The rational number not lying between $ \frac{3}{5} $ and $ \frac{2}{3} $ is:

(a) $ \frac{49}{75} $
(b) $ \frac{50}{75} $
(c) $ \frac{47}{75} $
(d) $ \frac{46}{75} $

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:

https://brainly.com/question/24398433

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The rational number not lying between \( \frac{3}{5} \) and \( \frac{2}{3} \) is:(a) \( \frac{49}{75} \) (b) \( \frac{50}{75} \) (c) \( \frac{47}{75} \) (d) \( \frac{46}{75} \)

Answer :

Other Questions

The rational number not lying between \( \frac{3}{5} \) and \( \frac{2}{3} \) is:

(a) \( \frac{49}{75} \)
(b) \( \frac{50}{75} \)
(c) \( \frac{47}{75} \)
(d) \( \frac{46}{75} \)