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Convert  repeating 0.296 to a fraction in simplest form.

 Feb 20, 2024
 #1
avatar+1624 
+1

Let S = 0.296296296296...

1000S = 296.296296296... = S + 296

999S = 296

S = 296/999 = (37)(8)/(37)(27) = 8/27 

 Feb 21, 2024

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