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What is the ratio 1.12 turned in to a fraction in simplest form?

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asked Jun 13, 2017 45.6k views

2 votes

What is the ratio 1.12 turned in to a fraction in simplest form?

Mathematics
high-school

Rishit asked

by Rishit

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1 Answer

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$x=1.121212...\ \ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=112.121212...\\\\100x-x=112.121212...-1.121212...\\\\99x=111\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=(111:3)/(99:3)\\\\x=(37)/(33)\\\\x=1(4)/(33)\\\\Answer:\boxed{1.121212...=1(4)/(33)}$

JuhaKangas answered Jun 19, 2017