Question

$5.\overline{36}$ can be represented as

• A. $\frac{59}{11}$
• B. $\frac{69}{21}$
• C. $\frac{2}{11}$
• D. $\frac{6}{11}$

Answer 1

The correct option is A $\frac{59}{11}$

$Z=5.\overline{36}$
$\begin{array}{c}100Z=\mathrm{536.3636...}1)\\ Z=\mathrm{5.3636...}2)\\ -------\\ 99Z=531.000\end{array}$

$($ On subtracting equation $1)$ from $2)$ $)$
$Z=\frac{531}{99}$

$5+\frac{36}{99}$ $=5+\frac{4}{11}$

$=\frac{59}{11}$

So. option A is correct.