Đáp án:

 `↓↓↓`

Giải thích các bước giải:

`1)`

`x/6=(-14)/4+10/15`

`(-14)/4+10/15=x/6`

`=>(-7)/2+2/3=x/6`

`=>(-17)/6=x/6`

`=>(-17)=x`

vậy `x=-17`

`2)`

`a)` `10/144+(-2)/135+11/120`

`=5/72-2/135+11/120`

`=59/1080+11/120`

`=79/540`

`b)` `1/3 +( -2)/5 + 1/6 + (-1)/5 <  (-3)/4 + 2/7 + (-1)/4 + 3/5 + 5/7`

`=>1/3 -2/5 + 1/6 -1/5 < (-3)/4 + 2/7 -1/4 + 3/5 + 5/7`

`=>(1/3+1/6)-(2/5+1/5) < ((-3)/4-1/4)+(2/7+5/7)+3/5`

`=>1/2-3/5 < (-1)+1+3/5`

`=>(-1)/10 < 3/5`

Bài II:

$\frac{x}{6}=\frac{-14}{4}+\frac{40}{15}$ 

$⇒\frac{x}{6}=\frac{-7}{2}+\frac{8}{3}$ 

$⇒\frac{x}{6}=\frac{-21}{6}+\frac{16}{6}$ 

$⇒\frac{x}{6}=\frac{-5}{6}$ 

$⇒6.x= -5.6$

$⇒6x = -30$

$⇒x = -5$
  Vậy $x = -5$

Bài III:

1) $\frac{10}{144}+\frac{-2}{135}+\frac{11}{120}$ 

$=\frac{5}{72}+\frac{-2}{135}+\frac{11}{120}$ 

$=\frac{1125}{16200}+\frac{-240}{16200}+\frac{1485}{16200}$ 

$=\frac{1125 - 240 + 1485}{16200}$ 

$=\frac{2370}{16200}$ 

$=\frac{79}{540}$ 

2) Vế trái = $\frac{1}{3}+\frac{-2}{5}+\frac{1}{6}+\frac{-1}{5}$ 

$=\frac{-3}{5}+\frac{1}{2}$ 

$=\frac{-1}{10}$ 

Vế phải = $\frac{-3}{4}+\frac{2}{7}+\frac{-1}{4}+\frac{3}{5}+\frac{5}{7}$ 

$ = -1 + 1 + \frac{3}{5}$ 

$ = \frac{3}{5}$

⇒ Vế trái < vế phải hay $\frac{1}{3}+\frac{-2}{5}+\frac{1}{6}+\frac{-1}{5}$ < $\frac{-3}{4}+\frac{2}{7}+\frac{-1}{4}+\frac{3}{5}+\frac{5}{7}$