Bài II
x/6 = -14/4 + 40/15
Bài III
1) 10/144 + -2/135 + 11/120
2) 1/3 + -2/5 + 1/6 + -1/5< -3/4 + 2/7 + -1/4 + 3/5 + 5/7
Bài II x/6 = -14/4 + 40/15 Bài III 1) 10/144 + -2/135 + 11/120 2) 1/3 + -2/5 + 1/6 + -1/5< -3/4 + 2/7 + -1/4 + 3/5 + 5/7
By Aaliyah
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 $\frac{1}{3}+\frac{-2}{5}+\frac{1}{6}+\frac{-1}{5}$ < $\frac{-3}{4}+\frac{2}{7}+\frac{-1}{4}+\frac{3}{5}+\frac{5}{7}$