SOLUTION: Express in fractional form. -4.35777...

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Question 722043: Express in fractional form. -4.35777...
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
We can worry about the minus sign later.
Let's consider x= 4.35777.....
1000x= 4357.7777...
100x= 435.7777...
1000x-100x= 4357.7777... - 435.7777...
900x=+3922
So x=3922%2F900.
We can simplify that fraction by dividing numerator and denominator by 2
x=1961%2F450
It cannot be simplified any further, because 1961 and 450 have no factors in common.
So 4.35777..... =1961%2F450
and -4.35777..... = -1961%2F450