Question

the rational number that exactly lie b/w 11/12 and 12/13 is​

Answer 1

Answer:

GIVEN BELOW

HOPE IT HELPS......

Step-by-step explanation:

These fractions are naturally in their most reduced form. One could transform this into the problem to find numbers k/n

with

113<kn<213(∗)

with n

as small as possible (why?). For n∈{1,2,3,4,5,6} there is no solution to (∗), but with n∈{7,8,9,10,11,12} there are several, all with k=1. So the sought for solutions are k/n∈{1/7,1/8}

.

Hence the answer to the original question with further precondition of smallest possible denominator, i.e. the solutions to

1113=1−213<1−kn<1213=1−113

are 1−1/7=6/7

and 1−1/8=7/8. You can easily check that these numbers lie between 11/13 and 12/13 .