Question

Can you solve this problem so that you can explain me as best as possible to understand the problem?

It is called Combined Operations with fractions and I know that some will get the name confused but I think it is the same

Answer 1

Answer: 2

Explanation:

`(2)/(3) (4 (1)/(6) - (7)/(6) ) \\`

express the mixed fraction into proper fraction:

`{ \boxed{4 (1)/(6) = ((6 * 4) + 1)/(6) = (25)/(6) }}`

then solve simplify:

`= (2)/(3) ( (25)/(6) - (7)/(6) ) \\`

solve the bracket:

`= (2)/(3) ( (25 - 7)/(6) ) \\ \\ = (2)/(3) ( 3)`

then simplify:

`= (2 * 3)/(3) \\ \\ = 2`