Simplifying results from rat function

Suppose I have found the decimal value:
0.642857142857143
Which by the way I know to be 9/14
if I go:
result =rat(0.642857142857143)
I get the interesting symbolic output:
'1 + 1/(-3 + 1/(5))'
How do I now go about turning this symbolic numerical expression into something
like '9/14' ?
I thought maybe simplifyFraction would suffice, but looks like that is reserved for algebraic espressionss

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