Question

- 2/3 x3/5 +5/2-3/5x1/6​

Answer 1

Answer:

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

= -2/3 x 3/5 - 3/5 x 1/6 + 5/2 [by commutativity]

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

= 3/5 [-2/3 - 1/6] + 5/2 [by distributivity]

= -3/5 [2/3 + 1/6] + 5/2

= -3/5 [(4 + 1)/6] + 5/2

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

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2

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

= 2/5 x (-3/7) + 1/14 x 2/5 - 1/6 x 3/2 [by commutativity]

= [2/5 x (-3/7)] + [1/14 x 2/5] - 1/6 x 3/2

= 2/5 [-3/7 + 1/14] - 3/12 [by distributivity]

= 2/5 [(-6 + 1)/14] - 1/4

= 2/5 x (-5/14) - 1/4

= -2/14 - 1/4

= (-4 - 7)/28

= -11/28

Answer 2

Answer:

-2/3 x 3/5 = -2/5

5/2-3/5= 19/10

so

-2/5+19/10= 15/10

15/10= 3/2

3/2x 1/6= 1/4

answer = 1/4

hope it helps:)