How do you convert the fraction 1/3 into decimal form?

To convert the fraction 1/3 into decimal form, you can use long division or remember that this is a commonly known conversion.

Here’s how to do it using long division:

1. Divide 1 by 3.
2. 3 goes into 1 zero times, so you start with 0.
3. Add a decimal point and bring down a zero, making it 10.
4. 3 goes into 10 three times (3 × 3 = 9), so you write 3 after the decimal.
5. Subtract 9 from 10 to get 1, then bring down another zero, making it 10 again.
6. Repeat this process: 3 goes into 10 three times repeatedly, which adds another 3 to the decimal places.

This means that:

• 1/3 in decimal form is 0.333…

This decimal is a repeating decimal, often denoted as 0.3̅, where the bar over the 3 indicates that it repeats indefinitely.

So, in summary, the fraction 1/3 converts to the decimal 0.333… or 0.3̅.