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

  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.

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.

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