# What is 4/9 in decimal form?

#### Understand the Problem

The question is asking to convert the fraction 4/9 into its decimal form. This involves performing a division of the numerator (4) by the denominator (9).

0.4̅ (repeating)

The decimal form of 4/9 is 0.4444..., which can be written as 0.4̅ (repeating).

#### Steps to Solve

1. Set up the division problem

Set up the long division of 4 divided by 9.

1. Perform the division

Since 4 is less than 9, we add a decimal point and zero to 4, making it 40. Now, we divide 40 by 9. 40 divided by 9 is 4 with a remainder of 4.

1. Repeat the process

Repeat the division with the new remainder. Bring down another zero to make it 40 again. 40 divided by 9 is again 4 with a remainder of 4.

1. Identify the repeating pattern (if any)

Notice that this process will continue indefinitely, showing that the decimal repeats.

Therefore, the decimal form of 4/9 is 0.

The decimal form of 4/9 is 0.4444..., which can be written as 0.4̅, indicating that 4 is repeating.

The decimal form of 4/9 is 0.4444..., which can be written as 0.4̅ (repeating).