Final answer:
If dividing a fraction by 2/3 yields a whole number result, the original fraction must be equal to or larger than 2/3. Dividing a number smaller than 2/3 by 2/3 will yield a decimal result instead.
Step-by-step explanation:
Olivia divided a fraction by 2/3 and the quotient was a whole number. This suggests that the original fraction (the dividend) was equal to or larger than 2/3. When you divide a number smaller than 2/3 by 2/3, the result is a decimal less than 1, not a whole number.
Let's illustrate this with an example. Suppose the dividend was 1/2 and we divided it by 2/3. The result would be 0.75, which is less than 1. Conversely, let's make the dividend 4/3 (or 1 1/3) and divide it by 2/3. The result then would be 2, which is a whole number. Hence, the original fraction was not less than 2/3.
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