Converting 1/3 to a decimal involves division. Here’s how you can do it step by step:

**Step 1: **Understand the Fraction

1/3 means 1 divided by 3.

**Step 2:** Set Up the Division

Set up the division with 1 as the dividend and 3 as the divisor.

**Step 3:** Divide

1 is less than 3, so you can’t divide it as is. You add a decimal point to the 1 and bring down a zero, making it 10.

3 goes into 10 three times (9), and you subtract the product (10 – 9 = 1).

**Step 4: **Repeat

Because you have a remainder, bring down another zero and divide again. 3 goes into 10 three times, and you subtract the product (10 – 9 = 1).

This process repeats indefinitely because each time you will have a remainder of 1.

**Step 5:** Recognize the Pattern

Since the remainder repeats, the division will result in the digit 3 repeating endlessly.

**Step 6:** Write the Decimal

The decimal representation of 1/3 is 0.333…, which can be written with a bar notation as 0.\overline{3} to indicate that the 3 is repeating.