Calculate $-0.2$ to the power of $2$ and get $0.04$.
$$0.04\times \frac{27}{1\times 6}+0.105$$
Multiply $1$ and $6$ to get $6$.
$$0.04\times \frac{27}{6}+0.105$$
Reduce the fraction $\frac{27}{6}$ to lowest terms by extracting and canceling out $3$.
$$0.04\times \frac{9}{2}+0.105$$
Convert decimal number $0.04$ to fraction $\frac{4}{100}$. Reduce the fraction $\frac{4}{100}$ to lowest terms by extracting and canceling out $4$.
$$\frac{1}{25}\times \frac{9}{2}+0.105$$
Multiply $\frac{1}{25}$ times $\frac{9}{2}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{1\times 9}{25\times 2}+0.105$$
Do the multiplications in the fraction $\frac{1\times 9}{25\times 2}$.
$$\frac{9}{50}+0.105$$
Convert decimal number $0.105$ to fraction $\frac{105}{1000}$. Reduce the fraction $\frac{105}{1000}$ to lowest terms by extracting and canceling out $5$.
$$\frac{9}{50}+\frac{21}{200}$$
Least common multiple of $50$ and $200$ is $200$. Convert $\frac{9}{50}$ and $\frac{21}{200}$ to fractions with denominator $200$.
$$\frac{36}{200}+\frac{21}{200}$$
Since $\frac{36}{200}$ and $\frac{21}{200}$ have the same denominator, add them by adding their numerators.