0.12 vs 0.121212... How to convert a decimal to a fraction (regular decimal vs repeating decimal)

[00:00:00]So, this is how you convert a regular decimal and a repeating decimal into a fraction. First, if we only have 0.12, well, we have two decimal places, we have two in the hundredths place, all we have to do is to take the 12 divided by 100 because we have 12/100.

[00:00:21]And then you reduce it. We can do so by dividing the top and bottom by four.

[00:00:26]And we end up 3/25.

[00:00:32]However, if we have 0.12 with a bar, this means we have a repeating decimal, 0.121212.

[00:00:41]The 12s are repeated. Well, in that case, we take the 12 divided by 99 instead. And then can we reduce this?

[00:00:50]Yes, we can do so by dividing the top and bottom by three. And we will end up 4/33.

[00:01:00]Now, to see why, check out this video.