Question

Which expression is NOT equivalent to 12⋅−3 2/3?

Drag this expression to the box.

Answer 1

The third option would be the incorrect one

Answer 2

All of the expressions except
`$12 \cdot\left(-3-(3)/(3)\right)=-48$` is NOT equivalent.

We can simplify the expressions by combining the numerical terms, multiplying the numbers, and simplifying the fractions. Here's how we do it:

1. Combine the numerical terms in the first expression:
`12 \cdot-3 (2)/(3)=12 \cdot-(11)/(3)`

2. Multiply the numbers in the first expression:
`$12 \cdot (11)/(3)=44$`

3. Simplify the fractions in the remaining expressions:

`\begin{aligned}& 12 \cdot\left(-3-(2)/(3)\right)=12 \cdot-(11)/(3)=-44 \\& 12 \cdot\left(-4+(1)/(3)\right)=12 \cdot-(11)/(3)=-44 \\& 12 \cdot-4+12 \cdot (1)/(3)=12 \cdot-(11)/(3)=-44 \\& 12 \cdot-3+12 \cdot (2)/(3)=12 \cdot-(11)/(3)=-44 \\& 12 \cdot\left(-3-(3)/(3)\right)=12 \cdot-(12)/(3)=-48\end{aligned}`

Therefore, all of the expressions except
`$12 \cdot\left(-3-(3)/(3)\right)=-48$` are equivalent to 44 .

So the answer is
`12 \cdot\left(-3-(3)/(3)\right)`.