Is 2/15 a Repeating Decimal?

Yes, 2/15 is a repeating decimal. When you divide 2 by 15, you get approximately 0.1333…, where the digit 3 repeats indefinitely.

To understand why this happens, we can look at the long division method for dividing 2 by 15:

1. 15 goes into 20 (2.0) once, which gives us 1 as the first digit after the decimal.
2. Subtracting 15 from 20 leaves us with 5, and bringing down a 0 gives us 50.
3. 15 goes into 50 three times, which gives us the next digit of 3.
4. Subtracting 45 from 50 leaves us with 5 again, and once more, bringing down a 0 gives us another 50.
5. This process repeats, generating the same sequence of digits, hence the decimal 0.1333… is classified as repeating.

In summary, since the digit 3 continues to repeat, 2/15 is indeed a repeating decimal.