OK, OK, OK!? Wait a minute here!? How on earth did I know to multiply that guy by 125?!

Heh, heh...? Because I'm smart!? Alright, I'll tell you how I knew.

I know that I want that denominator to be 10 or 100 or 1000 or 10,000... a power of 10...? And 10's are made up of 2's and 5's:

powers of 10's and their equivalent "2 and 5" pairs

So, we need a PAIR of 2's and 5's!

Look at this guy:

3/4

fraction to decimal conversion example

Here's another one:

3/50

fraction to decimal conversion example

Note that this will ONLY work if your denominator is made up of nothing but 2's and/or 5's.

Can you convert? 7/75 this way?

fraction example

But, there will be another way...? There will be another way.

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