\(\dfrac{146}{13}-\left(\dfrac{16}{7}-\dfrac{65}{13}\right)\\ \\ =\dfrac{146}{13}-\dfrac{16}{7}+\dfrac{65}{13}\\ =\left(\dfrac{146}{13}+\dfrac{65}{13}\right)-\dfrac{16}{7}\\ =\dfrac{211}{13}-\dfrac{16}{7}\\ =\dfrac{1477}{91}-\dfrac{208}{91}\\ =\dfrac{1269}{91}\)
`146/13 -( 16/7 - 65/13)`
`= 146/13 - 16/7 + 65/13`
`= (146/13 + 65/13)- 16/7`
`= 211/13 - 16/7`
`= 1477/91 - 208/91`
`= 1269/91`