a,\(\frac{-2}{3}+\frac{1}{5}=\frac{-2.5}{3.5}+\frac{3.1}{3.5}=-\frac{10}{15}+\frac{3}{15}=-\frac{7}{15}\)

b,\(3\frac{11}{13}-5\frac{11}{3}=3+\frac{11}{13}-(5+\frac{11}{13})=\left(3-5\right)+\left(\frac{11}{13}-\frac{11}{13}\right)=-2+0=-2\)

c,\(1\frac{2}{3}:(-\frac{5}{3})=\frac{5}{3}:\left(-\frac{5}{3}\right)=\frac{5.3}{3.\left(-5\right)}=\frac{15}{-15}=-1\)

d,\(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{14}{17}=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)=1+\left(-1\right)=0\)

Tìm x:

a,x+12=8

x=8-12

x=-4

b,\(\frac{2}{3}x+\frac{1}{2}=\frac{1}{10}\)

\(\frac{2}{3}x=\frac{1}{10}-\frac{1}{2}\)

\(\frac{2}{3}x=\frac{1}{10}-\frac{5}{10}\)

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

\(x=\frac{2}{5}:\frac{2}{3}\)

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

\(x=\frac{3}{5}\)

a) \(\frac{-2}{3}+\frac{1}{5}=\frac{-10}{15}+\frac{3}{15}=\frac{-10+3}{15}=\frac{-7}{15}\)

b) \(3\frac{11}{13}-5\frac{11}{13}=\frac{50}{13}-\frac{76}{13}=\frac{50-76}{13}=\frac{-26}{13}=-2\)

c) \(1\frac{2}{3}:\frac{-5}{3}=\frac{5}{3}:\frac{-5}{3}=\frac{5}{3}\times\frac{3}{-5}=\frac{15}{-15}=-1\)

d) \(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{14}{17}\)

\(=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)\)

\(=\left(\frac{31-14}{17}\right)+\left(\frac{-5-8}{13}\right)\)

\(=\frac{17}{17}+\frac{-13}{13}\)

\(=1+\left(-1\right)\)

\(=0\)

TÌM x

a)   \(x+12=8\)

\(\Leftrightarrow x=8-12\)

\(\Leftrightarrow x=-4\)

b)   \(\frac{2}{3}x+\frac{1}{2}=\frac{1}{10}\)

\(\Leftrightarrow\frac{2}{3}x=\frac{1}{10}-\frac{1}{2}=\frac{1}{10}-\frac{5}{10}=\frac{1-5}{10}\)

\(\Leftrightarrow\frac{2}{3}x=\frac{-4}{10}=\frac{-2}{5}\)

\(\Leftrightarrow x=\frac{-2}{5}:\frac{2}{3}=\frac{-2}{5}\times\frac{3}{2}\)

\(\Leftrightarrow x=\frac{-6}{10}=\frac{-3}{5}\)

A = \(\frac{3^2}{1\cdot4}+\frac{3^2}{4\cdot7}+\frac{3^2}{7\cdot10}+\frac{3^2}{10\cdot13}+\frac{3^2}{13\cdot16}+...+\frac{3^2}{97\cdot100}\)

A : 3 = \(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}+\frac{3}{13\cdot16}+...+\frac{3}{97\cdot100}\)

A : 3 = \(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}+...+\frac{1}{97}-\frac{1}{100}\)

A : 3 = \(\frac{1}{1}-\frac{1}{100}\)

A : 3 = \(\frac{99}{100}\)

A      = \(\frac{297}{100}\)

Giúp Mik ik mai nộp oy

\(\frac27\times5\frac14-\frac27\times3\frac14\)

=\(\frac27\times\left(5\frac14-3\frac14\right)\)

=\(\frac27\times\left(\left(5-3\right)+\left(\frac14-\frac15\right)\right)\)

=\(\frac27\times\left(2+0\right)\)

=\(\frac27\times2\)

=\(\frac47\)

sao bn phũ với mk thế:(( đx ko giải lại còn nói thế

Nó dễ mà :(

bạn có thể cho đề rõ ràng hơn được ko

bạn nào trả lời giúp mk với

a) \(\left(\frac{1}{4}+-\frac{5}{13}\right)+\left(\frac{2}{11}+-\frac{8}{13}+\frac{3}{4}\right)\)

\(=\frac{2}{11}+\left(\frac{1}{4}+\frac{3}{4}\right)+\left(-\frac{5}{13}+-\frac{8}{13}\right)\)

\(=\frac{2}{11}+1+\left(-1\right)\)

\(=\frac{2}{11}+0\)

\(=\frac{2}{11}\)

b) \(\left(\frac{21}{31}+-\frac{16}{7}\right)+\left(\frac{44}{53}+\frac{10}{31}\right)+\frac{9}{53}\)

\(=-\frac{16}{7}+\left(\frac{21}{31}+\frac{10}{31}\right)+\left(\frac{44}{53}+\frac{9}{53}\right)\)

\(=-\frac{16}{7}+1+1\)

\(=-\frac{16}{7}+2\)

=\(-\frac{2}{7}\)

c) \(\frac{\frac{9}{45}-\frac{4}{13}-\frac{1}{3}}{\frac{3}{13}-\frac{1}{15}+\frac{2}{3}}\)

\(=-\frac{43}{81}\)

:v sướng

a, x=\(\frac{7}{30}\)

Bài 2:

- \(\frac75\) + \(x\) = - \(\frac34\)

\(x\) = - \(\frac34+\frac75\)

\(x=-\frac{15}{20}\) + \(\frac{28}{20}\)

\(x\) = \(\frac{13}{20}\)

Vậy \(x=\frac{13}{20}\)

Bài 3:

- \(\frac74\) + \(\frac14:x\) = \(\frac32\)

\(\frac14:x\) = \(\frac32+\frac74\)

\(\frac14:x\) = \(\frac64+\frac74\)

\(\frac14:x=\frac{13}{4}\)

\(x=\frac14:\frac{13}{4}\)

\(x=\frac14\times\frac{4}{13}\)

\(x=\frac{1}{13}\)

Vậy \(x=\frac{1}{13}\)

Kết quả biểu thức trên là X= 151/155 nhé

k cho mình nhé

X : \(3\frac{1}{15}\)=\(1\frac{1}{2}\)

X : \(\frac{46}{15}\)=\(\frac{3}{2}\)

X =  \(\frac{3}{2}\)X \(\frac{46}{15}\)

X = \(\frac{23}{5}\)

#)Giải :

\(x\div3\frac{1}{5}=1\frac{1}{2}\)

\(\Leftrightarrow x\div\frac{16}{5}=\frac{3}{2}\)

\(\Leftrightarrow x=\frac{24}{5}\)hay \(4\frac{4}{5}\)

\(\frac{2}{3}x-\frac{1}{2}x=\frac{5}{12}\)

\(\Leftrightarrow\left(\frac{2}{3}-\frac{1}{2}\right)x=\frac{5}{12}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{5}{12}\)

\(\Leftrightarrow x=\frac{5}{2}\)