a, -5/6 -x = 7/12 + -1/3
⇔-10/12 - 12x/12 = 7/12 + -4/12
⇒-10 - 12x = 7 - 4
⇔-12x = 7 - 4 +10
⇔-12x = 13
⇔x = -13/12
b, x+13/-15 = 1/3
⇔-(x+13)/15 = 5/15
⇒ -x - 13 = 5
⇔-x = 5 +13
⇔-x = 18
⇔x = -18
c,-15/x-1 = -3/5
⇔-75/(x-1).5 = -3.(x-1)/5.(x-1)
⇒-75 = -3x + 3
⇔3x = 3 + 75
⇔3x = 78
⇔x = 26
d, (1/2).x + -2/5 = 1/5
⇔5x/10 + -4/10 = 1/10
⇒5x - 4 = 1
⇔5x = 1 + 4
⇔5x = 5
⇔x = 1
e, (-2/3).x + 1/5 = 1/10
⇔-20x/30 + 6/30 = 3/30
⇒-20x + 6 = 3
⇔-20x = 3 - 6
⇔-20x = -3
⇔x = 3/20
f, 4/5 - (1/2).x = 1/10
⇔8/10 - 5x/10 = 1/10
⇒8 - 5x = 1
⇔-5x = 1 - 8
⇔-5x = -7
⇔x=7/5

a) = 3/3 x ( -24/54 +45/54 ) : 7/12

   = 1 x 21/54 x 12/7

   = 18/27 

( hiện tại mik chỉ lm đc thế này thui. thông cảm nk )

S = \(\frac12\times\frac13\) + \(\frac13\times\frac14\) + \(\frac14\times\frac15\) + \(\frac15\times\frac16\) + \(\frac17\times\frac18\) + \(\frac18\times\frac19\)

S = \(\frac12\) - \(\frac13\) + \(\frac13\) - \(\frac14\) + \(\frac14\) - \(\frac15\) + \(\frac15\) - \(\frac16\) + \(\frac17\) - \(\frac18\) + \(\frac18\) - \(\frac19\)

S = \(\frac12\) - \(\frac19\)

S = \(\frac{9}{18}-\frac{2}{18}\)

S = \(\frac{7}{18}\)

a)\(\left(4\frac{5}{37}-3\frac45+8\frac{15}{29}\right)-\left(3\frac{5}{57}-6\frac{14}{29}\right)\)

=\(4\frac{5}{37}-3\frac45+8\frac{15}{29}-3\frac{5}{37}+6\frac{14}{29}\)

=\(\left(4\frac{5}{37}-3\frac{5}{37}\right)+\left(8\frac{15}{29}+6\frac{14}{29}\right)-3\frac45\)

=\(\left\lbrack\left(4-3\right)+\left(\frac{5}{37}-\frac{5}{37}\right)\right\rbrack+\left\lbrack\left(8+6\right)+\left(\frac{15}{29}\right.\right.\)+\(\frac{14}{29})\) -\(\frac{19}{5}\)

=\(1+0+14+1-\frac{19}{5}\)

=\(15+1-\frac{19}{5}\)

=\(16-\frac{19}{5}\)

=\(\frac{80}{5}-\frac{19}{5}\)

=\(\frac{61}{5}\)

Mình biết cách làm nhưng mình lười không buồn tính. Tìm người khác giúp bạn nhé!

a) \(\frac{x}{3}-\frac{1}{4}=\frac{-5}{6}\)

\(\Rightarrow\frac{x}{3}=\frac{-5}{6}+\frac{1}{4}\)

\(\Rightarrow\frac{x}{3}=\frac{-7}{12}\)

\(\Rightarrow x=\frac{\left(-7\right).3}{12}\)

\(\Rightarrow x=\frac{-7}{4}\)

Vậy x = \(\frac{-7}{4}\)

b) \(\frac{x+3}{15}=\frac{1}{3}\)

\(\Rightarrow\left(x+3\right).3=15\)

\(\Rightarrow x+3=15:3\)

\(\Rightarrow x+3=5\)

\(\Rightarrow x=5-3\)

\(\Rightarrow x=2\)

Vậy x = 2

c) \(\frac{x-12}{4}=\frac{1}{2}\)

\(\Rightarrow\left(x-12\right).2=4\)

\(\Rightarrow x-12=4:2\)

\(\Rightarrow x-12=2\)

\(\Rightarrow x=2+12\)

\(\Rightarrow x=14\)

Vậy x = 14

d) \(\frac{25}{9}-\frac{12}{13}x=\frac{7}{9}\)

\(\Rightarrow\frac{12}{13}x=\frac{25}{9}-\frac{7}{9}\)

\(\Rightarrow\frac{12}{13}x=2\)

\(\Rightarrow x=2:\frac{12}{13}\)

\(\Rightarrow x=\frac{13}{6}\)

Vậy x = \(\frac{13}{6}\)

_Chúc bạn học tốt_

a)\(\frac{x}{3}-\frac{1}{4}=-\frac{5}{6}\)

\(\frac{x}{3}=-\frac{5}{6}+\frac{1}{4}\)

\(\frac{x}{3}=-\frac{7}{12}\)

\(x=-\frac{7}{12}\times3\)

\(\Rightarrow x=-\frac{7}{4}\)

b) \(\frac{x+3}{15}=\frac{1}{3}\)

\(\frac{x+3}{15\div5}=\frac{1}{3}\)

\(\Rightarrow x=5-3\)

\(\Rightarrow x=2\)

c) \(\frac{x-12}{4}=\frac{1}{2}\)

\(\frac{x-12}{4\div2}=\frac{1}{2}\)

\(x=12+2\)

\(\Rightarrow x=14\)

d) tự làm nhé cũng dễ mà

\(\frac{x}{5}=\frac23\)

\(x\) = \(\frac23\times5\)

\(x=\frac{10}{3}\)

Vậy \(x=\frac{10}{3}\)

\(\frac{x}{3}-\frac12=\frac15\)

\(\frac{x}{3}\) = \(\frac15\) + \(\frac12\)

\(\frac{x}{3}\) = \(\frac{2}{10}+\frac{5}{10}\)

\(\frac{x}{3}=\frac{7}{10}\)

\(x=\frac{7}{10}\times3\)

\(x=\frac{21}{10}\)

Vậy \(x=\frac{21}{10}\)

\(\frac{x}{5}+\frac12=\frac{6}{10}\)

\(\frac{x}{5}=\frac{6}{10}-\frac12\)

\(\frac{x}{5}=\frac{6}{10}-\frac{5}{10}\)

\(\frac{x}{5}=\frac{1}{10}\)

\(x=\frac{1}{10}\times5\)

\(x=\frac12\)

Vậy \(x=\frac12\)

\(\frac{x+3}{15}\) = \(\frac13\)

\(x+3=\frac13\times15\)

\(x+3=5\)

\(x=5-3\)

\(x=2\)

Vậy \(x=2\)