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1) \(\frac{4}{7}-\frac{1}{14}+\left|\frac{-5}{21}\right|\)
\(=\frac{4}{7}-\frac{1}{14}+\frac{5}{21}\)
\(=\frac{24}{42}-\frac{3}{42}+\frac{10}{42}\)
\(=\frac{31}{42}\)
2) \(\left|\frac{-2}{3}\right|-\frac{1}{2}+3\)
\(=\frac{2}{3}-\frac{1}{2}+\frac{3}{1}\)
\(=\frac{4}{6}-\frac{3}{6}+\frac{18}{6}\)
\(=\frac{19}{6}\)
3) \(\left|\frac{7}{-4}\right|-\frac{5}{8}+\frac{-2}{3}\)
\(=\frac{7}{4}-\frac{5}{8}+\frac{-2}{3}\)
\(=\frac{42}{24}-\frac{15}{24}+\frac{-16}{24}\)
\(=\frac{11}{24}\)
4) \(\frac{4}{5}+\left|\frac{-3}{2}\right|+\frac{1}{-4}\)
\(=\frac{4}{5}+\frac{3}{2}+\frac{-1}{4}\)
\(=\frac{16}{20}+\frac{30}{20}+\frac{-5}{20}\)
\(=\frac{41}{20}\)
5) \(\left|\frac{-1}{4}\right|-3+\frac{3}{4}\)
\(=\frac{1}{4}-\frac{3}{1}+\frac{3}{4}\)
\(=\frac{1}{4}-\frac{12}{4}+\frac{3}{4}\)
\(=-2\)
6) \(\left|\frac{-1}{3}\right|-\frac{5}{4}+\frac{1}{5}\)
\(=\frac{1}{3}-\frac{5}{4}+\frac{1}{5}\)
\(=\frac{20}{60}-\frac{75}{60}+\frac{12}{60}\)
\(=\frac{-43}{60}\)

@@@) Ta có: \(A=\frac{5^{2016}+4}{5^{2015}+4}\Rightarrow\frac{1}{5}A=\frac{5^{2016}+4}{5^{2016}+20}=1+\frac{-16}{5^{2016}+20}\)
\(B=\frac{5^{2014}+4}{5^{2013}+4}\Rightarrow\frac{1}{5}B=\frac{5^{2014}+4}{5^{2014}+20}=1+\frac{-16}{5^{2014}+20}\)
Ta thấy: \(1+\frac{-16}{5^{2016}+20}>1+\frac{-16}{5^{2014}+20}\) =>\(\frac{1}{5}A>\frac{1}{5}B\Rightarrow A>B\)
Bài thứ 2 sai để nhé hai cái đó = nhau mà

Cộng các tổng ở các mẫu số được: \(S=1+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}.\)
\(\Leftrightarrow S=1+\frac{1}{2}\left(1-\frac{1}{3}\right)+\frac{1}{6}+\frac{1}{10}+\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{1}{21}+\frac{1}{3}\left(\frac{1}{4}-\frac{1}{7}\right)+\frac{1}{36}.\)
Thực hiện các phép nhân một số với một hiệu ,được:
\(S=1+\frac{1}{2}-\frac{1}{6}+\frac{1}{6}+\frac{1}{10}+\frac{1}{6}-\frac{1}{15}+\frac{1}{21}+\frac{1}{12}-\frac{1}{21}+\frac{1}{36}.\)
Giản ước, làm gọn được : \(S=(1+\frac{1}{2})+(\frac{1}{10}+\frac{1}{6}-\frac{1}{15})+(\frac{1}{12}+\frac{1}{36}).\)
\(\Leftrightarrow S=\frac{3}{2}+\frac{1}{5}+\frac{1}{9}=\frac{135+18+10}{90}=\frac{163}{90}.\)

a) \(6\dfrac{5}{7}-\left(1\dfrac{3}{4}+2\dfrac{5}{7}\right)\)
\(=6\dfrac{5}{7}-1\dfrac{3}{4}-2\dfrac{5}{7}\)
\(=\left(6\dfrac{5}{7}-2\dfrac{5}{7}\right)-1\dfrac{3}{4}\)
\(=4-1\dfrac{3}{4}\)
\(=3\dfrac{3}{4}\)
b) \(7\dfrac{5}{11}-\left(2\dfrac{3}{7}+3\dfrac{5}{11}\right)\)
\(=7\dfrac{5}{11}-2\dfrac{3}{7}-3\dfrac{5}{11}\)
\(=\left(7\dfrac{5}{11}-3\dfrac{5}{11}\right)-2\dfrac{3}{7}\)
\(=4-2\dfrac{3}{7}\)
\(=2\dfrac{3}{7}\)

\(1)\frac{1}{2}x-\frac{3}{5}=\frac{-4}{5}\)
\(\Rightarrow\frac{1}{2}x=\frac{-4}{5}+\frac{3}{5}\)
\(\Rightarrow\frac{1}{2}x=\frac{-1}{5}\)
\(\Rightarrow x=\frac{-1}{5}:\frac{1}{2}=\frac{-1}{5}\cdot\frac{2}{1}=\frac{-2}{5}\)
\(\Leftrightarrow x=\frac{-2}{5}\)
\(2)3\frac{1}{5}-2\frac{1}{3}x=-1\frac{3}{5}+1\frac{7}{10}\)
\(\Rightarrow\frac{16}{5}-\frac{7}{3}x=-\frac{8}{5}+\frac{17}{10}\)
\(\Rightarrow\frac{7}{3}x=\frac{16}{5}-\frac{-8}{5}+\frac{17}{10}\)
\(\Rightarrow\frac{7}{3}x=\frac{16}{5}+\frac{8}{5}+\frac{17}{10}\)
\(\Rightarrow\frac{7}{3}x=\frac{24}{5}+\frac{17}{10}\)
\(\Rightarrow\frac{7}{3}x=\frac{48}{10}+\frac{17}{10}\)
Đến đây tìm được rồi nhé
3,4, áp dụng bài 1,2 rồi làm :v
trả lời nhanh kể mình sắp đi học
\(\dfrac{1}{4}+\dfrac{3}{5}=\dfrac{5}{20}+\dfrac{12}{20}=\dfrac{17}{20}\)