Explanation

To find the fraction midway between 1/5 and 1/7, let's find their average:

Midpoint = ((1/5) + (1/7)) / 2

First, find the common denominator for 5 and 7, which is 35:

(1/5) = 7/35

(1/7) = 5/35

Now, find the average:

Midpoint = ((7/35) + (5/35)) / 2

= (12/35) / 2

= 12/70

= 6/35