Question

find seven rational number between 1/6 and 5/21

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate}}}$

$<b><i><font face=Copper black size=4 color=blue>$
Here is your answer
First make the Denominator of the rational Number same
1/6. and 5/21

14/ 84. and 20/84

Now the Seven rational Number between them are

$\frac{15}{84} \: \: . \: \frac{16}{84} \: \: . \: \frac{17}{84} \: \: . \: \frac{18}{84} \: \: . \: \frac{19}{84} \: \: . \: \frac{20}{84} \: \: . \: \frac{21}{84}$


$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\:helps\: you}}}}}}}}}}}}}}}$

Answer 2

(1/6+5/21)÷2. LCM- 42
=(7/42+10/42)÷2
=(17/42)÷2
=17/42×1/2
=17/84

Now find next six number by this process