Question

-1 3/4+ 1 1/6 what is the answer I say -7/12

Answer 1

No, the correct answer of
`-1(3)/(4)  + 1(1)/(6)` =
`(11)/(12)`

Explanation:

The given expression is
`-1(3)/(4)  + 1(1)/(6)`

As we know that a mixed fraction
`a(b)/(c)` can be converted into proper or improper fraction as
`a(b)/(c)  = (ac + b)/(c)`

⇒
`-1(3)/(4)  = ((-1) (4)+ 3)/(c)` =
`(-4 + 3)/(4)  =  (-1)/(4)`

and,
`1(1)/(6)  = ((1) (6)+ 1)/(6)` =
`(6 + 1)/(6)  =  (7)/(6)`

Hence, the simplified expression =
`(-1)/(4)  + (7)/(6)  = (-1(3)  + 7(2))/(12)   = (11)/(12)`

or,
`-1(3)/(4)  + 1(1)/(6)` =
`(11)/(12)`