Question

Find five rational numbers between -4/5and -2/3

Answer 1

Solutions :-

Q: Find five rational numbers between -4/5 and -2/3

Find LCM of denominators of -4/5 and -2/3 :-

LCM of 5 and 3 is 15

So,
-4/5 = -4×3/5×3 = -12/15

-2/3 = -2×5/3×5 = - 10/15

Now,
Multiply 3 with both the rational numbers,

-12/15 = - 12×3/15×3 = -36/45
-10/15 = - 10×3/15×3 = - 30/45

Hence,

The five rational numbers between -4/5 and -2/3 are - 31/45, - 32/45, -33/45, -34/45 and -35/45



Note :- There are infinite rational numbers between any two rational numbers.