Step-by-step explanation: To write 2/9 as a decimal, we begin by dividing 9 into 2.
Since 9 doesn't divide into 2, we write a decimal point and a zero after the 2 so that we can divide 9 into 20.
9 divided into 20 two times . so we write a 2 in our answer above the zero. 2 multiplied by 9 is 18 and 20 - 18 is 2.
Now, we write another zero under the division sign and bring down the zero so we have 20. Again, 9 divides into 20 two times, 2 x 9 is 18, and 20 - 28 is 2.
Notice that there seems to be a pattern forming. To make sure that this is true, we write another zero under the division sign and bring down the zero so we have 20. 9 divided into 20 two times, 2 x 9 is 18, and 20 - 18 is 2.
Our decimal does not seem to be ending and our same digit is repeating.
Therefore, 2/9 converted into a decimal is 0.2 repeating.