Question

Find five rational nubers between 2/5 and 3/4

Answer 1

Answer:

7/14 , 12/23, 5/9, 13/22 and 8/ 13

Explanation:

First, find one rational number between the number

2/5 < 3/4

= 2/5 < (2+3) / (5+4) < 3/4

= 2/5 < 5/9 < 3/4

Now find two more rational numbers

= 2/5 < (2+5) / (5+9) < 5/9 < (5+3) / (9+4) < 3/4

= 2/5 < 7/14 < 5/9 < 8/13 < 3/4

Now find the two more rational numbers from between any two pairs

= 2/5 < 7/14 < (7+5) / (14+9) < 5/9 < (5+8) / (9+13) < 8/13 < 3/4

= 2/5 < 7/14 < 12/23 < 5/9 < 13/22 < 8/13 < 3/4

so the 5 rational numbers are 7/14 , 12/23, 5/9, 13/22 and 8/ 13

Answer 2

Answer:

five rational number between 2/5 and 3/4

= L.C.M of 5 and 4 =20

= (2*4) / (5*4) and. (3*5)/(4*4)

= 8/20. and 15/20

= five rational number between 2/5 and 3/4 :

= 9/20 , 10/20 , 11 /20 , 12 /20 , 13/20 etc..

Explanation:

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