RATIONALS AS VECTORS OF INTEGERS -- [int1, int2] -- TO TOTALIZE (NONZERO) DIVISION. RULES DERIVE FROM CLOSURE OF DEFINED INTEGRAL QUOTIENTS. VECTORS REDUCE TO INTEGRAL VECTOR: [m,1] : m; "EGYPTIAN" VCTR: [1,n] : 1/n; FRACTIONAL VCTR: [m,n] : m/n -- SO SOLIDUS "/" HIDES "EGYPTIAN" & FRACTIONAL VECTORS: 1/n, m/n .     ALERT! SECOND COMPONENT MUST BE NONZERO: NO DIVIDING BY ZERO!   (Thanks to Marcus Kazmierczak.) VECTOR A=[a1,a2] VECTOR B=[b1,b2] RESULT C=[c1,c2] TOTAL OPERATIONS: A + B = [a1*b2+a2*b1,a2+b2], A - B = [a1*b2-a2*b1,a2+b2] A * B = [a1*b1,a2*b2], A / B = [a1*b2,a2*b1]