Question

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

Answer 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:

brainly.com/question/20373359

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