SIMPLIFY ALL THE FRACTIONS

Simplify 120546/54201 into it’s lowest terms. By using the normal “eyeball” method, this would basically impossible (or just very very painful) to calculate.

However! Using Euclid’s Algorithm, it is actually very simple to figure out, even by hand.

I liked the algorithm, so I wrote this little program to calculate it.

In action:

Therefore the greatest common divisor is 3, so the simplified fraction is 40182/18067. As proven by Euclid, these are the lowest terms of the requested rational number. By hand, this would only take 10 simple calculations!

 

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