Question

write 4 rational number between 2 and 3​

Answer 1

Answer:

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Answer 2

Given: Two numbers 2 and 3

To find: Four rational numbers between the given numbers

Solution:

Given numbers are 2 and 3.

To insert rational numbers between the given numbers, we need to find the average of 2 and 3.

i.e., $\frac{2 \ + \ 3}{2} = \frac{5}{2}$

We get, $2 < \frac{5}{2} < 3$

Now we need to find another rational number between $2 \ and \ \frac{5}{2}$

i.e., $\frac{(2 \ + \ \frac{5}{2} )}{2} = \frac{\frac{4 \ + \ 5}{2} }{2} = \frac{9}{2}* \frac{1}{2} = \frac{9}{4}$

We get, $2 < \frac{9}{4} < \frac{5}{2} < 3$

Similarly, we find rational numbers between $2 \ and \ \frac{9}{4}, \frac{5}{2} \ and \ 3$, we get $\frac{17}{8} \ and \ \frac{11}{4}$ respectively.

Hence, four rational numbers between the given numbers are:

$\frac{17}{8}, \frac{9}{4}, \frac{5}{2} \ and \ \frac{11}{4}$