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[tex] \text{Let \( \bf x=0 . \overline{6}=0.6666 \ldots \)}[/tex]
Multiplying both sides by 10 (since one digit is repeating), we get
[tex]\[ \begin{array}{l}\\ \\ \\ \displaystyle\bf 10 x=0.666 \\ \\ \\ \\ \displaystyle\bf \Rightarrow 10 x=6+0.6666 \\\\ \\ \\ \displaystyle\bf \Rightarrow 10 x=6+x \\\\ \\ \\ \displaystyle\bf \Rightarrow 10 x x=6 \\ \\ \\ \\ \displaystyle\bf \Rightarrow 9 x=6 \\\\ \\ \\\boxed{\color{red} \displaystyle\bf \Rightarrow x=\frac{6}{9} \: \: \: } \end{array} \][/tex]
[tex] \text{ Thus, \( 0 . \overline{6}=\dfrac{2}{3} \)}[/tex]
Here p=2
[tex] \tt \[ q=3(\neq 0) \][/tex]
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Step-by-step explanation:
6/10
47/100
1/1000
Please Mark Brainliest.
Step-by-step explanation:
[tex] \text{Let \( \bf x=0 . \overline{6}=0.6666 \ldots \)}[/tex]
Multiplying both sides by 10 (since one digit is repeating), we get
[tex]\[ \begin{array}{l}\\ \\ \\ \displaystyle\bf 10 x=0.666 \\ \\ \\ \\ \displaystyle\bf \Rightarrow 10 x=6+0.6666 \\\\ \\ \\ \displaystyle\bf \Rightarrow 10 x=6+x \\\\ \\ \\ \displaystyle\bf \Rightarrow 10 x x=6 \\ \\ \\ \\ \displaystyle\bf \Rightarrow 9 x=6 \\\\ \\ \\\boxed{\color{red} \displaystyle\bf \Rightarrow x=\frac{6}{9} \: \: \: } \end{array} \][/tex]
[tex] \text{ Thus, \( 0 . \overline{6}=\dfrac{2}{3} \)}[/tex]
Here p=2
[tex] \tt \[ q=3(\neq 0) \][/tex]