Question

Insert six rational numbers betwwen 3/4 and 7/8​

Answer 1

Answer:

13/16,

Step-by-step explanation:

Write 3/4 as 6/8. Now the problem is more clearly to find that rational number between 6/8 and 7/8. why its 3/4 to 6/8 to make the denominater same we will divide 8 by 4 in 3/4 .so,its 2 .we will multiply 4 by 2 its 8 .now all the denominater is same .so we will now multiply 3 by 2 in 3/8 .its 6/8 and 7/8.

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 infinites or not defined.

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