Mixed numbers (larger)

A mixed number has a whole part and a fraction (1 ¾). An improper fraction has a top bigger than the bottom (7/4).

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Improper → mixed: divide top by bottom. The answer is the whole, the remainder is the new top.
Mixed → improper: multiply whole by bottom, add the top, keep the bottom.

2 1/3 as an improper fraction

2 × 3 = 6, plus 1 = 7

7/3

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The bottom number never changes.

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