To find the fraction of the donuts that were cinnamon, first, we need to determine how many donuts were chocolate and glazed.
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Chocolate Donuts:
- There are \( \frac{40}{100} \) of the donuts that are chocolate.
- This means there are \( 40 \) chocolate donuts.
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Glazed Donuts:
- There are \( \frac{3}{10} \) of the donuts that are glazed.
- Since \( \frac{3}{10} \) of 100 is \( 30 \), there are \( 30 \) glazed donuts.
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Total of Chocolate and Glazed Donuts:
- Total chocolate and glazed donuts = \( 40 + 30 = 70 \).
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Cinnamon Donuts:
- Total donuts = \( 100 \).
- Therefore, cinnamon donuts = Total donuts - (Chocolate + Glazed) = \( 100 - 70 = 30 \).
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Fraction of Cinnamon Donuts:
- The fraction of donuts that are cinnamon is \( \frac{30}{100} \).
So the answer is 30/100.