SOLUTION: Make the following decimal 0.5555... into fraction Thanks :)

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Question 961651: Make the following decimal 0.5555... into fraction Thanks :)
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Fit this to geometric series.
0.5555repeating=5%281%2F10%2B1%2F100%2B1%2F1000%2B1%2F10000%2Bcontinued%29
5%281%2F10%5E1%2B1%2F10%5E2%2B1%2F10%5E3%2B1%2F10%5E4%2Bcontinued%29
5%28%281%2F10%29%2F%281-1%2F10%29%29
5%28%281%2F10%29%2F%289%2F10%29%29
5%281%2F9%29
Perform the long division and you will find 1%2F9=0.11111repeating.
You could then see that 5%280.11111repeating%29=0.5555repeating.

highlight%285%281%2F9%29=highlight%285%2F9%29%29;
You can check this through long multiplication again if you want to be sure.
5 divided by 9 will give 0.555555.....

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Make the following decimal 0.5555... into fraction
1/0.5555≈1.8001...
1/1.8001≈0.5555
try 10/18=0.5555...