Question

insert 4 rational numbers between -5÷8 and 4÷-7

Answer 1

Hope this help you..,

Answer 2

Heya !!!

To insert 4 rational numbers between -5/8 and -4/7

Let's first take the L.C.M of 7 and 8 we get 56

So,

$- \frac{5}{8} \times \frac{7}{7} = - \frac{ 35}{56} \\ \\ - \frac{4}{7} \times \frac{8}{8} = - \frac{32}{56}$

Now, multiplying 2/2 to both we get,

$- \frac{35}{56} \times \frac{2}{2} = - \frac{70}{112} \\ \\ - \frac{32}{56} \times \frac{2}{2} = - \frac{64}{112}$

So,

the 4 rational numbers can be

$- \frac{69}{112} : - \frac{68}{112} : - \frac{67}{112} : - \frac{66}{112}$


Or anything between -70/112 and -64/112

Hope this helps ☺