Question

Q.3)Find five rational number between -5/7 and -3/8.​

Answer 1

Answer:

LCM of 7and 8 is 56

-5/7 *8/8=-40/56

-3/8*7/7=-21/56

five rational no b/w -5/7 &-3/7 are

-22/56 -23/56 -24/56 -25/56 -26/56

Answer 2

3)

$\frac{ - 5}{7} \: \: \: and \: \: \: \frac{ - 3}{8}$

L.C.M of 7 and 8 is 56

$\begin{gathered} \frac{ - 5 \times 8 }{7 \times 8} = \frac{ - 40}{56} \\ \\ \frac{ - 3 \times 7}{8 \times 7} = \frac{ - 21}{56} \end{gathered}$

So ,

$\frac{ - 40}{56} < \frac{ - 39}{56} < \frac{ - 38}{56} < \frac{ - 37}{56} < \frac{ - 36}{56} < \frac{ - 35}{56} < \frac{ - 34}{56} < \frac{ - 33}{56} ... \frac{ - 21}{56}$

( u can take any 5 all of them )

Hence , The five rational numbers between

$\frac{ - 5}{7} \: \: and \: \: \frac{ - 3}{8} \: \: \: \: is$

$\frac{ - 40}{56} < \frac{ - 39}{56} < \frac{ - 38}{56} < \frac{ - 37}{56} < \frac{ - 36}{56} < \frac{ - 39}{56} < \frac{ - 21}{56}$