Taking x=-4/9, y=5/12, z=7/18, find:
(a) rational number added to x gives y
(b) rational number subtracted from y gives z
(c) rational number added to z gives x
(d) rational number multiplied by y gives x
(e) reciprocal of x+y
(f) sum of reciprocals of x and y
(g) (x÷y)×z
(h) (x–y)+z
(i) x+(y+z)
(j) x ÷ (y ÷ z)
(k) x–(y+z)
(a) 31/36
(b) 1/36
(c) -5/6
(d) -48/45
(e) -36
(f) 3/20
(g) -56/135
(h) -17/36
(i) 13/36
(j) -56/135
(k) -5/4
Each is simplified using basic operations of rationals.