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Multiplication By Division: The Mathematics Of Generosity

 

03 November 2014

 

In the context of arithmetic, whenever natural or counting numbers are multiplied, the product is either equal to one of the factors or higher than both factors. It is a multiplication fact. And because division is the inverse operation of multiplication, the quotient between counting numbers is either equal to or lesser than the dividend.

 

Contrariwise, if the factors are proper fractions, then the result is the exact opposite of the previous illustration and it is all because a fraction is a multiplicative inverse or reciprocal of a counting number. Simply put, when fractions are divided, the quotient is higher than the dividend. And when proper fractions are multiplied, the product is smaller than the factors.

 

This is where the miracle of multiplication by division takes place. It is such a wonder but its roots can be traced historically in the story of Jesus. The real miracle is not because Jesus was able to feed the multitude with
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