Tìm x : 3 - ( 5 \(\frac{3}{8}\)+ x - 7 \(\frac{5}{24}\)) : 16 \(\frac{2}{3}\)= 2
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\(2-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)\)\(:16\frac{2}{3}=0\)
\(\Rightarrow\)\(2-\left(5\frac{3}{8}+x-7\frac{5}{24}\right)=0\)
\(\Rightarrow\)\(5\frac{3}{8}+x-7\frac{5}{24}=2\)
\(\Rightarrow5\frac{3}{8}+x=9\frac{5}{24}\)
\(\Rightarrow x=3\frac{5}{6}\)
( Cách làm thì đúng rồi nhưng đáp án tớ ko chắc chắn )
a) \(\frac{1}{15}+\frac{1}{35}+...+\frac{1}{195}\)
= \(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{13.15}\)
= \(\frac{1}{2}.\left(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{13.15}\right)\)
= \(\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)\)
= \(\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{15}\right)\)
= \(\frac{1}{2}.\frac{4}{15}\)
= \(\frac{2}{15}\)
a, \(x-\frac{5}{6}=\frac{-2}{3}\)
\(\Leftrightarrow x=\frac{1}{6}\)
b, \(\frac{-7}{5}+x=\frac{-4}{3}\)
\(\Leftrightarrow x=\frac{1}{15}\)
c, \(x-\frac{2}{5}=-\frac{1}{6}-\frac{3}{-4}\)
\(\Leftrightarrow x-\frac{2}{5}=-\frac{1}{6}+\frac{3}{4}\)
\(\Leftrightarrow x-\frac{2}{5}=\frac{7}{12}\Leftrightarrow x=\frac{59}{60}\)
3 - ( 5\(\frac{3}{8}\)+ x - 7\(\frac{5}{24}\)) : 16\(\frac{2}{3}\)= 2
3 - ( \(\frac{43}{8}\)+ x - \(\frac{173}{24}\)) : \(\frac{50}{3}\)= 2
3 - ( \(\frac{43}{8}\)+ x - \(\frac{173}{24}\)) = 2 x \(\frac{50}{3}\)
3 - ( \(\frac{43}{8}\)+ x - \(\frac{173}{24}\)) = \(\frac{100}{3}\)
\(\frac{43}{8}\)+ x - \(\frac{173}{24}\)= 3 - \(\frac{100}{3}\)
\(\frac{43}{8}\)+ x - \(\frac{173}{24}\)= \(-\frac{97}{3}\)
\(\frac{43}{8}\)+ x = \(-\frac{97}{3}+\frac{173}{24}\)
\(\frac{43}{8}\)+ x = \(-\frac{201}{8}\)
x = \(-\frac{201}{8}-\frac{43}{8}\)
x = \(=-\frac{61}{2}\)