What is 8 divided by 2 1/2?

Step by step

1. Write each number as a fraction
   8 = 8/1
   2 1/2 = (2 × 2 + 1)/2 = 5/2
2. Keep, change, flip
   Keep the first fraction, change ÷ to ×, and flip the second fraction upside down:
   8/1 ÷ 5/2 = 8/1 × 2/5
3. Multiply the tops, then the bottoms
   (8 × 2)/(1 × 5) = 16/5
4. Write it as a mixed number
   16 ÷ 5 = 3 remainder 1, so 16/5 = 3 1/5

Check: 16/5 × 5/2 = 8 ✓

Picture

Each bar is one whole, split into equal parts.

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