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

-6 (4 2/3)

-6 * (4 + 2/3)

-6 *4 + -6 * 2/3

Choice B

Answer 2

Answer:

A. $(-6)(4)+(-6)(\frac{2}{3})$

Step-by-step explanation:

Given expression,

$-6(4\frac{2}{3})$

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

$\implies -6(4\frac{2}{3})=-6(4+\frac{2}{3})$

Using distributive property,

$-6(4\frac{2}{3})=(-6)(4)+(-6)(\frac{2}{3})$

Hence,

$(-6)(4)+(-6)(\frac{2}{3})$ is used to evaluate the expression.

Option 'A' is correct.