Question

What is the value of 1/2 - (2/3 - 1/4)?

Answer 1

The value of the given equation is
`(1)/(12)`

Explanation:

Given:

`(1)/(2)-((2)/(3) -(1)/(4))`

Solving the bracket by taking the L.C.M .

`=(1)/(2) -(((2)(4)-(1)(3))/(12)) \\\\=(1)/(2) -((8-3)/(12) )\\\\=(1)/(2)-((5)/(12) ) \\`

Now, again subtracting the terms by L.C.M

`=((1)(6)-(5)(1))/(12) \\\\=(6-5)/(12)\\\\=(1)/(12)`

The value of the given equation is
`(1)/(12)`