Question

5. Find five rational numbers between: 2/7 and 5/7​

Answer 1

there are infinity rational number between any two rational number

please support

Answer 2

Answer:

$\huge\purple{\underbrace{\textsf{\textbf{\pink{Answer}}}}}$

five rational numbers between: $\frac{2}{7} \: and \: \frac{5}{7}$

There are only 2 rational numbers between $\frac{2}{7} \: and \: \frac{5}{7}$

We have to find 3 more

So, we will multiply it with 3

$\frac{2}{7} \times \frac{3}{3} \: \: \: and \: \: \: \frac{5}{7} \times \frac{3}{3} \\ \\ \frac{6}{21} \: \: \: and \: \: \: \frac{15}{21} \\ \\ \frac{6}{21 } \boxed{ \frac{7}{21}, \frac{8}{21} ,\frac{9}{21},..., \frac{13}{21} , \frac{14}{21} } \frac{15}{21} \\ \\ So, \: 5 \: rational \: numbers \: between \: \frac{2}{7} \: \: \: and \: \: \: \frac{5}{7} \: are \: \sf \green{ \frac{7}{21}, \frac{8}{21}, \frac{9}{21},... ,\frac{13}{21} ,\frac{14}{21} }$

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