hello
to convert this rational number to decimal, we can use long division method or simply with our calculator
i'll solve this first with a calculator and then secondly using long division
[tex]\frac{2}{9}=0.222[/tex]
secondly, i'll use long division method to do that
i'll take you through the process in a step wise manner
step 1
divide 2 by 9
that's impossible so you'll add a zero and check if 9 can divide 20
20 is divisible by 9 with a remainder of 2.
write that 2 on top of the upper most line.
multiply that 2 by 9 which will give 18.
subtract 18 from 20 which will give a remainder of 2.
repeat the same process again and again until you find a terminal answer.
in this case, the quotient is a repititive number and you can terminate the division which you find that.
