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).
Answer
0.4̅ (repeating)
Answer for screen readers
The decimal form of 4/9 is 0.4444..., which can be written as 0.4̅ (repeating).
Steps to Solve
- Set up the division problem
Set up the long division of 4 divided by 9.
- 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.
- 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.
- 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.
Final answer
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).
More Information
Repeating decimals are often represented with a bar over the digits that repeat. This is a way of showing that the pattern continues indefinitely.
Tips
A common mistake is to stop the division early and not recognize the repeating pattern. Continue the division process until the pattern becomes clear.
