Question

Answer the following questions-
1) Insert 6 rational numbers between -1/2 and 2/3
2) Insert 6 rational numbers between -4/5 and -2/3

Answer 1

1. -1/2 = -1×7/2×7 = -7/14

2/3 =2×7/3×7=14/21

therefore -8/14,-7/14,-6/14,-5/14,-4/14 and -3/14 lie between -1/2 and 2/3.