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

Step by step

1. Write each number as a fraction
   3 1/2 = (3 × 2 + 1)/2 = 7/2
2. Keep, change, flip
   Keep the first fraction, change ÷ to ×, and flip the second fraction upside down:
   7/2 ÷ 1/4 = 7/2 × 4/1
3. Multiply the tops, then the bottoms
   (7 × 4)/(2 × 1) = 28/2
4. Simplify
   Divide the top and bottom by 2: 28/2 = 14

Check: 14 × 1/4 = 7/2 ✓

Picture

Each bar is one whole, split into equal parts.

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