Question

Give each answer as mixed number in simplest form

Answer 1

Explanation:

`= (1)/(2) + ( - 5 (9)/(10) )`

`= (1)/(2) - 5 (9)/(10) \\`

`= (1)/(2) - (5 * 10 + 9)/(10) \\`

`= (1)/(2) - (59)/(10) \\`

`= (1)/(2) * (5)/(5) - (59)/(10) \\`

`= (5)/(10) - (59)/(10) \\`

`= (5 - 59)/(10) \\`

`= - (54)/(10) \\`

`= - (27)/(5) \\`

Answer 2

`-5 (2)/(5)`

Explanation:

`(1)/(2) +\left( -5(9)/(10) \right)`

`= (1)/(2) -\left( 5(9)/(10) \right) \ \ \ \text{(recall\ :\ + - = - )}`

`= (1)/(2) -\left( 5+(9)/(10) \right)`

`= (1)/(2) -5 - (9)/(10) \right)`

`= (5)/(10) -5 - (9)/(10) \right)`

`= -5 + (5)/(10) - (9)/(10) \right)`

`= -5 - (4)/(10)`

`= -5 - (2)/(5)`

`= -5 (2)/(5)`