Question

Two r.no. between -5 by 6 and -5 by 8

Answer 1

[ the first thing is to make their dinominators equal ]

[ as the questions asks for 2 rational no. we will multiply the numbers by 3 ]


$\frac{ - 5}{6} = \frac{ - 5 \times 4}{6 \times 4} = \frac{ - 20}{24} = \frac{ - 20 \times 3}{24 \times 3} = \frac{ - 60}{72}$

$\frac{ - 5}{8} = \frac{ - 5 \times 3}{8 \times 3} = \frac{ - 15}{24} = \frac{ - 15 \times 3}{24 \times 3} = \frac{ - 45}{72}$


[ Now, we had make their dinominators equal and we have 2 rational no. between them ]

♦ 2 rational numbers between them are

$\frac{ - 59}{72} \: \frac{ - 58}{72}$

Or

$\frac{ - 47}{72} \: \frac{ - 46}{72}$

[ you can also write any rational numbers between -60/72 and -45/72 ]