What is 4/9 as a decimal

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what is 4/9 as a decimal

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What is 4/9 as a decimal?

To convert the fraction \frac{4}{9} into a decimal, you can perform the division of the numerator (4) by the denominator (9).

Here’s how to do it step-by-step:

  1. Setup the Division:

    • You are dividing 4 by 9. You can write it as (4 \div 9).

  2. Perform the Division:

    • Since 4 is smaller than 9, you add a decimal point and zeroes to 4 to perform the division.
    • So, it becomes 4.000000…

  3. Division Process:

    • 9 goes into 40 four times (since 9 * 4 = 36).
    • Subtract 36 from 40, which gives you a remainder of 4.
    • Bring down another 0, making it 40 again.
    • Repeat the process.

Thus, you continue to get 4 each time you repeat the cycle of dividing 40 by 9.

The decimal representation of \frac{4}{9} is a repeating decimal:

\frac{4}{9} = 0.\overline{4}

where the bar over the digit 4 indicates that this digit repeats indefinitely. Therefore, \frac{4}{9} as a decimal is 0.\overline{4}.