Đáp án:
Giải thích các bước giải:
Bài `1:`
`1/3 : 5/4 + 1/3 : 5/6 + 2/9`
`= 1/3 xx 4/5 + 1/3 xx 6/5 + 2/9`
`= 1/3 xx ( 4/5 + 6/5 ) + 2/9`
`= 1/3 xx 2 + 2/9`
`= 2/3 + 2/9 = 8/9`
$\\$
`-1/6 + 2/3 . (-3/4) + ((-2)^2)/5`
`= (-1/6) + (-1/2) + 4/5`
`= -2/3 +4/5 = 2/15`
Bài `2:`
`a)`
`2 1/5 + 3/5 . x =3/4`
`=> 11/5 + 3/5 . x = 3/4`
`=> 3/5 . x = 3/4-11/5`
`=> 3/5 . x = -29/20`
`=> x=-29/12`
Vậy `x=-29/12`
`b)`
`2/3 - 1/3 .(2x-5) = 3/2`
`=> 1/3 (2x-5) = 2/3 - 3/2`
`=> 1/3 (2x-5) = -5/6`
`=> 2x-5 = -5/2`
`=> 2x = 5/2`
`=> x = 5/4`
$\\$
Bài `3:`
`a)`
`13/25 + (-7/17) +12/25 + (-10/17) +1/7`
`=(13/25 + 12/25) -(7/17+10/17) +1/7`
`=1-1+1/7=1/7`
`b)`
`-5/9 . 13/28 -13/28 . 4/9 + 13/28`
`= 13/28 .[(-5/9) + (-4/9) + 1 ]`
`= 13/28 .0 = 0`