Modular multiplicative inverse is used for The Chinese Remainder Theorem and RSA algorithm. You can visit Wikipedia.
Normal Modulus
X = M (mod Y)
You can solve that with M = mod(X,Y)
Inverse Modulus
X.B = M (mod Y)
given X,M,Y calculate B
B = inverse_modulus(X,M,Y)
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Sorry about that...it was only for learning purposes...