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# Properties of Arithmetic

Understanding the properties of arithmetic will allow you to simplify complex expressions and do difficult calculations in a flash. Just don't divide by 0...

\[ \left ( 1 + \frac{1}{ \color{red}{4}} \right ) \left ( 1 + \frac{1}{\color{red}{5}} \right ) \left ( 1 + \frac{1}{\color{red}{6}} \right ) \left ( 1 + \frac{1}{\color{red}{7}} \right ) \]

Evaluate the expression above.

What is \(a - (a - b - a - c + a) - b + c?\)

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