Rope A is 4 1/2 m and is 1 3/4 m longer than Rope B. To find Rope B, subtract the difference from Rope A.

[[model:questions/solutions/q4257.png]]

• Rope B → Rope A − difference
• Rope B → 4 1/2 − 1 3/4
• 4 1/2 = 9/2 = 18/4
• 1 3/4 = 7/4
• 18/4 − 7/4 = 11/4 = 2 3/4

The length of Rope B is 2 3/4 m.
Check: 2 3/4 + 1 3/4 = 3 6/4 = 4 2/4 = 4 1/2. ✓