Question

Simplify: $\frac{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}{(0.006{)}^2+(0.047{)}^2+(0.0079{)}^2}$

Answer 1

$\frac{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}{(0.006{)}^2+(0.047{)}^2+(0.0079{)}^2}$$=\frac{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}{{\left(\frac{0.06}{10}\right)}^2+{\left(\frac{0.47}{10}\right)}^2+{\left(\frac{0.079}{10}\right)}^2}$

$=\left[\frac{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}{\frac{1}{\left({10}^2\right)}\left(\right(0.06{)}^2+(0.47{)}^2+(0.079{)}^2)}\right]$

$=100\left[\frac{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}{(0.06{)}^2+(0.47{)}^2+(0.079{)}^2}\right]$

$=100$