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4Fe  +  3O₂   →   2Fe₂O₃

Explanation:

The chemical reaction is given as:

          Fe  +  O₂   →   Fe₂O₃

To balance an equation implies that the number of atoms and moles must be conserved.

  using the coefficients a,b and c, let use a mathematical approach to balance the expression;

           aFe  +  bO₂   →   cFe₂O₃

Conserving Fe: a  = 2c

                     O: 2b  = 3c

let c  = 1, a  = 2 , b  =  

  multiply through by 2 ;

         a  = 4, b  = 3 and c = 2

                  4Fe  +  3O₂   →   2Fe₂O₃

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