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41

Rational arithmetic

• Multiplication is simple:

        # Instead of  z = $(( x * y )), use:
        z_n = $(( x_n * y_n ))
        z_d = $(( x_d * y_d ))

• So is division:

        # Instead of  z = $(( x / y )), use:
        z_n = $(( x_n * y_d ))
        z_d = $(( x_d * y_n ))

• Addition and subtraction are not much harder:

        # Instead of  z = $(( x - y )), use:
        z_n = $(( x_n * y_d - x_d * y_n ))
        z_d = $(( x_d * y_d ))

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Copyright © 2011 M. J. Dominus