Question

find 7 rational numbers lying between 1/6 and 5/21​

Answer 1

Answer:

22 / 126 , 23 / 126 , 24 / 126 , 25 / 126, 26 / 126 , 27 / 126 , 28 /126

Step-by-step explanation:

i ) 1 /6 = ( 1 × 7 ) / ( 6 × 7 ) = 7 / 42

= ( 3 × 7 ) / ( 3 × 42 ) = 21 / 126

ii ) 5 / 21 = ( 5 × 2 ) / ( 21 × 2 ) = 10 / 42

= ( 3 × 10 ) / ( 3 × 42 ) = 30 / 126

( 1 /6 = 21 / 126) , 22 / 126 , 23 / 126 , 24 / 126

, 25 / 126 , 26 / 126 , 27 / 126 , 28 / 126...,

( 5 / 12 = 30/ 126 )

Therefore ,

22 / 126 , 23 / 126 , 24 / 126 , 25 / 126,

26 / 126 , 27 / 126 , 28 /126

Answer 2

Answer:

First of all take the L.C.M. Of 6&21..=42..

1/6=7/42. and. 5/21=10/42...

hence 7 rational number can't be find in between them....

so, multiply it with 10.. 7/42*10/10= 70/420 ...

and, 10/42*10/10 = 100/420..

hence, 7 rational number between 1/6 and 5/21 are , 71/420 , 72/420,73/420,74/420,75/420,76/420 and 77/420