Reducing a Fraction

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Suppose we want to reduce the fraction 144/276. First we use the Euclidean Algorithm to find the largest divisor of 144 and 276.

Big number Small number Remainder
276144132
14413212
132120
So 12 is the largest divisor of 144 and 276.

eq001

eq002

So 144/276 reduces to 12/23.