4. TJ needs to cut a 8 -ft rope into pieces that are $$ \frac{1}{4} $$ inch long. a) How many $$ \frac{1}{4} $$ inch pieces will he have? he cut 144 pieces b) How many pieces, if any, will he have left over?

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Let's carefully examine the problem to ensure clarity and accuracy.

### Given:
- **Total Rope Length:** 8 feet
- **Length of Each Piece:** $$ \frac{1}{4} $$ inch

### Converting Units:
First, convert the total rope length from feet to inches, since the pieces are measured in inches.

$$
8 \text{ feet} \times 12 \text{ inches/foot} = 96 \text{ inches}
$$

### a) Number of $$ \frac{1}{4} $$ Inch Pieces

To find out how many $$ \frac{1}{4} $$ inch pieces can be obtained from 96 inches:

$$
\text{Number of Pieces} = \frac{\text{Total Length}}{\text{Length of Each Piece}} = \frac{96 \text{ inches}}{\frac{1}{4} \text{ inch}} = 96 \times 4 = 384 \text{ pieces}
$$

**Note:** It seems there might have been a miscalculation if 144 pieces were considered. Based on the correct calculation, TJ should have **384 pieces**.

### b) Leftover Pieces

Since 96 inches is exactly divisible by $$ \frac{1}{4} $$ inch:

$$
96 \div \frac{1}{4} = 384
$$

**Result:** There will be **no leftover** rope after cutting.

### Summary

- **a)** TJ will have **384 pieces** of $$ \frac{1}{4} $$ inch each.
- **b)** There will be **no leftover** rope.
TJ will have 384 pieces of $$ \frac{1}{4} $$ inch each and no leftover rope.

TJ needs to cut a 8 -ft rope into pieces
that are inch long.
a) How many inch pieces will he have?
he cut 144 pieces
b) How many pieces, if any, will he have
left over?

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TJ needs to cut a 8 -ft rope into pieces that are inch long. a) How many inch pieces will he have? he cut 144 pieces b) How many pieces, if any, will he have left over?