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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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