Answer:
The value of the given equation is [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Given:
[tex]\frac{1}{2}-(\frac{2}{3} -\frac{1}{4})[/tex]
Solving the bracket by taking the L.C.M .
[tex]=\frac{1}{2} -(\frac{(2)(4)-(1)(3)}{12}) \\\\=\frac{1}{2} -(\frac{8-3}{12} )\\\\=\frac{1}{2}-(\frac{5}{12} ) \\[/tex]
Now, again subtracting the terms by L.C.M
[tex]=\frac{(1)(6)-(5)(1)}{12} \\\\=\frac{6-5}{12}\\\\=\frac{1}{12}[/tex]
The value of the given equation is [tex]\frac{1}{12}[/tex]
