Question

Find three rational numbers between the following ​

Answer 1

Answer:

17/72 , 19/72 , 7/24

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Answer 2

$\rm \frac{2}{9} \: and \: \frac{5}{8}$

LCM of 9 and 8 = 72

Now,

$\rm \frac{2}{9} \times( \frac{8}{8} ) = \frac{16}{72 }$

$\rm \frac{5}{8} \times (\frac{9}{9}) = \frac{45}{72}$

To find:- 3 rational numbers.

so, 3+1 = 4

then.

$\rm \frac{16}{72} \times( \frac{4}{4}) = \frac{64}{288}$

$\rm \frac{45}{72} \times ( \frac{4}{4} ) = \frac{180}{288}$

therefore, the required rational no. s are :

$\rm \frac{66}{280} , \frac{67}{288} , \frac{68}{288} ...and \: so \: on,....$