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Taking $x =\frac{-4}{9}, y \frac{5}{12} \; \text{and}\; z= \frac{7}{18}$ ,find :

(a) the rational number which when added to x gives y

(b) the rational number which subtracted from y gives z.

(c) the rational number which when added to z gives us x.

(d) the rational number which when multiplied by y to get x.

(e) the reciprocal of $x + y$ .

(f) the sum of reciprocals of x and y.

(g) (x ÷ y) × z

(h) $(x - y) + z$

(i) $x + (y + z)$

(j) x ÷ (y ÷ z)

(k) $x - (y + z)$

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