#### Answer

0.363
place a bar above the whole decimal because it is continuously repeating

#### Work Step by Step

$\frac{4}{11}$ or ($4\div11$)
1)Because the denominator is greater than the numerator start in the hundredths place
2) Add a 0 to 4 making it 40
3) 40 divided by 11 = 3 remainder 7
4) Add a 0 then divide
5) 70 divided by 11 = 6 remainder 4
6) Add a 0 then divide
7) 40 divided by 11 = 3 remainder 7
8) You can now see that 3 and 6 are repeating numbers
9) Take the whole numbers above the radical: 3636
*starting in the hundredths place
Your answer is:0.363