Question

find three rational number between 1/2 &2/3​

Answer 1

Answer:

13/24,14/24,15/24.

STEP BY STEP EXPLANATION:-

LCM of 2 and 3 since denominators of the two rational no.s are 2&3.

=6

1/2×3/3=3/6 (Multiplied by 3/3 because we need denominator as 6 as 6 is the LCM.)

2/3×2/2=4/6(Same reason as for above)

Since no no. lies between 3 and 4 we need to find equivalent fractions of 3/6 and 4/6 such that 3 or more rational no.s lie between them.

THEREFORE,

3/6×4/4= 12/24

4/6×4/4= 16/24

3 RATIONAL NO.S BETWEEN 12/24 AND 16/24 ARE:-

13/24, 14/24, 15/24

There is no compulsion to muliply 3/6 and 4/6 by 4/4 only. They can be further multiplied by 5/5, 6/6 and so on. We can write any 3 no.s between them.

PLEASE MARK MY ANSWER AS BRAINLIEST