For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$4 . \overline{185}=\ldots \ldots$
$4 \frac{185}{990}$
$4 \frac{5}{27}$
$\frac{4185}{1000}$
$\frac{4185}{999}$
Add $: 0 . \overline{3}+0.4 \overline{7}$
Find the value
$\left(\frac{125}{64}\right)^{-\frac{2}{3}}$
Show that $0.1 \overline{6}=\frac{1}{6}$
Simplify the following:
$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
Simplify:
$\left(1^{3}+2^{3}+3^{3}\right)^{\frac{1}{2}}$