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OpenStudy (anonymous):
What is 0.14 repeating as a ratio of two integers?
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OpenStudy (unklerhaukus):
\[0.141414...=0.\dot1\dot4\] \[x=0.\dot1\dot4\\100x=14.\dot1\dot4\\100x-x=14.\dot1\dot4-0.\dot1\dot4\\99x=14\]
OpenStudy (anonymous):
wait? you can solve for infinite decimals with algebra? omg, that is amazing!
OpenStudy (unklerhaukus):
with this method you can prove \[0.999...=0.\dot9=1\]
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