To convert the fraction 1/15 into a decimal, you’ll need to divide the numerator (1) by the denominator (15).
Here’s how to do that:
- Perform the division: 1 ÷ 15.
- When you divide 1 by 15, you start by determining how many times 15 fits into 1. Since 15 is larger than 1, it fits 0 times. You then add a decimal point and a zero to 1, making it 10.
- Now divide 10 by 15; it fits 0 times again, so you add another zero, making it 100.
- 15 fits into 100 six times (15 x 6 = 90), so you write down 6 and subtract 90 from 100, which leaves you with 10.
- Bring down another zero, making it 100 again. You repeat the previous steps yielding a continued result of 6.
- This shows that the decimal goes on indefinitely, which we write as 0.0666… where the ‘6’ repeats.
Thus, the decimal representation of 1/15 is approximately 0.0667 when rounded to four decimal places, but it’s more accurately represented recurrently as 0.0ζ, where 6 is the repeating digit.
In summary, 1/15 as a decimal is approximately 0.0667.