Question

find five rational numbers between -5/7 and 1/7.
With method​

Answer 1

Given :

Two numbers :-5/7 & 1/7

To Find :

Five rational numbers

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Step by step explanation:

To find rational number between any two value in fraction follow these steps :

step 1: Firstly adding the two fractional value we obtain a resultant say'x'

step 2: Now add the resultant 'x' again with original value we obtain two resultant say 'y' & 'z'

step 3: Now add resultant one by one to each other and we further obtain new resultant this process going on and we obtain every time a new value.

• 1st rational number

$= > - \frac{5}{7} + \frac{1}{7} = - \frac{4}{7}$

• 2nd Rational number

$= > - \frac{4}{7} (+) - \frac{5}{7} = - \frac{9}{7}$

• 3rd rational number

$= > - \frac{4}{7} + \frac{1}{7} = - \frac{3}{7}$

• 4th rational number

$= > - \frac{4}{9} ( + ) - \frac{9}{7} = - \frac{13}{7}$

• 5th rational number

$= > - \frac{4}{7} ( + ) - \frac{3}{7} = - \frac{7}{7}$