Question

Which is largest in $6\frac{2}{3}\%,\frac{3}{20}$ and 0.14?

Answer 1

​ $$\begin{gathered} \mathrm{We}\mathrm{have}: \\ 6\frac{2}{3}\%=\frac{20}{3}\% \\ =\left(\frac{20}{3}\times \frac{1}{100}\right) \\ =\frac{1}{15} \\ =0.06 \end{gathered}$$
$\mathrm{Also},\frac{3}{20}=0.15$
$$\begin{gathered} \mathrm{The}\mathrm{third}\mathrm{number}\mathrm{is}0.14. \\ \mathrm{Clearly},0.15\mathrm{is}\mathrm{the}\mathrm{largest}. \\ \mathrm{Hence},\frac{3}{20}\mathrm{is}\mathrm{the}\mathrm{largest}. \end{gathered}$$