What is 4 1/2 divided by 2 2/3?

Step by step

1. Write each number as a fraction
   4 1/2 = (4 × 2 + 1)/2 = 9/2
   2 2/3 = (2 × 3 + 2)/3 = 8/3
2. Keep, change, flip
   Keep the first fraction, change ÷ to ×, and flip the second fraction upside down:
   9/2 ÷ 8/3 = 9/2 × 3/8
3. Multiply the tops, then the bottoms
   (9 × 3)/(2 × 8) = 27/16
4. Write it as a mixed number
   27 ÷ 16 = 1 remainder 11, so 27/16 = 1 11/16

Check: 27/16 × 8/3 = 9/2 ✓

Picture

Each bar is one whole, split into equal parts.

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