How do you express 2/3 as a decimal?

To express the fraction 2/3 as a decimal, you can perform the division of 2 by 3. When you do this, you find that 3 goes into 2 zero times, so you put a decimal point and continue dividing.

When you extend the division, you find that 3 fits into 20 six times (since 3 times 6 is 18), resulting in a remainder of 2. This process shows that every time you continue to divide, you will again reach a situation where you are dividing 20 by 3, leading to the same result. Therefore, the digit '6' will keep repeating indefinitely.

Thus, the decimal representation of 2/3 is expressed as 0.666..., which indicates that the digit 6 continues on infinitely. This representation is often written using a bar notation or ellipsis to indicate that the six repeats.