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a)
\(\left(x-\dfrac{2}{3}\right):\dfrac{1}{2}=\dfrac{5}{7}\)
\(\Rightarrow x-\dfrac{2}{3}=\dfrac{5}{7}\) x \(\dfrac{1}{2}\)
\(\Rightarrow x-\dfrac{2}{3}=\dfrac{5}{14}\)
\(\Rightarrow x=\dfrac{5}{14}+\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{15}{42}+\dfrac{2}{42}\)
\(\Rightarrow x=\dfrac{17}{42}\)
b)
\(x\) x \(\dfrac{1}{2}=1-\dfrac{1}{3}\)
\(x\) x \(\dfrac{1}{2}=\dfrac{3}{3}-\dfrac{1}{3}\)
\(x\) x \(\dfrac{1}{2}=\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{3}:\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{2}{3}\) x \(2=\dfrac{4}{3}\)
c)
\(\dfrac{26}{5}-x=\dfrac{9}{15}\) x \(\dfrac{25}{3}\)
\(\dfrac{26}{5}-x=5\)
\(\Rightarrow x=\dfrac{26}{5}-5\)
\(\Rightarrow x=\dfrac{26}{5}-\dfrac{25}{5}\)
\(\Rightarrow x=\dfrac{1}{5}\)
a) \(\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{2}{5}\right)\times\left(1-\dfrac{2}{7}\right)\times\left(1-\dfrac{2}{9}\right)\)
\(=\left(\dfrac{3}{3}-\dfrac{1}{3}\right)\times\left(\dfrac{5}{5}-\dfrac{2}{5}\right)\times\left(\dfrac{7}{7}-\dfrac{2}{7}\right)\times\left(\dfrac{9}{9}-\dfrac{2}{9}\right)\)
\(=\dfrac{2}{3}\times\dfrac{3}{5}\times\dfrac{5}{7}\times\dfrac{7}{9}\)
\(=\dfrac{2\times3\times5\times7}{3\times5\times7\times9}\)
\(=\dfrac{2}{9}\)
b) \(\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+\dfrac{1}{7\times9}\)
\(=1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}\)
\(=1-\dfrac{1}{9}\)
\(=\dfrac{9}{9}-\dfrac{1}{9}\)
\(=\dfrac{8}{9}\)
Sửa câu b)
b) \(\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+\dfrac{1}{7\times9}\)
Đặt \(A=\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+\dfrac{1}{7\times9}\)
\(2A=\dfrac{2}{1\times3}+\dfrac{2}{3\times5}+\dfrac{2}{5\times7}+\dfrac{2}{7\times9}\)
\(2A=1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}\)
\(2A=1-\dfrac{1}{9}\)
\(2A=\dfrac{9}{9}-\dfrac{1}{9}\)
\(2A=\dfrac{8}{9}\)
\(A=\dfrac{8}{9}:2\)
\(A=\dfrac{8}{18}\)
\(A=\dfrac{4}{9}\)
Vậy : \(\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+\dfrac{1}{7\times9}=\dfrac{4}{9}\)
\(x-\frac{1}{4}=\frac{3}{5}\)
\(x=\frac{3}{5}+\frac{1}{4}\)
\(x=\frac{12}{20}+\frac{5}{20}\)
\(x=\frac{17}{20}\)
\(x:\frac{2}{3}=\frac{1}{2}\)
\(x=\frac{1}{2}.\frac{2}{3}\)
\(x=\frac{1}{3}\)
Hok tốt
\(x-\frac{1}{4}=\frac{3}{5}\)
\(x\) \(=\frac{3}{5}+\frac{1}{4}\)
\(x\) \(=\frac{12}{20}+\frac{5}{20}\)
\(x\) \(=\frac{17}{20}\)
\(x:\frac{2}{3}=\frac{1}{2}\)
\(x\) \(=\frac{1}{2}x\frac{2}{3}\)
\(x\) \(=\frac{2}{6}\)rút gọn \(\frac{1}{3}\)
\(x+\dfrac{1}{5}-\dfrac{3}{7}=\dfrac{6}{35}\)
\(x+\dfrac{1}{5}=\dfrac{6}{35}+\dfrac{3}{7}\)
\(x+\dfrac{1}{5}=\dfrac{6}{35}+\dfrac{15}{35}\)
\(x+\dfrac{1}{5}=\dfrac{21}{35}\)
\(x=\dfrac{21}{35}-\dfrac{1}{5}\)
\(x=\dfrac{21}{35}-\dfrac{7}{35}\)
\(x=\dfrac{14}{35}=\dfrac{2}{5}\)
\(x\) + \(\dfrac{1}{5}\) - \(\dfrac{3}{7}\) = \(\dfrac{6}{35}\)
\(x\) + \(\dfrac{1}{5}\) = \(\dfrac{6}{35}\) + \(\dfrac{3}{7}\)
\(x\) + \(\dfrac{1}{5}\) = \(\dfrac{3}{5}\)
\(x\) = \(\dfrac{3}{5}\) - \(\dfrac{1}{5}\)
\(x\) =\(\dfrac{2}{5}\)
\(=>\dfrac{a}{b}\times\left(-\dfrac{2}{7}+\dfrac{5}{7}\right)=\dfrac{5}{7}\)
\(=>\dfrac{a}{b}\times\dfrac{3}{7}=\dfrac{5}{7}=>\dfrac{a}{b}=\dfrac{5}{7}:\dfrac{3}{7}=\dfrac{5}{3}\)
vậy \(\dfrac{a}{b}=\dfrac{5}{3}\)
\(\Rightarrow\dfrac{a}{b}\times\left(-\dfrac{2}{7}+\dfrac{5}{7}\right)=\dfrac{5}{7}\\ \Rightarrow\dfrac{a}{b}\times\dfrac{3}{7}=\dfrac{5}{7}\\ \Rightarrow\dfrac{a}{b}=\dfrac{5}{7}:\dfrac{3}{7}\\ \Rightarrow\dfrac{a}{b}=\dfrac{5}{3}\\ \Rightarrow a=5;b=3\)
a)\(\dfrac{24}{36}\)=\(\dfrac{8}{12}\)
b)\(\dfrac{14}{56}\)=\(\dfrac{1}{4}\)
c)\(\dfrac{9}{24}\)=\(\dfrac{21}{56}\)
Chúc bạn học tốt!
A\(\frac{7}{8}+\frac{7}{12}+\frac{9}{8}+\frac{5}{12}\)
\(=\left(\frac{7}{12}+\frac{5}{12}\right)+\left(\frac{7}{8}+\frac{9}{8}\right)\)
\(=1+2\)
\(=3\)
\(x+\left[\frac{5}{5}+\frac{5}{45}+\frac{5}{117}+\frac{5}{221}+...+\frac{5}{1845}\right]=2\)
\(x+\left[\frac{5}{1.5}+\frac{5}{5.9}+\frac{5}{9.13}+\frac{5}{13.17}+...+\frac{5}{41.45}\right]=2\)
\(\frac{5}{4}x+\frac{5}{4}.\left(\frac{4}{1.5}+\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}\right)=\frac{2.5}{4}=\frac{5}{2}\)
\(\frac{5}{4}x+\frac{5}{4}.\left(1-\frac{1}{45}\right)=\frac{5}{2}\)
\(\frac{5}{4}x+\frac{11}{9}=\frac{5}{2}\)
\(\frac{5}{4}x=\frac{23}{18}\)
\(x=\frac{46}{45}\)