Question

Which expression is equivalent to -3 2/3

Answer 1

Answer: -3 -2/3

Step-by-step explanation: Got it right on TTM

Answer 2

`-3(2)/(3)` equivalent to
`-3-(2)/(3)`

Explanation:

Given:
`-3(2)/(3)`

We need to choose equivalent to given expression.

First we simplify the given expression mixed number to fraction.

`\Rightarrow -3(2)/(3)`

`\Rightarrow -(3\cdot 3+2)/(3)`

`\Rightarrow -(9+2)/(3)`

`\Rightarrow -(11)/(3)`

Option 1:
`-3+(2)/(3)`

`\Rightarrow (-9+2)/(3)=-(7)/(3)\\eq -(11)/(3)`

False

Option 2:
`-3-(2)/(3)`

`\Rightarrow (-9-2)/(3)=-(11)/(3)= -(11)/(3)`

True

Option 3:
`3-(2)/(3)`

`\Rightarrow (9-2)/(3)=(7)/(3)\\eq -(11)/(3)`

False

Option 4:
`3+(2)/(3)`

`\Rightarrow (9+2)/(3)=(11)/(3)\\eq -(11)/(3)`

False

Hence,
`-3(2)/(3)` equivalent
`-3-(2)/(3)`