For example, look at
Can you think of a better way to write this using smaller numbers? Let's see...
What if we divided the numerator and denominator by100?
Oh, yeah... This is a lot better!
Here are the two rules:
1) You can divide the numerator and the denominator by any number... as long as you use the same number for both!
For example, you can't divide the numerator by 3 and the denominator by 5.(2) You need to get the numerator and denominator as small as possible.
Let's just dive right in and do one! I'm going to go really slowly and I'll show each step. After you see a few examples, it's going to start making sense!
The first thing we do is change the way the problem is written...
The first math step is to look at that first number of the guy we are dividing into... that 6. This is the division step!
We want to see how
many times 2 will go into6... 2 goes into 6 threetimes, right? So, we put that 3 right above the 6:That wasn't hard at all, was it?
Here's the second step... This is the multiplication step!
Multiply the 3 and the 2and put the answer right under the 6:Here's the third step... This is the subtraction step!
Do the subtraction...
That's 6 - 6 = 0Hey, we just finished the first chunk of steps! And it wasn't that bad!
Division, then multiplication, then subtraction.
Let's call it the DMS loop!
Hey, those letters go alphabetically!! You can use that to remember it!
OK, now we're going to do the exact same thing, but with a different number...
Drag the 8 down.Now, let's go back into our division, multiplication, subtraction loop using the 8!
Division:We want to see how
many times 2 will go into8... 2 goes into 8 fourtimes... So, we put that 4right above the 8:
Multiplication:Multiply the 4 and the 2and put the answer right under the 8:
Subtraction:That's 8 - 8 = 0
Guess what? We are DONE! (No way.) WAY!
We used the 6 and the 8...
and we ended with a 0
at the bottom...
Which I made into a "happy
face" because I was so
happy to be done!The answer is 34.
So, we do our DMS loop (division-multiplication-subtraction) until we use all the numbers in the guy we are dividing into (that guy is officially called the dividend).
We have two ways to check whether our answer is right or not:
1)Grab a calculator and do 68 divided by 2.(2)Use multiplication! Remember that division and multiplication go together... They undo each other! So, 34 x 2 should = 68! This is great practice for you.
Let's do a bunch more...