Mn giúp milk với tính một cách hợp lí a) 27/13 - 106 /111 + (-5) /111 b) 12/11 -(-7) /19 + 12/19 c) 5/17 - 25/31 +12/17 + (-6) /31

2 câu trả lời

$#Quiên$

`a) 27/13 - 106 /111 + (-5) /111`

`= 27/13 - [106/111 + (-5 / 111)]`

`= 27/13 - 1`

`= 27/13 - 13/13`

`= 14/13`

`b) 12/11 -(-7) /19 + 12/19 `

`= 12/11 - (-7/19 - 12/19)`

`= 12/11 + 1`

`= 12/11 + 11/11`

`= 23/11`

`c) 5/17 - 25/31 +12/17 + (-6) /31`

`= (5/17 + 12/17) - (25/31 + 6/31)`

`= 1 - 1`

`= 0`

Đáp án+Giải thích các bước giải:

$ a.$

$\dfrac{27}{13}-\dfrac{106}{111}+\dfrac{-5}{111}$

$=\dfrac{27}{13}-(\dfrac{106}{111}+\dfrac{5}{111})$

$=\dfrac{27}{13}-1$

$=\dfrac{27}{13}-\dfrac{13}{13}$

$=\dfrac{14}{13}$

$b.$

$\dfrac{12}{11}-\dfrac{-7}{19}+\dfrac{12}{19}$

$=\dfrac{12}{11}-(\dfrac{-7}{19}-\dfrac{12}{19})$

$=\dfrac{12}{11}-(-1)$

$=\dfrac{12}{11}+1$

$=\dfrac{12}{11}+\dfrac{11}{11}$

$=\dfrac{23}{11}$

$c.$

$\dfrac{5}{17}-\dfrac{25}{31}+\dfrac{12}{17}+\dfrac{-6}{31}$

$=(\dfrac{5}{17}+\dfrac{12}{17})-(\dfrac{25}{31}+\dfrac{6}{31})$

$=1-1$

$=0$

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