Question

Find ten rational number between −5/6 and -5/8

Answer 1

$\frac{ - 5}{6} \: and \: \frac{ - 5}{8} \\ lcm \: of \:6 \: and \: 8 \: is \: 24 \\\frac{ - 5}{6} = \frac{ - 5}{6} \times \frac{4}{4} \\ = \frac{ - 20}{24} \\ \frac{ - 5}{8} = \frac{ - 5}{8} \times \frac{3}{3} \\ \frac{ - 15}{24} \\ all \: the \: numbers \: between \: \\ \frac{ - 20}{24} \: and \: \frac{ - 15}{24} \: \\ are \: numbers \: required$

Answer 2

As it is shown the denominators are not same so we have to make them same by LCM
LCM of 6,8 = 24

So now we have to found Ten rational no between -20/24 and -15/24 but the no between the respective no. Are less than 10 numbers so we will multiply the both no. With a no. To fine ten no. Between them


-20/24*4 = -80/24
-60/24*4= -60/24

Ten no. Between -80/24 and -60/24
-79/24,-78/24,-77/24,-76/24,-75/24,-75/24,-74/24,-73/24,-72/24,-71/24