A goalless tie dominated the first half, amid intense competition for the second card between the two sides.
France, which secured the first card, included several substitutes against Tunisia, which had a chance to compete for qualification, which affected the way the two sides played.
A counterattack, led by Leakey, put Australia in the lead after a distinguished effort by Melbourne City (60).
Denmark put its full weight in the remaining minutes and had more than one opportunity to score, but Australia kept winning.
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France qualified as leaders with six points, on goal difference from runner-up Australia, while Tunisia ranked third with four points, and Denmark came last with one point.