• # question_answer What fraction will come in place of * ? $\frac{1}{4},\,\frac{3}{16},\,\frac{5}{36},\,\frac{7}{64},\,*,\,\frac{11}{144}$. A)  $\frac{8}{18}$                      B)           $\frac{9}{100}$ C)  $\frac{10}{81}$                    D)           $\frac{9}{121}$

In given series, numerators form a series of odd numbers while denominators form a series of squares of even numbers. $\frac{1}{4}=\frac{1}{{{2}^{2}}};\,\frac{3}{16}=\frac{3}{{{4}^{2}}};\,\frac{5}{36}\,=\frac{5}{{{6}^{2}}};$ $\frac{7}{64}=\frac{7}{{{8}^{2}}};\,\frac{11}{144}=\frac{11}{{{12}^{2}}}$ Fraction in place of $*=\frac{9}{{{10}^{2}}}=\frac{9}{100}$