"Han er den bedste brandmand i byen."

Translation: He is the best fireman in town.

[MarinaSo09]

why is it byen and not by there is no the

[RyagonIV]

"In town" is a fixed phrase which can't be translated into Danish just like that. You need the slightly longer form of "in the city".

[stikuts]

what is a female firefight called? brandkvinde?

[Euhan1]

Kvindelig brandmand. It's a bit of an oxymoron byt there you are.

[KyleJDahl]

Equal to the phrase 'Madam Chairman'.

[deactivated user]

What's the difference between ild and brande?

[RyagonIV]

Atze, "en ild" refers to a fire in general, "en brand" is an unwanted fire that's out of control.

• kaminild - a ... fireplace fire?
• skovbrand - a forest fire

[J.TEKEL]

"Brænd" is destructive
"Ild" is just a flame.

I like this song where both terms pop up:
Joey Moe ft. Nik&Jay - Tænder En Ild

...Brænd alarm, brænd alarm.
Jeg tror vi smelter sam'.
(Ved du hvad du gør ved mig baby?)
Du tænder en ild ind' i mig, bo-bo-bom-bom.
Mit hjerte brænder, det brænder.
- Det brænder kun kun, kun for dig'iaj.
Sig mig er der hjælp vej?
(Iiiuh uhiuuu)...

[HastaLaVista83]

As far as I know the word "brænd" as you write it does not exist.

It's either "brand" (uncontrolled fire) or "brænde" (wood to make a fire).