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
276 144 132
144 132 12
132 12 0
So 12 is the largest divisor of 144 and 276.

eq001

eq002

So 144/276 reduces to 12/23.