The butterfly method is basically what Steven Demme teaches in MUS Epsilon as what he calls the “Rule of Four.” He wants students to understand this (to grasp the underlying concept) before he teaches the method for division where you use the reciprocal. It worked fine for my daughter, but she actually prefers using the inverse and working with GCF’s and LCM’s.
When I was learning math I was taught with the butterfly method. It really made sense to me. I was homeschooled and we used Saxon, but I don’t remember if it was a method my mom or dad knew and taught me or if it was something taught in Saxon. All I knows is that it worked for me 🙂
So how does it work for mixed numbers? Do you have to convert them to improper fractions first? I know you would anyway for multiplication and division, regardless of method, but what about when adding and subtracting?
Criss-cross is what I learned in school. Butterfly looks exactly the same, except it’s drawing a picture to do it. I didn’t know there was another way to do fractions?
And yes, for mixed numbers, we always converted them to improper fractions first. At least, the part of fraction math that I remember…