Question

An rational no. Between 5and6

Answer 1

Answer:

Step-by-step explanation:

That’s all fractions (i.e.: quotients of two integers) that are larger or equal to 5, and also smaller or equal to 6.

Otherwise said: all n\m (with positive integers n and m) for which the following two inequalities hold:

n≥5⋅m and n≤6⋅m.

There are infinitely many such rational numbers. Ordered by increasing numerator, and of course just mentioning the “smallest” representation of equal numbers, the first few are:

5\1,6\1,11\2,16\3,17\3,21\4,23\4,26\5,27\5,28\5,29\5,31\6,35\6