How to Quiet an operator to avoid Query fail

Question

This Query fail, due to divide by zero error message...

<|"a" -> 1, "b" -> 0|> // Query[#a/#b &]

Missing["Failed"]

...can be prevented by wrapping Quiet around the division:

<|"a" -> 1, "b" -> 0|> // Query[Quiet[#a/#b] &]

ComplexInfinity

But will not work if wrapped outside Query.

Is there a way to wrap Quiet around operators - eg it's handy to Apply[...] some operation around a list:

<|"a" -> 1, "b" -> 0, "c" -> 2|> // 
 Query[{{"a", "c"}, "c"} /* Apply[Divide]]

<|a->1/2,c->1|>

But

<|"a" -> 1, "b" -> 0, "c" -> 2|> // 
 Query[{{"a", "c"}, "b"} /* Apply[Divide]]

Missing["Failed"]

Of course if the operator is deprecated to a function, Quiet can be used, but that's not the point here:

<|"a" -> 1, "b" -> 0, "c" -> 2|> // 
 Query[{{"a", "c"}, "b"} /* Apply[Quiet[Divide[##]] &]]

<|"a" -> ComplexInfinity, "c" -> ComplexInfinity|>

Answer 1

I was going to delete the Q as I realized 2 min after posting that composing with Quiet works: maybe others will find it interesting:

<|"a" -> 1, "b" -> 0, "c" -> 2|> // 
 Query[{{"a", "c"}, "b"} /* Apply[Divide /* Quiet]]

<|"a" -> ComplexInfinity, "c" -> ComplexInfinity|>

Answer 2

Or FailureAction -> None + wrap with Quiet:

<|"a" -> 1, "b" -> 0|> //  Query[#a/#b &, FailureAction -> None] // Quiet

ComplexInfinity

<|"a" -> 1, "b" -> 0, "c" -> 2|> // 
   Query[{{"a", "c"}, "b"} /* Apply[Divide], FailureAction -> None] //
   Quiet

<|"a" -> ComplexInfinity, "c" -> ComplexInfinity|>