what is 2/9 as a decimal
What is 2/9 as a decimal?
Answer: To convert the fraction \frac{2}{9} to a decimal, you can perform the division of the numerator (2) by the denominator (9). Here’s a step-by-step process to achieve this:
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Set up the division: You want to divide 2 by 9.
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Perform the division:
- 2 divided by 9 equals approximately 0.222.
Here, we’ll demonstrate the long division process:
- 9 goes into 2 zero times.
- Put a decimal point and add a zero to make it 20.
- 9 goes into 20 two times (2), which makes it 18 (9 * 2).
- Subtract 18 from 20 to get a remainder of 2.
- Bring down another zero, making it 20 again.
- 9 goes into 20 two times (2), which makes it 18 (9 * 2).
- Subtract 18 from 20 to get a remainder of 2.
This process repeats indefinitely, showing that 2/9 results in a repeating decimal:
\frac{2}{9} \approx 0.\overline{2}
Hence, \frac{2}{9} as a decimal is 0.\overline{2}, where the line over the 2 indicates that it is a repeating decimal.