Question

Evaluate the problem below. Please show all your work for full credit. Highlight or -4 1/2+5 2/3

Answer 1

`(7)/(6)`

Explanation:

`-4(1)/(2) + 5(2)/(3) =`

For the first term you have to multiply 2x(-4) and add 1, for the second term you have to multiply 3x5 and add 2.

`(2(-4)+1)/(2) + (3(5)+2)/(3) =`

`-(9)/(2) +(17)/(3) =`

Now you need to find the lowest common multiple between the denominators, just cross multiply as it is shown:

`-(9)/(2) ((3)/(3) )+(17)/(3) ((2)/(2) )=`

`-(27)/(6) +(34)/(6) = (7)/(6)`

finally you get the result by doing a substraction = 7/6, or 1
`(1)/(6)`