Now, Let me give you a Lesson of Fire U_U
A-rank fire vs A-rank wind : Fire takes over the wind and becomes a fire/wind combo
S-rank fire vs A-rank wind : Fire takes over the wind and becomes a fire/wind combo
A-rank water vs A-rank fire : Water puts it out and continues.
S-rank water vs A-rank fire : Same as above.
A-rank water vs S rank fire : Both jutsus cancel each other out and steam is created.
Fire - Lightning = Equally strong, these two elements are almost impossible to mix, i guess a few special lightning jutsus that wrap around the fire could mix with it, but it wouldn't create a special combo.
Fire - Earth = The fire heats the earth up, thereby causing it to melt, and turn into the substance known as Magma/Lava.
Fire - Water = Steam, a good way to conceal yourself, the fire heats the water up and thereby turns it into steam. The Steam itself can't be used as an attack, (exception - Han) but it's a great way to confuse your opponent.
Fire - Wind = Stronger fire, a good and often used combo, but it isn't exactly a new element or anything.
Yu Undarstand?
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Now Go stand there in the middle of the Plain ok?