+15001 a fully simplified fraction
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\(0.\overline{42}\cdot 100=42.\overline{42}\)
\(\underline{0.\overline{42}\cdot 1=\ 0.\overline{42}}\)
\(0.\overline{42}\cdot 99=42\\ 0.\overline{42}=\dfrac{42}{99}\\ \color{blue}\dfrac{99}{100}\cdot 0.\overline{42}=\dfrac{99\cdot 42}{100\cdot 99}=\dfrac{21}{50}\)
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