Subtract $0.\overline{01}$ from 0.02 and express the result as a fraction.
+14915 Subtrahiere $0.\overline{01}$ von 0,02 und drücke das Ergebnis als Bruch aus.
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\(0.02-0.\overline{01}=0.00\overline{98}\)
\(0.009898\overline{98}\) = x
- \(\underline{ 0.989898\overline{98}}\) = 100x
\(-0.98\) = - 49/50
\(x-100x=-\frac{49}{50}\\ -99x=-\frac{49}{50}\\ x=\dfrac{49}{99\cdot 50}=\dfrac{7^2}{3^2\cdot 11\cdot 5^2\cdot 2}\)
\(0.02-0.\overline{01}=\dfrac{49}{4950}\)
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