For a school project, Samuel cuts 4/7 inch discs of metal. How many discs can he make from a metal post that measures 1/3 foot length?

To determine how many discs Samuel can cut, we need to convert the length of the metal post from feet to inches, then divide the total length of the post by the size of each disc.

1. **Convert the post length to inches:**

   Since 1 foot = 12 inches, a post that is \( \frac{1}{3} \) foot long is:
   \[
   \frac{1}{3} \times 12 = 4 \text{ inches}
   \]

2. **Determine the number of discs Samuel can cut:**

   Each disc is \( \frac{4}{7} \) inches. Now, divide the total post length (4 inches) by the size of each disc:
   \[
   \text{Number of discs} = \frac{4}{\frac{4}{7}} = 4 \times \frac{7}{4} = 7 \text{ discs}
   \]

So, Samuel can cut **7 discs** from the metal post.

Would you like more details or have any questions? Here are five related questions:

1. How would the number of discs change if each disc was \( \frac{3}{7} \) inch thick?
2. What is the total length of metal needed to make 10 discs of \( \frac{4}{7} \) inch each?
3. If the post was \( \frac{2}{3} \) foot long, how many discs could Samuel make?
4. What if Samuel cuts \( \frac{5}{7} \) inch discs—how many could he make from the same post?
5. How can you express the total length in inches for other post lengths?

**Tip:** Always convert units to be consistent before performing calculations.

Discover how to calculate the number of 4/7 inch metal discs that can be cut from a 1/3 foot metal post. This step-by-step guide covers unit conversions and division of fractions, perfect for students in Grades 6-8.

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