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\(|3x-5|=|\frac{1}{2}+3|\)
\(\Rightarrow|3x-5|=|\frac{7}{2}|=\frac{7}{2}\)
\(\orbr{\begin{cases}3x-5=\frac{7}{2}\\3x-5=-\frac{7}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}3x=\frac{17}{2}\\3x=-\frac{3}{2}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{17}{6}\\x=-\frac{1}{2}\end{cases}}}\)
a) \(\left(\frac{5}{25}-1,008\right):\frac{4}{7}:\left[\left(3\frac{1}{4}-6\frac{5}{9}\right)\cdot2\frac{2}{17}\right]\)
\(=\left(\frac{1}{5}-\frac{126}{125}\right):\frac{4}{7}:\left[\left(\frac{13}{4}-\frac{59}{9}\right)\cdot\frac{36}{17}\right]\)
\(=\left(\frac{25}{125}-\frac{126}{125}\right):\frac{4}{7}:\left[-\frac{119}{36}\cdot\frac{36}{17}\right]\)
\(=-\frac{101}{125}:\frac{4}{7}:\left(-7\right)=-\frac{101}{125}\cdot\frac{7}{4}\cdot\left(-\frac{1}{7}\right)=\frac{101}{500}\)
b) \(\left(-0,5-\frac{3}{5}\right):\left(-3\right)+\frac{1}{3}-\left(-\frac{1}{6}\right):\left(-2\right)\)
\(=\left(-\frac{1}{2}-\frac{3}{5}\right):\left(-3\right)+\frac{1}{3}-\left(-\frac{1}{6}\right)\cdot\left(-\frac{1}{2}\right)\)
\(=-\frac{11}{10}:\left(-3\right)+\frac{1}{3}-\frac{1}{12}\)
\(=\frac{11}{30}+\frac{1}{3}-\frac{1}{12}=\frac{37}{60}\)
A = -5,13 : (25/28 - 8/9 . 1,25 + 16/63)
= -5,13 : (25/28 - 10/9 + 16/63)
= -5,13 : 1/28 = -3591/25 (-143,64)
B = (1 . 1,9 + 19,5 : 4/3) . (62/75 . 4/25)
= ( 1,9 + 117/8 ) . 248/1875
= 661/40 . 248/1875 = 2,185...
a) \(\frac{1}{3}+\frac{3}{5}-\frac{4}{3}\)
\(=\frac{14}{15}-\frac{4}{3}\)
\(=-\frac{6}{15}\)
k cho mik nha bn
a) \(\frac{1}{3}\)+ \(\frac{3}{5}\)- \(\frac{4}{3}\)
= \(\frac{14}{15}\)- \(\frac{4}{3}\)
= \(\frac{14}{15}\)- \(\frac{20}{15}\)
= \(\frac{-2}{5}\)
Ta có :
\(\frac{x}{3}:\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{x}{3}:\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{x}{3}:\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{x}{3}=\frac{35}{8}.\frac{2}{3}=\frac{35.2}{8.3}=\frac{35}{12}\)
\(\Rightarrow\frac{x}{3}=\frac{35}{12}\)
\(\Rightarrow x=35:12.3=\frac{35}{4}\)