Question

Simplify |-1/2 - 1/8| + (-3/4+56)​

Answer 1

|
`-(1)/(2)`
`-(1)/(8)`| = |
`-(5)/(8)`| or just
`(5)/(8)` and
`-(3)/(4)` +
`(5)/(6)` =
`(1)/(12)`

`(5)/(8)` +
`(1)/(12)` = D)
`(17)/(24)`

Answer 2

The value of the addition of the fractions is

`(17)/(24)`

How the expression is simplified.

The absolute value of a real number is its distance from zero on the number line, regardless of direction. It is denoted by vertical bars, e.g., |x|.

Given

`| - ( 1)/(2) - (1)/(8) | + ( - ( 3)/(4) + (5)/(6) )`

Multiple the absolute expression by 8 and the bracket expression by 12

`8 | - (1)/(2) - (1)/(8) | + 12( - (3)/(4) + (5)/(6) )`

`| (-4 - 1)/(8) | + ( ( - 9 + 10)/(12) )`

`| - (5)/(8) | + ( (1)/(12) )`

Multiple by 24

`24 | (5)/(8) | + 24( (1)/(12) )`

`| - (15)/(24) | + ( (2)/(24) )`

Use the absolute value

`(15)/(24) + (2)/(24)`

`(17)/( \\ 24)`