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Answer :
The rational number given in option (b) 50/75 does not lie between 3/5 and 2/3 because it is equivalent to 2/3. It is not a number between 3/5 and 2/3, unlike the others.
Before we answer this question, let's convert 3/5 and 2/3 into decimals for easier comparison. 3/5 is equal to 0.6 and 2/3 is approximately 0.6667.
- 49/75 as a decimal is approximately 0.6533.
- 50/75 as a decimal is 0.6667.
- 47/75 as a decimal is approximately 0.6267.
- 46/75 as a decimal is approximately 0.6133.
As we can see, three options (a, c, d) are between 0.6 and 0.6667, so they lie between 3/5 and 2/3. However, option (b) is equivalent to 2/3 and therefore it is not between 3/5 and 2/3. The answer is (b) 50/75.
Learn more about the topic of Rational Numbers here:
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