When you divide my fraction by yours, the result is 40. when you divide your fraction by mine the result is x. what is x?

1/40

Step-by-step explanation:

we can use examples lets say yours is 80/15, and mine is 2/15, this successfully results in 40. now lets do mine divided by yours. 2/15 x 15/80(cause we flip in division) is 1/40.

we could use algebra, so we could say x/y divided by z/a is 40, so xa/yz is 40. now we know the ratio of yz to xa is 1 to 40, cause if it isnt, it would not be 40. now we do z/a divided by x/y. this becomes yz/xa, and this would result in the 1 at the top and 40 at the bottom so, 1/40