Question

find rational no between -2/3and -3/4​

Answer 1

Answer:

-15/24 and more

Step-by-step explanation:

First, convert them into like fractions:-

   LCM of denominators : 3 * 4 = 12

   -2/3 * 4/4 = -8/12

   -3/4 * 3/3 = -9/12

There is no rational number between -8/12 and -9/12.

But we can increase the rational numbers between these 2 rational numbers by multiplying them with other numbers ( except 0 and 1 ). Like:

    -8/12 * 2/2 = -16/24

    -9/12 * 2/2 = -18/24

There is a rational number between -16/24 and -18/24 that is -15/24.

We can find more rational numbers by multiplying x/x with both the rational numbers ( fraction type ) where x can be any number except 0 and 1.