If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = \(\frac{a b}{4}\). Then, \(3 *\left(\frac{1}{5} * \frac{1}{2}\right)\) is equal to
A. \(\frac{3}{160}\)
B. \(\frac{5}{160}\)
C. \(\frac{3}{10}\)
D. \(\frac{3}{40}\)
Answer:A
If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = \(\frac{a b}{4}\). Then, \(3 *\left(\frac{1}{5} * \frac{1}{2}\right)\) is equal to
A. \(\frac{3}{160}\) B. \(\frac{5}{160}\) C. \(\frac{3}{10}\) D. \(\frac{3}{40}\)