1. Since -1= -1/1 and -2= -2/1, these numbers have same denominators so,

Numbers of rational numbers to be written=5 and (5+1=6)

__-1x6__ = -6/6

1x6

__-2x6 __= -12/6, so, rational numbers between -1 and -2 are the rational numbers

1x6 between -6/6 and -12/6 i.e. -7/6, -8/6, -9/6, -10/6, and -11/6 or -7/6, -4/3, -3/2, -5/3, -11/6 (by reducing the numbers into their lowest form)

2. 12/5 and 10/3 have different denominators, so LCM of 5 and 3= 15

=__12x3__= 36/15

5x3

=__10x5__ =50/15

3x5

Hence, 7 rational numbers between 12/5 and 10/3 are the rational numbers between 36/15 and 50/15 i.e. 37/15, 38/15, 39/15, 40/15, 41/15, 42/15, 43/15( you can take any 7 rational numbers between 36/15 and 50/15 since there are many rational numbers between them)