What is the decimal equivalent of 1/8?

To understand why the decimal equivalent of 1/8 is 0.125, we can break down the process of converting a fraction to a decimal. A fraction represents a division; in this case, 1 divided by 8.

When you divide 1 by 8, you are looking for how many times 8 fits into 1. Since 8 is larger than 1, the answer starts with a decimal. By performing the division:

1. First, you can recognize that 1 is equal to 1.000 when considering decimal points for the division.
2. Dividing 1.000 by 8, you find that 8 goes into 10 once, with a remainder. You continue the division process:
   • 1.000 divided by 8 gives you 0.125.
   • Therefore, as the decimal rounds out from the division, you see that 1/8 corresponds to 0.125.

By this method, the decimal representation clearly shows that 0.125 is indeed the correct equivalent for 1 divided by 8.