Student: I understand how to add and subtract fractions, but multiplying and dividing seems different.
How is it done?

Mentor: We'll start with multiplying. It is a little bit more straight-forward. Simply multiply the
numerator and multiply the
denominator.

To solve 2/3 x 3/4

multiply the numerators 2 and 3 (which will be 6)

and then the denominators 3 and 4 (which will be 12)

so 2/3 x 3/4 = 6/12

Student: And I already learned that I can reduce that fraction to 1/2 by dividing both numbers by 6.
How does it work when I divide numbers?

Mentor: Let's try it with the problem 2/7 divided by 2/5. There are several ways to look at this, but
one way is to invert the fraction doing the dividing, and then multiply the numbers across.
Invert means to turn upside down, so the steps of the problem look like this: