Question

find five rational number between -5/6or7/9​

Answer 1

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Answer :-

The five rational numbers can be

$\frac{7}{18}, \frac{4}{9} ,\frac{1}{2} ,\frac{5}{9}, \frac{11}{18}$

Explanation :

✧To find any five rational numbers between two rational numbers, we need to get same denominators in both of the rational numbers.

For this, we find the LCM of the denominators.

✧ LCM of 6 and 9 is => 18

✧ So,

$\frac{-5}{6} = \frac{-10}{18}$

and

$\frac{7}{9} = \frac{14}{18}$

✧ So, now we can easily find the rational numbers between the given rational numbers by finding the numbers between the numerators.

✧ ANY five Rational numbers between the given rational numbers :-

$\frac{-10}{18} <...\frac{7}{18}, \frac{8}{18} ,\frac{9}{18} ,\frac{10}{18}, \frac{11}{18} ,\frac{12}{18}\: ... > \frac{14}{18}$

Or,

$\frac{-5}{6} <...\frac{7}{18}, \frac{4}{9} ,\frac{1}{2} ,\frac{5}{9}, \frac{11}{18} ,\frac{6}{9}\: ... > \frac{7}{9}$

✩ There are UNLIMITED rational numbers between any two rational numbers!

hope it helps you ...!! :D