Why are you asking me?
How would I say 'Why are you asking me?' in French? Could I say 'Pourquoi est-ce que tu me demandes?'
Thanks!

Question

Answer

Yes seems good to me. Or maybe you could say 'Tu me demandes pourquoi ?' if it is informal.

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I would say more often 
"pourquoi est-ce que tu me le demandes?" but it's just a feeling, I think "pourquoi est-ce que tu me demandes?" works just fine.
If you really want to emphasise "me" you can even add "pourquoi est-ce que tu me le demandes, à moi !"

However allow me to disagree @Eire_Craig, the casual form would be "pourquoi tu me demandes?"

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La traduction est : Pourquoi tu me demandes ça à moi !
où celle de elohello: "pourquoi est-ce que tu me le demandes, à moi !"

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Looks good to me.

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