Category Archives: Arithmetic

How to Never Find a Common Denominator Again

Do you keep struggling to teach common denominators? Do your kids just not “get it”? Well, it’s time to quit. Yep! You can teach (and do) fractions without ever finding a common denominator. The key is in the definition of addition for rational numbers. If you have two numbers  and  the sum of them is . Granted… Continue Reading →

How to Use Prime Factors to Cancel Fractions

I previously posted about prime factors and about using them in multiplication. Now we’ve got fractions to handle. Before we get in too deep, first let me note the main reason why we do this with arithmetic. In algebra, students will be asked to take a rational expression, factor it and reduce it like this:… Continue Reading →

How to Use Prime Factoring to Win Friends and Influence People

Alright, you might not win friends with this, but the more you can do arithmetic in your head… well… okay, you can’t influence people with it either. Regardless, it’s handy to know and helps with multiplication. Yesterday I posted a couple of videos about factoring numbers into primes. Now it’s time to put those to work.… Continue Reading →