Question

Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12

Group of answer choices


1_2/3


14_2/3


2


13_1/3

Answer 1

Given:

The expression is

`(8)/(3)-(5)/(6)-(2)/(12)`

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

`(8)/(3)-(5)/(6)-(2)/(12)`

It can be written as

`=(8)/(3)-(5)/(6)-(1)/(6)`

Taking LCM, we get

`=(16-5-1)/(6)`

`=(10)/(6)`

`=(5)/(3)`

The mixed fraction of this improper fraction is

`=(1* 3+2)/(3)`

`=1(2)/(3)`

So, the expression
`1(2)/(3)` is equivalent to the given expression.

Therefore, the correct option is A.