Which of the following pair of rational numbers do not have any rational numbers between them ?a. 2/5, 5/7b. 4/3, 32/24c. 40/35,3/7d. 8/13,5/7?

Answers (1)

?a) frac25, frac57
frac57-frac25 =frac25-1435=frac1135 

as difference is non zero so it must contain rational numbers between them.

b) frac43, frac3224
frac3224-frac43 =frac32-3224=0 

as difference is zero so it does not  contain any rational number between them.

c) frac4035, frac37
frac4035-frac37 =frac40-1535=frac57 

as difference is non zero so it must contain rational numbers between them.

d) frac813, frac57
frac57-frac813 =frac65-5691=frac991 

as difference is non zero so it must contain rational numbers between them.

 

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