How do you convert 0.243 (43 repeating) to a fraction?

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Answer 1 · 2016-03-04T03:27:52

$241/990$

We have

$0.2bar43$

Multiply this by $(1000-10)$ :

$(1000-10)0.2bar43=243.bar43-2.bar43=241$

So, we have

$(1000-10)0.2bar43=241$

Thus

$0.2bar43=241/(1000-10)=241/990$