tính bằng cách thuận tiện a) 47/53 (17/3-53/47)+17/3 (6/17-47/53) b) -41/32 (15/8-16/41)+ 15/8(41/32-8/3)

tính bằng cách thuận tiện
a) 47/53 (17/3-53/47)+17/3 (6/17-47/53)
b) -41/32 (15/8-16/41)+ 15/8(41/32-8/3)

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  1. `a,` `47/53.(17/3-53/47)+17/3.(6/17-47/53)`

    `=47/53. 17/3-47/53. 53/47+17/3. 6/17-17/3. 47/53 `

    `=(47/53. 17/3-17/3. 47/53)-47/53. 53/47+17/3. 6/17 `

    `=0-1+2`

    `=1`

    `b,` `{-41}/32.(15/8-16/41)+15/8.(41/32-8/3)`

    `=-41/32. 15/8+41/32. 16/41+15/8. 41/32-15/8. 8/3`

    `=(15/8. 41/32-41/32. 15/8)+41/32. 16/41-15/8. 8/3`

    `=0+1/2-5`

    `={1-10}/2`

    `={-9}/2`

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  2. Đáp án:

    a)` 47/53 (17/3-53/47)+17/3 (6/17-47/53) `

    ` = 47/53 . 17/3-47/53 . 53/47+17/3 . 6/17 – 17/3 . 47/53`

    ` = -1 + 2 `

    ` = 1 `

    b)` -41/32 (15/8-16/41)+ 15/8(41/32-8/3)`

    `=-41/32*15/8+41/32*16/41+15/8*41/32-15/8*8/3`

    `=(15/8*41/32-41/32*15/8)+41/32*16/41-15/8*8/3`

    `=0+1/2-5=-9/2`

     

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