Question

1.Write 5 rational numbers between 2/7 and 3/5.
2. write five rational number between -5/12 and -2/15.​

Answer 1

Answer:

1). 57/140,58/140,59/140

2). -4/3 and -2/3

Let us write -4/3 and -2/3 as rational numbers with the same denominator.

=> -4/5 = -36/45 and -2/3 = -30/45

=> -36/45 < -35/45 < -34/45 < -33/45 < -32/45 < -31/45 < -30/45

=> -4/5 < -7/9 < -34/45 < -11/15 < -32/45 < -31/45 < -2/3

Hence, the five rational numbers between -4/5 and -2/3 are:

-4/5 < -7/9 < -34/45 < -11/15 < -32/45 < -31/45 < -2/3