∆ABC is similar to ∆DEF. Find the ratio between ∆DEF and ∆ABC. Express the answer as a fraction in simplest form.

The ratio between the two similar triangles, ∆DEF and ∆ABC, is equal to the ratio of their corresponding side lengths.

Let's denote the lengths of the corresponding sides of ∆DEF as EF, DE, and FD. Correspondingly, the lengths of the corresponding sides of ∆ABC are AB, BC, and CA.

To find the ratio, we need to compare the lengths of these sides:

EF/AB = DE/BC = FD/CA

Therefore, the ratio between ∆DEF and ∆ABC is EF/AB, DE/BC, or FD/CA.

Since you didn't provide any specific side lengths or a diagram, it is not possible to calculate the ratio or express it as a fraction in simplest form.