Question

insert four rational number beteeen -3/5 and -1/2

Answer 1

First take their L.C.M. which is 10.
$\frac{ - 3 \times 2}{5 \times 2} \: \: \: and \: \: \: \frac{ - 1 \times 5}{2 \times 5} \\ \\ \frac{ - 6}{10} \: \: \: and \: \: \: \frac{ - 5}{10}$

Now to find 4 no.s multiply it by 5.
$\frac{ - 6 \times 5}{10 \times 5} \: \: \: and \: \: \: \frac{ - 5 \times 5}{10 \times 5} \\ \\ \frac{ - 30}{50} \: \: \: and \: \: \: \frac{ - 25}{50}$

So the no.s are...
$\frac{ - 26}{50} \: \: \: \frac{ - 27}{50} \: \: \:\frac{ - 28}{50} \: \: \:\frac{ - 29}{50} \: \: \:$