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To find out how many meters of cloth a tailor needs to make 15 ponchos of the same size, we need to multiply the amount of cloth needed for one poncho by 15.

The amount of cloth needed for one poncho is \(3 \frac{2}{5}\) meters. Let's convert this mixed number to an improper fraction first:

\[ 3 \frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5} \]

Now, multiply this by 15:

\[ \frac{17}{5} \times 15 = \frac{17 \times 15}{5} = \frac{255}{5} = 51 \]

So, the tailor needs 51 meters of cloth to make 15 ponchos. The correct answer is:

**A. 51**

Do you have any questions or need further details? Here are some questions you might want to ask:

1. How do you convert mixed numbers to improper fractions?
2. Can you explain why we multiply the fractions this way?
3. What are some examples of similar problems?
4. How can you check if your answer is correct?
5. Are there shortcuts for these types of multiplications?

**Tip:** Always convert mixed numbers to improper fractions before performing multiplications to make calculations easier and more accurate.

Learn how to calculate the amount of cloth needed for making 15 ponchos by multiplying fractions. This problem involves fractions and mixed numbers, specifically focusing on converting mixed numbers to improper fractions and performing multiplication. Suitable for students in Grades 5-6.

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