Search any question & find its solution
Question:
Answered & Verified by Expert
$0.5737373 \ldots$ is equal to
Options:
Solution:
1937 Upvotes
Verified Answer
The correct answer is:
$\frac{284}{495}$
Let $x=0.5737373 \ldots$
$$
\begin{aligned}
\Rightarrow & 10 x &=5.737373 \ldots \\
\Rightarrow & 1000 x &=573.7373 \ldots \\
\Rightarrow & 1000 x-10 x &=573-5 \\
\Rightarrow & 990 x &=568 \\
\Rightarrow & x &=\frac{568}{990} \\
\Rightarrow & x &=\frac{284}{495}
\end{aligned}
$$
$$
\begin{aligned}
\Rightarrow & 10 x &=5.737373 \ldots \\
\Rightarrow & 1000 x &=573.7373 \ldots \\
\Rightarrow & 1000 x-10 x &=573-5 \\
\Rightarrow & 990 x &=568 \\
\Rightarrow & x &=\frac{568}{990} \\
\Rightarrow & x &=\frac{284}{495}
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.