The value of $$\frac{3}{{{1^2} \times {2^2}}} + $$$$\frac{5}{{{2^2} \times {3^2}}} + $$$$\frac{7}{{{3^2} \times {4^2}}} + $$$$\frac{9}{{{4^2} \times {5^2}}} + $$$$\frac{{11}}{{{5^2} \times {6^2}}} + $$$$\frac{{13}}{{{6^2} \times {7^2}}} + $$$$\frac{{15}}{{{7^2} \times {8^2}}} + $$$$\frac{{17}}{{{8^2} \times {9^2}}} + $$$$\frac{{19}}{{{9^2} \times {{10}^2}}}$$is = ?

• A. $\frac{1}{{100}}$$
• B. $\frac{{99}}{{100}}$$
• C.