To convert the fraction 1/12 into a decimal, you need to perform division. This involves dividing the numerator (1) by the denominator (12).
Here’s how you can do it step by step:
- Take the fraction 1/12 which means 1 divided by 12.
- Set up the division: 1.000 (you add a decimal point and zeroes to facilitate the division).
- Now, divide:
- 12 goes into 1, 0 times. So, you write 0. as the whole number part and bring down a 0, making it 10.
- 12 goes into 10, 0 times again. Write another 0, and bring down another 0, making it 100.
- 12 goes into 100, 8 times, because 12 x 8 = 96. Write 8 after the decimal point. Subtract 96 from 100, which leaves you with 4.
- Bring down another 0 to make it 40.
- 12 goes into 40, 3 times, since 12 x 3 = 36. Write 3. Subtract 36 from 40 to get 4.
- At this point, you can notice a pattern. You would bring down another 0 to repeat the steps, leading to the decimal continuing as 0.08333….
This means that 1/12 as a decimal is approximately 0.0833, and you will keep seeing the digit 3 repeating.
For convenience, you might round it to 0.083 or 0.0833 depending on the precision you need in your calculations!