Question

What fraction is equivalent to 16.6 repeating

Answer 1

The answer is 16 2/3 ?

Answer 2

Answer:

It is 16.666…

let 16.666 be x :

$x = 16.666 - - - (i) \\ 100x = 1666.666 - - - (ii)$

subtract (i) from (ii):

$99x = 1650 \\ \\ x = \frac{1650}{99} = { \boxed{ \boxed{ \frac{50}{3} }}}$