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 make, we need to calculate how many times the thickness of one disc (4/7 inch) fits into the total length of the metal post (1/3 foot). 

### Step 1: Convert the length of the metal post to inches.
Since 1 foot = 12 inches, the length of the metal post in inches is:
\[
\frac{1}{3} \text{ foot} \times 12 \text{ inches/foot} = 4 \text{ inches}
\]

### Step 2: Determine how many discs can be made.
To find the number of discs, divide the total length of the post by the thickness of each disc:
\[
\text{Number of discs} = \frac{4 \text{ inches}}{\frac{4}{7} \text{ inch per disc}} 
\]

### Step 3: Simplify the calculation.
To divide by a fraction, multiply by its reciprocal:
\[
\text{Number of discs} = 4 \times \frac{7}{4} = 7
\]

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

Would you like more details or have any questions?

Here are 5 relative questions you might consider:
1. How would the number of discs change if the thickness of each disc was different?
2. What if the metal post was longer, say 2/3 foot?
3. How can you determine the total thickness of all discs together?
4. What if each disc had a different thickness?
5. How would the process differ if you had to account for waste material?

**Tip:** Always convert measurements to the same units before performing any calculations.

Discover how to calculate the number of 4/7 inch discs that can be made from a 1/3 foot metal post. This problem involves converting units and dividing fractions, making it suitable for Grades 6-8 students learning about fraction arithmetic and unit conversions.

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