Question

find 4 rational numbers between -2/3 and 3/2

Answer 1

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find 4 rational numbers between -2/3 and 3/2

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=>To find rational number between 2 values just add them both two values whichever is given then a new value come then add the resultant with original value again we obtain a new value again add this resultant value with the previous resultant we obtain this going on and we obtain a series of rational number between any two values .

• First rational number

$= > - \frac{2}{ 3} + \frac{3}{2} = \frac{ - 4 + 9}{6} = \frac{5}{6}$

• Second rational number

$= > \frac{5}{6} - \frac{2}{3} = \frac{5 - 4}{6} = \frac{1}{6}$

• Third rational number

$= > \frac{5}{6} + \frac{3}{2} = \frac{5 + 9}{6} = \frac{14}{6}$

• Fourth rational number

$= > \frac{5}{6} + \frac{1}{6} = \frac{6}{6}$

• Fifth rational number

$= > \frac{5}{6} + \frac{14}{6} = \frac{19}{6}$

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