How to represent $21.345676767676767...$ as a fraction ?
MY ATTEMPT :
$$y=21.34567676767676767...$$
$$1000y=21345.67676767676767...$$
$$1000y=21345+0.67676767676767...$$
$$1000y=21345+\frac{67}{99}$$
$$y=\frac{21345}{1000}+\frac{67}{99000}$$
Am I correct ?
You might need to fix your denominator: $$ y = \frac{21\,345}{\color{red}{1000}} + \frac{67}{99\,000} $$ and maybe you'd want to put them together into a single fraction, as $$ = \frac{21\,345\cdot 99}{99\,000} + \frac{67}{99\,000} = \frac{21\,345\cdot 99 + 67}{99\,000} $$