tính nhanh : a, 31/17 +-5/13+-8/13-14/17 b, -5/7.2/11+-5/7.9/11+5/7

tính nhanh : a, 31/17 +-5/13+-8/13-14/17
b, -5/7.2/11+-5/7.9/11+5/7

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  1. $\text{ a) }$

    $\text{ $\frac{31}{17}$ + $\frac{-5}{13}$ + $\frac{-8}{13}$ – $\frac{14}{17}$ }$

    $\text{ = ($\frac{31}{17}$ – $\frac{14}{17}$) + ($\frac{-5}{13}$ + $\frac{-8}{13}$) }$

    $\text{ = 1 + -1 }$

    $\text{ = 0 }$

    $\text{ b) }$

    $\text{ $\frac{-5}{7}$ × $\frac{2}{11}$ + $\frac{-5}{7}$ × $\frac{9}{11}$ + $\frac{5}{7}$ }$

    $\text{ = $\frac{-5}{7}$ × $\frac{2}{11}$ + $\frac{-5}{7}$ × $\frac{9}{11}$ + $\frac{5}{7}$ × -1 }$

    $\text{ = [$\frac{2}{11}$ + $\frac{9}{11}$ + (-1)] × $\frac{-5}{7}$ }$

    $\text{ = 0 × $\frac{-5}{7}$ }$

    $\text{ = 0 }$

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  2. `a, 31/17 +{-5}/13+{-8}/13-14/17`

    `=(31/17-14/17) +({-5}/13+{-8}/13)`

    `=17/17+{-13}/13`

    `=1+(-1)`

    `=0`

    `b,{-5}/7 . 2/11+{-5}/7 . 9/11+5/7`

    `={-5}/7 . (2/11+9/11)+5/7`

    `={-5}/7 . 11/11+5/7`

    `={-5}/7 . 1+5/7`

    `={-5}/7+5/7`

    `={0}/7=0`

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