Find the value of: $\frac{(0.01)^{2}+(0.22)^{2}+(0.333)^{2}}{(0.001)^{2}+(0.022)^{2}+(0.0333)^{2}}$.
Answer
Answer (as printed):
Explanation
Given expression $=\frac{a^{2}+b^{2}+c^{2}}{(a)^{2}+(b)^{2}+(c)^{2}}$, where $a=0.01, b=0.022, c=0.0333=\frac{100\left(a^{2}+b^{2}+c^{2}\right)}{\left(a^{2}+b^{2}+c^{2}\right)}=100$.
Explanation as extracted from the printed page; notation may be imperfect.