What is 2/9 as a decimal

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:

  1. Set up the division: You want to divide 2 by 9.

  2. 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.