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Convert 3.3636 to a fraction. the .3636 is repeating

Convert 3.3636 to a fraction. the .3636 is repeating
asked 183k views
2 votes
Convert 3.3636 to a fraction.

the .3636 is repeating

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User Muon
by
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1 Answer

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x=3.363636...\qquad\text{multiply both sides by 100}\\\\100x=336.363636...\qquad\text{Make a difference}\\\\100x-x=336.363636...-3.363636...\\\\99x=333\qquad\text{divide both sides by 99}\\\\x=(333:9)/(99:9)\\\\\boxed{x=(37)/(11)}\\\\Answer:\ \boxed{3.\overline{36}=(37)/(11)=3(4)/(11)}

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User Soniya
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