Find three rational numbers between :- (1) -1 and -2 (2) 0.1 and 0.11 (3) 5/7 and 6/7 (4) 1/4 and 1/5

Question

Please answer step by step instructions.

Answer 1

There are many rational numbers between these limits, so let’s pick some equally spaced ones.

1. Between -1 and -2 we have -1.25, -1.50 and -1.75.
2. Between 0.1 and 0.11 we have 0.1025, 0.1050, 0.1075.
3. Between 5/7 and 6/7. We can write these as 20/28 and 24/28, so we pick 21/28, 22/28=11/14 and 23/28.
4. Between 1/4 and 1/5. We write these as 5/20 and 4/20. Then we take it a step further and change to 20/80 and 16/80. We can pick 17/80, 18/80=9/40 and 19/80.