Question

How to Simplify using suitable property: (-3/7) * 6/5 + (3/2) – (6/5) * 1/14

I will mark the first answerer as brainliest

1. kimchi2
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.