Question

Find ten rational number between -1/2and -3/4

Answer 1

Ten rational number between -1/2 and -3/4
***As question to find 10 then just add 1 in 10.
It will be 11.
***Now multiply and divide by 11 in both given rational numbers.
- 1 / 2 x 11 / 11 & - 3 / 4 x 11 / 11
= - 11 / 22 & - 33 / 44
***As the denominators are different we will take LCM as 44.
Now the rational numbers are
- 22 / 44 & - 33 / 44.
In between them the ten rational numbers are
- 23 / 44, - 24 / 44,
- 25 / 44, - 26 / 44,
- 27 / 44,- 28 / 44,
- 29 / 44, - 30 / 44,
- 31 / 44 & - 32 / 44
Now it will be reduced if it is possible
Therefore, the rational numbers are
- 23 / 44, - 6 / 11,
- 25 / 44, - 13 / 22,
- 27 / 44,- 7 / 11,
- 29 / 44, - 15 / 22,
- 31 / 44 & - 8 / 11.