Question

Find all possible values of 'm' and 'n. where m and n
are positive integers such that 1/m+1/n=1/7​

Answer 1

Step-by-step explanation:

1/m+1/n=1/7

m+n/mn=1/7

mn/(m+n) =7

7m+7n=mn

7m=mn-7n

7m=n(m-7)

n=7m/(m-7)

take an integer for m which gives integer value for n

m=8

n=56

1/8+1/56=1/7