Answer: 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

Step-by-step explanation:

Verified answer

Commutative property – As per the commutative property or commutative law, when two numbers are added or multiplied together, then change in their positions does not change the result.

⇒ 2/5 × (- 3/7 + 1/14) – 3/12

⇒ 2/5 × ((- 6 + 1)/14) – 3/12

⇒ 2/5 × ((-5)/14)) – 1/4

⇒ (-10/70) – 1/4

⇒ – 1/7 – 1/4

⇒ (- 4- 7)/28

⇒ – 11/28