Question

Jen has one rope that is 13 1/8 ft long and another that is 21 3/4 ft long Kelsey has a wrote that is 35 1/2 ft long which of the following shows who has more rope and how much more A Jen has 5/8 feet more rope B Jen has 1 5/8 feet more rope C Kelsey has 5/8 ft more rope D Kelsey has 1 5/8 feet more rope

Answer 1

To determine who has more rope and by how much, let's first convert each measurement into improper fractions:

1. **Jen's Rope:**
- Length: \( 13 \frac{1}{8} = \frac{104}{8} + \frac{1}{8} = \frac{105}{8} \) feet

2. **Jen's Other Rope:**
- Length: \( 21 \frac{3}{4} = \frac{84}{4} + \frac{3}{4} = \frac{87}{4} \)
- To convert to eighths: \( \frac{87}{4} = \frac{87 \times 2}{4 \times 2} = \frac{174}{8} \) feet

3. **Total Rope for Jen:**
- Total: \( \frac{105}{8} + \frac{174}{8} = \frac{279}{8} \) feet

4. **Kelsey's Rope:**
- Length: \( 35 \frac{1}{2} = \frac{70}{2} + \frac{1}{2} = \frac{71}{2} \)
- To convert to eighths: \( \frac{71}{2} = \frac{71 \times 4}{2 \times 4} = \frac{284}{8} \) feet

5. **Comparison:**
- Jen's Total: \( \frac{279}{8} \) feet
- Kelsey's Total: \( \frac{284}{8} \) feet

Now we compare the two measurements:

- \( \frac{284}{8} - \frac{279}{8} = \frac{5}{8} \)

This means Kelsey has \( \frac{5}{8} \) feet more rope than Jen.

Therefore, the answer is **C. Kelsey has 5/8 ft more rope.**