Question

list two rational numbers between -5/8 and -8/9​

Answer 1

Answer:

Step-by-step explanation:

there are infinite rational numbers between two rational numbers

Answer 2

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Explanation:

For finding rational number between any two fractional value following steps :

step 1: firstly add the both fractional value we obtain a new value say 'x'

step2: Then add 'x' with first original value to obtain a new value say 'y'

step3: Then add 'x' with second orginal value to obtain a new value say 'z'

step 4: Then add 'x' with resultant 'y' and 'z' to obtain a new resultant.This procedure going on and we obtain a new value further .

• 1st rational number

$= > - \frac{5}{8} ( + ) - \frac{8}{9} = \frac{ - 45 - 64}{72} = - \frac{109}{72}$

• 2nd rational number

$= > - \frac{109}{72} ( + ) - \frac{5}{8} = \frac{ - 109 - 45}{72} = - \frac{ 154}{72}$

• 3rd rational number

$= > - \frac{154}{72} ( + ) - \frac{8}{9} = \frac{ - 154 - 64}{72} = - \frac{218}{72}$

• 4th Rational number

$= > - \frac{109}{72} ( + ) - \frac{154}{72} = - \frac{163}{72}$

• 5th Rational number

$= > - \frac{109}{72} ( + ) - \frac{218}{72} = - \frac{327}{72}$