Question

find four rational numbers between 3/4 and 7/9​

Answer 1

Answer:

A rational number is simply able to be represented by the division of one integer by another integer.

So, the goal is to find a rational number between 3/4 and 7/8.

Write 3/4 as 6/8. Now the problem is more clearly to find that rational number between 6/8 and 7/8. No integer between 6 and 7 that we can use in the numerator of a solution - so…

Simply write both in terms of 16ths now. So find a solution between 12/16 and 14/16. Clearly now an answer is 13/16.

Write both in terms of 32ths now - so find a solution between 24/32 and 28/32. Now there are clearly 3: 25/32, 26/32 and 27/32.

Continue in a likewise fashion - doubling the denominator and finding as many (an infinite number) of rational numbers between 3/4 and 7/8.

Answer 2

Answer:

3×27/4×27 and 7×12/9×12

81/108 and 84/108

(82/108,83/107) = rational no.s between them

Step-by-step explanation:

hope it helps you!!!!!!!