What is 2 1/4 divided by 1/2?

Step by step

1. Write each number as a fraction
   2 1/4 = (2 × 4 + 1)/4 = 9/4
2. Keep, change, flip
   Keep the first fraction, change ÷ to ×, and flip the second fraction upside down:
   9/4 ÷ 1/2 = 9/4 × 2/1
3. Multiply the tops, then the bottoms
   (9 × 2)/(4 × 1) = 18/4
4. Simplify
   Divide the top and bottom by 2: 18/4 = 9/2
5. Write it as a mixed number
   9 ÷ 2 = 4 remainder 1, so 9/2 = 4 1/2

Check: 9/2 × 1/2 = 9/4 ✓

Picture

Each bar is one whole, split into equal parts.

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