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put this solution on YOUR website! 2.27 express the repeating number as a quotient of two integers
I assume you mean 2.272727272727···
let
x = 2.272727272727··· write the repeating digits several times:
Multiply that equation by 100 put the one above under it, and
subtract:
100x = 227.2727272727···
x = 2.272727272727···
------------------------
99x = 225 the repeating decimals cancel out when you subtract them.
x = 225/99 which reduces to 25/11
Answer 25/11:
Checking:
2.2727···
11)25.0000···
22
3 0
2 2
80
77
30
22
80
77
3···
Edwin