A fraction r is equivalent to 18.75%. What is the value of the expression $$\frac{8^2}{9} (2r)^2 \ ?$$​​

Correct option is A

Given:

A fraction r is equivalent to 18.75%. We need to find the value of the expression $$\frac{8^2}{9} \times (2r)^2.$$​​

Solution:

First, convert 18.75% to a fraction:

r = $$\frac{3}{16}$$​

Substitute r =$$\frac{3}{16}$$​ into the expression:

$$\frac{8^2}{9} \times (2r)^2 = \frac{8^2}{9} \times (2 \times \frac{3}{16})^2 \\ \ \\= \frac{64}{9} \times \left( \frac{6}{16} \right)^2 = \frac{64}{9} \times \frac{36}{256} \\ \ \\= \frac{64 \times 36}{9 \times 256} = \frac{2304}{2304} = 1$$​