Category Archives: Arithmetic

LCM and GCF – And Something Really Cool

In a previous post, we learned that you don’t have to use a LCM (least common multiple) to find a common denominator to add fractions. In another post, we learned that you can use primes instead of the GCF (greatest common factor) to reduce fractions. And now I’m going to demonstrate that finding the LCM… Continue Reading →

Adding Fractions: Why Avoiding Common Denominators Works

I wrote this post showing that adding fractions can be done using the algebraic definition of addition of rationals: MathHeadInc (via twitter) has requested a video showing why this works. I aim to please. Here is the video showing why adding fractions using a common denominator is the same as the definition of addition of… Continue Reading →