What is the value of $$\frac{2.75\times2.75\times2.75-2.25\times2.25\times2.25}{2.75\times2.75+2.75\times2.25+2.25\times2.25}$$ is

$$\frac{2.75\times2.75\times2.75-2.25\times2.25\times2.25}{2.75\times2.75+2.75\times2.25+2.25\times2.25}$$
$$=\frac{2.75^{3}-2.25^{3}}{2.75^{2}+2.25^{2}+{2.75}\times{2.25}}$$
We know that,
$$a^{3}-b^{3}=(a-b)(a^{2}+b^{2}+{a}\times{b})$$
Hence,
$$2.75^{3}-2.25^{3}=(2.75-2.25)(2.75^{2}+2.25^{2}+{2.75}\times{2.25})$$
So,
$$\frac{2.75^{3}-2.25^{3}}{2.75^{2}+2.25^{2}+{2.75}\times{2.25}}$$
$$=\frac{(2.75-2.25)(2.75^{2}+2.25^{2}+{2.75}\times{2.25})}{2.75^{2}+2.25^{2}+{2.75}\times{2.25}}$$
$$=2.75-2.25$$
$$=0.5$$
$$=\frac{1}{2}$$
Hence, Correct Option is D.