\(\dfrac{1}{2}-\dfrac{43}{101}+\left(-\dfrac{1}{3}\right)-\dfrac{1}{6}\)
\(=\dfrac{1}{2}-\dfrac{43}{101}-\dfrac{1}{3}-\dfrac{1}{6}\)
\(=-\dfrac{43}{11}+0\)
\(=-\dfrac{43}{101}\)
`1/2-43/101+(-1/3)-1/6`
`= 1/2 - 43/101 -1/3 - 1/6`
`= ( 1/2 - 1/3- 1/6) - 43/101`
`= ( 3/6 - 2/6 - 1/6 ) - 43/101`
`= ( 1/6 - 1/6 ) - 43/101`
`= 0 - 43/101`
`= - 43/101`