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1. The value of the given expression is 9/10. The properties of real numbers, such as commutative and distributive are used for solving this expression.

   What are the required properties for solving an expression?

   The properties are:

   • Associative property: (a + b) + c = a + (b + c)
   • Commutative property: a + b = b + c or a × b = b × a
   • Distributive property: a × (b + c) = a × b + b × c

   Calculation:

   The given expression is

   (-3/7) × 6/5 + (3/2) – (6/5) × 1/14

   applying commutative law (a + b = b + c)

   ⇒ (-3/7) × 6/5 – (6/5) × 1/14 + (3/2)

   again applying commutative law (a × b = b × a)

   ⇒ (-3/7) × 6/5 – 1/14 × (6/5)+ (3/2)

   applying distributive law (a × (b + c) = a × b + b × c) in reverse order

   ⇒ (-3/7 – 1/14) × (6/5)+ (3/2)

   ⇒ (-7/14) × (6/5)+ (3/2)

   ⇒ (-1/2) × (6/5)+ (3/2)

   ⇒ (-6/10) + (3/2)

   ⇒ (-6 + 15)/10

   ⇒ 9/10

   Thus, the required value is 9/10 and the suitable properties are commutative and distributive.

   Learn more about the properties of real numbers here:

   https://brainly.com/question/20373359

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