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*\(\frac{\left(\frac{3}{10}-\frac{4}{15}-\frac{7}{20}\right).\frac{5}{19}}{\left[\frac{1}{14}+\frac{1}{7}-\left(-\frac{3}{35}\right)\right].\frac{4}{3}}=\frac{\left(\frac{18}{60}-\frac{16}{60}-\frac{21}{60}\right).\frac{5}{19}}{\left(\frac{5}{70}+\frac{10}{70}+\frac{6}{70}\right).\frac{4}{3}}=\frac{\frac{-19}{60}.\frac{5}{19}}{\frac{21}{70}.\frac{4}{3}}=\frac{\frac{-1}{12}}{\frac{14}{35}}=-\frac{1}{12}.\frac{35}{14}=\frac{-35}{168}\)
*\(\frac{\left(1+2+3+...+100\right).\left(\frac{1}{3}-\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\right).\left(6,3.12-21.3,6\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}\)
=\(\frac{\left(1+2+3+...+100\right)\left(\frac{1}{3}-\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\right).\left(\frac{63}{10}.12-21.\frac{18}{5}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}\)
=\(\frac{\left(1+2+3+...+100\right)\left(\frac{1}{3}-\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\right).\left(\frac{378}{5}-\frac{378}{5}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}\)
=\(\frac{\left(1+2+3+...+100\right)\left(\frac{1}{3}-\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\right).0}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}=0\)
1: \(\Leftrightarrow3\left|x-7\right|-48\left|x+2\right|=3x-8\)
TH1: x<-2
Pt sẽ là 3(7-x)-48(-x-2)=3x-8
=>21-3x+48x+96=3x-8
=>45x+117=3x-8
=>42x=-125
=>x=-125/42(nhận)
TH2: -2<=x<7
Pt sẽ là 3(7-x)-48(x+2)=3x-8
=>21-3x-48x-96=3x-8
=>-51x-75=3x-8
=>-48x=67
=>x=-67/48(nhận)
TH3: x>=7
Pt sẽ là 3(x-7)-48(x+2)=3x-8
=>3x-21-48(x+2)=3x-8
=>48(x+2)=-21+8=-13
=>x+2=-13/48
=>x=-109/48(loại)
3: =>|3x-5|=|x-7|
=>3x-5=x-7 hoặc 3x-5=-x+7
=>2x=-2 hoặc 4x=12
=>x=3 hoặc x=-1
a) \(\frac{5}{6}+\left(-\frac{1}{2}\right)+\frac{3}{4}=\frac{10}{12}+\left(-\frac{6}{12}\right)+\frac{9}{12}=\frac{4}{12}+\frac{9}{12}=\frac{13}{12}\)
b) \(\left(0,75-\frac{1}{3}\right):\frac{7}{15}=\left(\frac{3}{4}-\frac{1}{3}\right).\frac{15}{7}=\left(\frac{9}{12}-\frac{4}{12}\right).\frac{15}{7}=\frac{5}{12}.\frac{15}{7}=\frac{25}{28}\)
c) \(\frac{7}{12}-\frac{3}{4}.\frac{5}{6}=\frac{7}{12}-\frac{5}{8}=-\frac{1}{24}\)
d) \(\left(2\frac{1}{3}+1\frac{3}{4}\right).\frac{12}{13}=\left(\frac{7}{3}+\frac{7}{4}\right).\frac{12}{13}=\left(\frac{28}{12}+\frac{21}{12}\right).\frac{12}{13}=\frac{49}{12}.\frac{12}{13}=\frac{49}{13}\)
P/s: Mình cũng chỉ học khá sương sương thôi, thôi thì kết bạn để tiện trao đổi kiến thức nhé =)))
a/ 5/6 + (-1/2) + 3/4
=10/12 +(-6/12) + 9/12
=13/12
b/(0,75-1/3):7/15
= (3/4-1/3):7/15
= 5/12:7/15
=25/28
c/ 7/12 - 3/4 . 5/6
=7/12 - 5/8
=(-1)/24
d/ (hai1/3 + một3/4) . 12/13
=49/12 . 12/13
=49/13