(2021/2022-115/116×117/118)×(1/3-1/4-1/12)×3/14-5/14

$\text{$\dfrac{( 2021}{2022}$ - $\dfrac{115}{116}$ $\times$ $\dfrac{117}{118}$ ) $\times$ ( $\dfrac{1}{3}$ - $\dfrac{1}{4}$ - $\dfrac{1}{12}$ ) $\times$ $\dfrac{3}{14}$ - $\dfrac{5}{14}$}$

$\text{= $\dfrac{( 2021}{2022}$ - $\dfrac{115}{116}$ $\times$ $\dfrac{117}{118}$ ) $\times$ ( $\dfrac{1}{12}$ - $\dfrac{1}{12}$  ) $\times$ $\dfrac{3}{14}$ - $\dfrac{5}{14}$}$

$\text{= $\dfrac{( 2021}{2022}$ - $\dfrac{115}{116}$ $\times$ $\dfrac{117}{118}$ ) $\times$  0 $\times$ $\dfrac{3}{14}$ - $\dfrac{5}{14}$}$

$\text{= 0 $\times$ $\dfrac{3}{14}$ - $\dfrac{5}{14}$}$

$\text{= 0 - $\dfrac{5}{14}$}$

$\text{= $\dfrac{-5}{14}$}$

Answer

`(2021/2022 - 115/116 xx 117/118) xx (1/3 - 1/4 - 1/12) xx 3/14 - 5/14`

`= (2021/2022 - 115/116 xx 117/118) xx (1/12 - 1/12) xx 3/14 - 5/14`

`= (2021/2022 - 115/116 xx 117/118) xx 0 xx 3/14 - 5/14`

`= 0 - 5/14`

`= {-5}/14`