Ratio for Arithmetic Operations Formula - Euclidean Plane

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Formula

Formula:

Addition:
C_a = (a1/b1) + (a2/b2) = ((a1*b2) + (a2*b1)) / (b1 * b2)

Subtraction:
C_s = (a1/b1) - (a2/b2) = ((a1*b2) - (a2*b1)) / (b1 * b2)

Multiplication:
C_m = (a1/b1) * (a2/b2) = ((a1*a2) / (b1*b2))

Division:
C_d = (a1/b1) / (a2/b2) = ((a1*b2) / (b1*a2))

Where,
C_a = Ratio Addition
C_s = Ratio Subtraction
C_m = Ratio Multiplication
C_d = Ratio Division
a1, a2 = Numerator Input
b1, b2 = Denominator Input