`d) 38/45 – ( 8/45 – 17/51 – 3/11 )` `e) (11/4 . -5/9 – 4/9 . 11/4) . 8/33`

`d) 38/45 – ( 8/45 – 17/51 – 3/11 )`
`e) (11/4 . -5/9 – 4/9 . 11/4) . 8/33`

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  1. $d$) `38/45 – (8/45 – 17/51 – 3/11)`

    `= 38/45 – 8/45 + 17/51 + 3/11`

    `= 30/45 + 17/51 + 3/11`

    `= 34/51 + 17/51 + 3/11`

    `= 1 + 3/11`

    `= 14/11`

    $e$) `(11/4 . {-5}/9 – 4/9 . 11/4) . 8/33`

    `= [ 11/4 . (-5/9 – 4/9)] . 8/33`

    `= [11/4 . (-1)] . 8/33`

    `= -11/4 . 8/33`

    `= -2/3`

     

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  2. d,

    $\dfrac{38}{45}-(\dfrac{8}{45}-\dfrac{17}{51}-\dfrac{3}{11})$

    $=\dfrac{38}{45}-\dfrac{8}{45}+\dfrac{17}{51}+\dfrac{3}{11}$

    $=\dfrac{2}{3}+\dfrac{17}{51}+\dfrac{3}{11}$

    $=\dfrac{34}{51}+\dfrac{17}{51}+\dfrac{3}{11}$

    $=1+\dfrac{3}{11}$

    $=\dfrac{14}{11}$

    e,

    $\Bigg(\dfrac{11}{4}.\dfrac{-5}{9}-\dfrac{11}{4}.\dfrac{4}{9}\Bigg).\dfrac{8}{33}$

    $=\dfrac{-11}{4}.(\dfrac{5}{9}+\dfrac{4}{9}).\dfrac{8}{33}$

    $=\dfrac{-11}{4}.\dfrac{8}{33}$

    $=\dfrac{-2}{3}$

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