Question

Which of the following could be used to evaluate the expression -6 ( 4 2/3) ?

A (-6) (4) + (-6) 2/3
B:( -6 ) (4) x (-6) 2/3
C: ( -6+4 ) + (-6+ 2/3)
D: (-6+4)x (-6+ 2/3)

Answer 1

A.
`(-6)(4)+(-6)((2)/(3))`

Explanation:

Given expression,

`-6(4(2)/(3))`

Since, a mixed fraction can be written as the sum of whole number and fraction.

`\implies -6(4(2)/(3))=-6(4+(2)/(3))`

Using distributive property,

`-6(4(2)/(3))=(-6)(4)+(-6)((2)/(3))`

Hence,

`(-6)(4)+(-6)((2)/(3))` is used to evaluate the expression.

Option 'A' is correct.

Answer 2

-6 (4 2/3)

-6 * (4 + 2/3)

-6 *4 + -6 * 2/3

Choice B