A carpenter wanted three pieces of wood each 1⅝ feet long. If he planned to cut them from a 6-foot piece of wood, how much of the piece would be left? 


To solve this problem, we need to determine how much of the 6-foot piece of wood remains after the carpenter cuts three pieces, each 1⅝ feet long.

### Step-by-step solution:

1. **Convert the mixed number to an improper fraction**:
   \[
   1\frac{5}{8} = \frac{13}{8} \text{ feet}.
   \]
   So, each piece is \(\frac{13}{8}\) feet long.

2. **Calculate the total length of the three pieces**:
   The total length of the three pieces is:
   \[
   3 \times \frac{13}{8} = \frac{39}{8} \text{ feet}.
   \]
   Converting \(\frac{39}{8}\) into a mixed number:
   \[
   \frac{39}{8} = 4\frac{7}{8} \text{ feet}.
   \]
   This means the total length of the three pieces is 4 feet and \(\frac{7}{8}\) of a foot.

3. **Subtract the total length from the original piece**:
   The original piece is 6 feet long, so the remaining length after cutting is:
   \[
   6 - 4\frac{7}{8} = 1 - \frac{7}{8} = \frac{1}{8} \text{ feet}.
   \]

Thus, after cutting the three pieces, \(\frac{1}{8}\) feet of the original wood will be left.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the total length of two pieces of wood, each 1⅝ feet long?
3. How much wood would be left if each piece was 2 feet long?
4. What is the process to subtract mixed numbers from whole numbers?
5. If the wood was 8 feet long, how much would be left after cutting four pieces, each 1⅝ feet long?

**Tip**: Always double-check your unit conversions when working with fractions or mixed numbers to ensure accuracy!

A carpenter wanted three pieces of wood each 1⅝ feet long. If he planned to cut them from a 6-foot piece of wood, how much of the piece would be left?

Learn how to calculate the remaining wood after cutting three 1⅝ feet pieces from a 6-foot long piece. This solution covers fractions, mixed numbers, and subtraction, providing a clear step-by-step breakdown. Suitable for students in Grades 5-7.

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