How to convert a recurring decimal to a fraction. SUBTITLED 0:00 Introduction 0:15 Write decimal as x 0:44 Write 100x 1:12 Subtract 1:45 Divide 1:52 Cancel 2:05 Check?
This is a great fraction for finding the passing of the 2 hands of a clock. If you take the total number of times they pass in 12 hours which is 11, and the total minutes in 12 hours which is 720, you can calculate that the first time the hands pass is at 1:05 and 5/11! Also, if you figure out this time by repeated addition, you realise that 5/12 + 5/144 + 5/1728 and so on forever equals 5/11 which I thought was pretty cool!
This is a great fraction for finding the passing of the 2 hands of a clock. If you take the total number of times they pass in 12 hours which is 11, and the total minutes in 12 hours which is 720, you can calculate that the first time the hands pass is at 1:05 and 5/11! Also, if you figure out this time by repeated addition, you realise that 5/12 + 5/144 + 5/1728 and so on forever equals 5/11 which I thought was pretty cool!
Wow! How did you think of doing that?
I never seen that before! Great stuff!
Cool, thanks! Tomorrow we look at a harder example.
Neat!
Thank you!
P
Did you check the answer??