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Interesting application, this could really become a cool game mechanic.

How would you expand on it or what kind of larger game do you think this would fit?

Well, it would fit it's own game! It becomes very predictable after a few minutes, so it takes away the fun of the game. Maybe implement a AI to play against? Because the current enemy hit's absolutly nothing. Look into making a working gameplay loop. My suggestion are perhaps math related powerups and some way to interact with an enemy or the enviroment.

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It seems like adding new math notation (like addition or subtraction of fractions) would make the player have to interpret/calculate them may help increase the difficulty and diversity as of the game.

An earlier version had decimals and percentages as upgrades but no opponent, but I wanted this interactive to focus primarily on simple fractions. Maybe in the future I'll revisit this idea and develop it further.