Grade 5

Students should consider the “improper” fractions that might have been in Samantha’s list in order to respond to this Headline Story.

Samantha made a list of “improper” fractions that, when rewritten as mixed numbers, were all between 3 and 4, and had a fractional part with a numerator of 1. What can you say about the improper fractions on her list?

- We can list mixed numbers like 3, 3, 3, 3, 3, and so on, and figure out the improper fractions from that list.
- The numerators of the improper fractions are 7, 10, 13, 16, and keep skipping by 3.
- If the denominator of the improper fraction is odd, then its numerator is even.
- If the denominator of the improper fraction is even, then its numerator is odd.

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