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, we need to determine how much total wood is required for the three pieces and subtract that from the original 6-foot piece.

### Step 1: Calculate the total length of wood needed
Each piece of wood is \( 1\frac{5}{8} \) feet long. Convert this to an improper fraction:

\[
1\frac{5}{8} = \frac{8}{8} + \frac{5}{8} = \frac{13}{8} \text{ feet}.
\]

Since the carpenter needs 3 pieces, the total length of wood required is:

\[
3 \times \frac{13}{8} = \frac{39}{8} \text{ feet}.
\]

Convert \(\frac{39}{8}\) into a decimal or mixed number:

\[
\frac{39}{8} = 4\frac{7}{8} \text{ feet}.
\]

### Step 2: Subtract the total length from the original piece
The original piece of wood is 6 feet long. The amount of wood left after cutting is:

\[
6 - 4\frac{7}{8} = 1\frac{1}{8} \text{ feet}.
\]

So, after cutting the three pieces, **1\(\frac{1}{8}\) feet** of the wood would be left.

Would you like further clarification on any part of this? Here are some related questions to expand on this:

1. How do you convert a mixed fraction to an improper fraction?
2. How would the answer change if the original piece was 5 feet long instead of 6 feet?
3. What would happen if the carpenter needed four pieces instead of three?
4. How can you calculate the leftover wood if the lengths were in meters instead of feet?
5. How does converting fractions to decimals affect accuracy in such problems?

**Tip:** Always double-check unit conversions when working with fractions in practical problems like this one.

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?

Solve the problem of a carpenter cutting three pieces of wood, each 1⅝ feet long, from a 6-foot board. Learn how to multiply fractions, convert mixed numbers, and calculate the remaining wood. Suitable for students in Grades 5-7.

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