Question

How does 1.89 compared to 16/9 ?

Answer 1

There is no single answer to this question. It depends on what is meant by 'compare'.

Explanation:

The question is somewhat ambiguous as it does not tell us what is meant by 'compare'. However, I will provide a few examples.

1) 1.89 and 16/9 are both rational numbers (1.89 may be written as 189/100) However, while 1.89 is defined in 2 decimals, 16/9 is what is called a recurring decimal (1.77777777.......). Here the 7 recurs to infinity. For practical purposes, it is truncated and rounded at the appropriate number of decimals.

2) 1.89 is larger than 16/9 by approx 0.11222

3) Since `1.89/16` is defined in 6 decimals (0.118125), the ratio of 1.89 to 16/9 is 1.063125 (i.e. is not a recurring decimal). Hence, in relationship terms, one could say that 1.89 is 6.3125% larger than 16/9

[I hope this was the sort of thing you had in mind in the question. If not, send me a message defining what you meant by "compared to".]