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Using appropriate properties find:

(i) - 2/3 x 3/5 + 5/2 - 3/5 x 1/6

(ii) 2/5 x (- 3/7) - 1/6 x 3/2 + 1/14 x 2/5

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(i) 

-2/3 x 3/5 + 5/2 - 3/5 x 1/6 = -2/3 x 3/5 - 3/5 x 1/6 + 5/2

( Using commutativity of rational number)

= (-3/5) x (2/3 + 1/6) + 5/2  (Distributivity)

= (-3/5) x (2x2 + 1/6) + 5/2 = 0-3/5) x (5/6) + 5/2

= (-3/6) + 5/2 = (-3+5 x 3/6) = (-3 + 15/6)

= 12/6 = 2

(ii)

2/5 x (-3/7) - 1/6x3/2 + 1/14 x 2/5 = 2/5 x (1/14x2/5 - 1/6x32     (By commutativity)

= 2/5 x (-3/7 + 1/14) - 1/4 

= 2/5 x (-3x2 + 1/14) - 1/14

 2/5 x 9-5/14_ - 1/4

= -1/7 - 1/4

= -4 -7/28 = -11/28

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