Ahmad has two pieces of ribbon — one is 36 cm long and the other is 48 cm long. He wants to cut both ribbons into equal pieces of the longest possible length with no remainder. What is the length of each piece?
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Worked Solution
Step 1: List all factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 2: List all factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 3: Common factors: 1, 2, 3, 4, 6, 12.
Step 4: The greatest common factor (GCF) is 12.
Step 5: Verify: 36÷12=3 pieces and 48÷12=4 pieces. ✓
Answer: 12 cm.
Correct answer: 12 cm
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