}{26} \times \frac{1}{4}
\]

### Step 1: Simplify \(\frac{16}{26}\) and \(\frac{1}{4}\)
- \(16\) and \(26\) have a common factor of \(2\):
  \[
  \frac{16}{26} = \frac{8}{13}
  \]

So, we now have:
\[
\frac{8}{13} \times \frac{1}{4}
\]

### Step 2: Multiply the fractions
Now, multiply the numerators and the denominators:
\[
\frac{8 \times 1}{13 \times 4} = \frac{8}{52}
\]

### Step 3: Simplify \(\frac{8}{52}\)
- \(8\) and \(52\) have a common factor of \(4\):
  \[
  \frac{8}{52} = \frac{2}{13}
  \]

### Final Answer:
So, the answer is:
\[
\frac{2}{13}
\]

This matches the option **2/13** in the list.

---

Would you like more details on any step, or have additional questions?

Here are some related questions to explore:
1. What is cross-canceling in fraction multiplication, and why is it helpful?
2. How do you find the greatest common factor to simplify fractions?
3. Can we cross-cancel with more complex fractions?
4. How does simplifying before multiplying impact the answer?
5. What are other methods to multiply fractions without cross-canceling?

**Tip:** Always simplify fractions before finalizing your answer; it makes calculations easier and reduces errors.

In multiplying the following with cross-canceling, 16/26 will become (16/26) × (1/4).

Learn how to multiply fractions by using cross-canceling with the example 16/26 × 1/4. This step-by-step solution simplifies the fraction 16/26 and multiplies it by 1/4 to get the final answer. Perfect for students in Grades 5-7.

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