Question

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Insert a rational number between 2/9 and 3/8,and arrange in descending order​

Answer 1

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Insert a rational number between 2/9 and 3/8,and arrange in descending order​

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Take LCM of 8 and 9 and make their denominators same.

2/9 = 16/72

3/8 = 27/72

All numbers,

17/72, 18/72, 19/72, 20/72..

26/72 are in between the two numbers.

Answer 2

First we have to find the LCM of denominators

LCM of 9 and 8 = 72

$\frac{2}{9} = \frac{2 \times 8}{9 \times 8} = \frac{16}{72} \\ \frac{3}{8} = \frac{3 \times 9}{8 \times 9} = \frac{27}{72}$

Now there are more than one rational number between 16 and 27 you can write any one so

$\frac{27}{72} > \frac{20}{72} > \frac{16}{72}$

It is in descending order.

You said for only one, but you can write more than one.

hope it helps.