Final answer:
To find the fraction of the trail Ava is in charge of, divide the length Ava is in charge of by the total length of the trail. To find the value of 'a', divide the total length of the trail 'b' by the fraction Ava is in charge of 'a/b'.
Step-by-step explanation:
To find the fraction of the trail that Ava is in charge of, we need to know the total length of the trail and the length of the trail Ava is in charge of. Let's say the total length of the trail is 'b' miles and the length of the trail Ava is in charge of is 'a' miles. The fraction of the trail Ava is in charge of is a/b.
To write a division equation to find the value of 'a', we can divide the total length of the trail 'b' by the fraction of the trail Ava is in charge of. The division equation would be b ÷ (a/b) = b * (b/a) = b^2/a. To find the value of 'a', we need to know the value of 'b'.