## What proportion of rational numbers have repeating decimal representations?

Apropos of absolutely nothing:

Turns out it’s 3/10. Wonder why.

Maybe do this later?
This entry was posted in Uncategorized. Bookmark the permalink.

### 8 Responses to What proportion of rational numbers have repeating decimal representations?

1. everlastingphelps says:

3s. (2×7: 9, 5×7: 12, etc. That explains the 7s.)

2. Aeoli Pera says:

plz to explain “2×7: 9, 5×7: 12”. It looks like you’re adding, not multiplying, but you took the time to use the proper character so I’m confused.

• everlastingphelps says:

I don’t have a why, but this is my intuition. It’s all about 3 (the same way 9 multiplied by something gives you two digits that add up to 9.)

3. Obediah says:

>Wonder why.

Something something zodiacism metaphysics

• MM says:

plumbus

4. isolumikko says:

Since you can write 0.5 as 0.49999999… the answer is “all of them”

• Aeoli Pera says:

Shit, you’re right.

• Aeoli Pera says:

I suppose the question is the opposite: how many rational numbers have decimal representations which are NOT repeating?