Question

The ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:3, sub duplicate ratio of 81:256 and sub-triplicate ratio of 125:512 is _____​

Answer 1

Answer:

$\frac{1}{120}$

Step-by-step explanation:

$duplicate \: of \: 4:5 = \frac{16}{25}$

$tripicate \: of \: 1:3 = \frac{1}{27}$

$sub duplicate of 81:256 = \frac{9}{16}$

$sub \: triplicate \: of 125:512 = \: \frac{5}{8}$

$now \: mulitiply \: (16 \times 1 \times 9 \times 5) :(25 \times 27 \times 16 \times 8)$

$= \frac{1}{120}$