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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