Convert decimal number $165.6$ to fraction $\frac{1656}{10}$. Reduce the fraction $\frac{1656}{10}$ to lowest terms by extracting and canceling out $2$.
$$\frac{60453}{10}+\frac{828}{5}=2^{2}$$
Least common multiple of $10$ and $5$ is $10$. Convert $\frac{60453}{10}$ and $\frac{828}{5}$ to fractions with denominator $10$.
$$\frac{60453}{10}+\frac{1656}{10}=2^{2}$$
Since $\frac{60453}{10}$ and $\frac{1656}{10}$ have the same denominator, add them by adding their numerators.