Question

find 4 rational numbers between 3/4 and 7/4.
with clear explanation please.​

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.