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a) \(\frac{1}{7}+\frac{6}{7}:\frac{3}{7}\)
\(=\frac{1}{7}+\frac{6}{7}.\frac{7}{3}\) (nhân nghịch đảo)
\(=\frac{1}{7}+2\)
\(=\frac{15}{7}\)
b) \(\frac{4}{5}-\frac{1}{5}.\left(-3\right)\)
\(=\frac{4}{5}-\left(-\frac{3}{5}\right)\)
\(=\frac{7}{5}\)
c) \(\frac{3}{7}+\left(\frac{-5}{2}\right)-\left(-\frac{3}{5}\right)\)
\(=\frac{3}{7}-\left(-\frac{5}{2}\right)+\frac{3}{5}\)
\(=\frac{30}{70}+\frac{175}{70}+\frac{42}{70}\)
\(=\frac{30+175+42}{70}\)
\(=\frac{247}{70}\)
d) viết lại đề hộ mình nhé
a ) \(\left(\frac{2}{5}-x\right):1\frac{1}{3}+\frac{1}{2}=-4\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}+\frac{1}{2}=-4\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}=-4-\frac{1}{2}\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}=-\frac{9}{2}\)
\(\frac{2}{5}-x=-\frac{9}{2}.\frac{4}{3}\)
\(\frac{2}{5}-x=-3\)
\(x=\frac{2}{5}-\left(-3\right)\)
\(x=\frac{2}{5}+3\)
\(x=\frac{3}{5}-\frac{15}{5}\)
\(x=-\frac{12}{5}\)
Vay \(x=-\frac{12}{5}\)
b ) \(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(1+\frac{2}{5}+\frac{2}{3}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(\frac{15}{15}+\frac{6}{15}+\frac{10}{15}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(\frac{15+6+10}{15}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\frac{31}{15}=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right)=-\frac{5}{4}.\frac{31}{15}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right)=-\frac{1}{4}.\frac{31}{3}\)
\(-3+\frac{3}{x}-\frac{1}{3}=-\frac{31}{12}\)
\(-3+\frac{3}{x}=-\frac{31}{12}+\frac{1}{2}\)
\(-3+\frac{3}{x}=-\frac{31}{12}+\frac{6}{12}\)
\(-3+\frac{3}{x}=\frac{-25}{12}\)
\(\frac{3}{x}=\frac{-25}{12}+3\)
\(\frac{3}{x}=\frac{-25}{12}+\frac{36}{12}\)
\(\frac{3}{x}=\frac{5}{6}\)
\(\frac{18}{6x}=\frac{5x}{6x}\)
Đèn dây , bạn tự làm tiếp nhé , de rồi chứ
a, Cho P(x) = 0
\(\Rightarrow\) 2/5x+1/3=0
\(\Rightarrow\) 2/5x= -1/3
\(\Rightarrow\)x= -5/6
b,Cho Q(x)=0
\(\Rightarrow\)(x-2)2017 - (x-2) = 0
\(\Rightarrow\)(x - 2) \(\times\)\([\left(x-2\right)^{2016}-1]\)= 0
\(\Rightarrow\)x - 2 = 0 hoặc (x - 2 )2016 -1 =0
\(\Rightarrow\)x = 2 hoặc x = 3 ; x = 1
Ta có :
\(\frac{x}{3}:\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{x}{3}:\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{x}{3}:\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{x}{3}=\frac{35}{8}.\frac{2}{3}=\frac{35.2}{8.3}=\frac{35}{12}\)
\(\Rightarrow\frac{x}{3}=\frac{35}{12}\)
\(\Rightarrow x=35:12.3=\frac{35}{4}\)
\(|3x-5|=|\frac{1}{2}+3|\)
\(\Rightarrow|3x-5|=|\frac{7}{2}|=\frac{7}{2}\)
\(\orbr{\begin{cases}3x-5=\frac{7}{2}\\3x-5=-\frac{7}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}3x=\frac{17}{2}\\3x=-\frac{3}{2}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{17}{6}\\x=-\frac{1}{2}\end{cases}}}\)
\(A=\frac{m+3}{m-2}=\frac{m-2+3}{m-2}=\frac{m-2}{m-2}+\frac{3}{m-2}=1+\frac{3}{m-2}\)
Để \(A\inℤ\)thì\(1+\frac{3}{m-2}\inℤ\)
\(\Leftrightarrow\frac{3}{m-2}\inℤ\)
Vì \(m\inℤ\Rightarrow m-2\inℤ\)
\(\Rightarrow m-2\inƯ\left(3\right)\)
Ta có bảng
| m-2 | -3 | -1 | 1 | 3 |
| m | -1 | 1 | 3 | 5 |
Vậy \(m\in\left\{-1;1;3;5\right\}\)
\(A=\frac{m+3}{m-2}=\frac{m-2+5}{m-2}=1+\frac{5}{m-2}\inℤ\)
\(\Leftrightarrow\frac{5}{m-2}\inℤ\Leftrightarrow5⋮m-2\)
\(\Rightarrow m-2\inƯ_{\left(5\right)}=\left\{-5,1,1,5\right\}\)
\(m-2=-5\Rightarrow m=-5+2=-3\)
\(m-2=-1\Rightarrow m=-1+2=1\)
\(m-2=1\Rightarrow m=1+2=3\)
\(m-2=5\Rightarrow m=5+2=7\)
Vậy: \(m\in\left\{-3,1,3,7\right\}\)
a) \(\left(\frac{5}{25}-1,008\right):\frac{4}{7}:\left[\left(3\frac{1}{4}-6\frac{5}{9}\right)\cdot2\frac{2}{17}\right]\)
\(=\left(\frac{1}{5}-\frac{126}{125}\right):\frac{4}{7}:\left[\left(\frac{13}{4}-\frac{59}{9}\right)\cdot\frac{36}{17}\right]\)
\(=\left(\frac{25}{125}-\frac{126}{125}\right):\frac{4}{7}:\left[-\frac{119}{36}\cdot\frac{36}{17}\right]\)
\(=-\frac{101}{125}:\frac{4}{7}:\left(-7\right)=-\frac{101}{125}\cdot\frac{7}{4}\cdot\left(-\frac{1}{7}\right)=\frac{101}{500}\)
b) \(\left(-0,5-\frac{3}{5}\right):\left(-3\right)+\frac{1}{3}-\left(-\frac{1}{6}\right):\left(-2\right)\)
\(=\left(-\frac{1}{2}-\frac{3}{5}\right):\left(-3\right)+\frac{1}{3}-\left(-\frac{1}{6}\right)\cdot\left(-\frac{1}{2}\right)\)
\(=-\frac{11}{10}:\left(-3\right)+\frac{1}{3}-\frac{1}{12}\)
\(=\frac{11}{30}+\frac{1}{3}-\frac{1}{12}=\frac{37}{60}\)