A Conversation for Converting decimals into fractions

Equivalent Method

Post 1

GTBacchus

For a decimal like x=0.13666666...., I have always done it this way:

10x = 1.3666666...
x = 0.1366666....
------------------
9x = 1.23

900x = 123

x = 123/900

The difference is mostly in knowing what to do at the first step. I just multiply by the power of 10 corresponding to how many digits repeat, in this case 1.


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Equivalent Method

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