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a)\(\frac{77}{24}\)=\(3\frac{5}{24}\)
b)=10
c)\(\frac{24}{35}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(8\frac{7}{12}-5\frac{3}{8}=\frac{8.12+7}{12}-\frac{5.8+3}{8}=\frac{103}{12}-\frac{43}{8}=\frac{77}{24}\)
\(2\frac{9}{13}.3\frac{5}{7}=\frac{2.13+9}{13}.\frac{3.7+5}{7}=\frac{35}{13}.15=\frac{525}{13}\)
\(3\frac{19}{35}:5\frac{7}{42}=\frac{3.35+19}{35}:\frac{5.42+7}{42}=\frac{124}{35}:\frac{31}{6}=\frac{124}{35}.\frac{6}{31}=\frac{24}{35}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x+\frac{3}{4}\right)\times\frac{5}{7}=\frac{10}{9}\)
\(\Rightarrow x+\frac{3}{4}=\frac{10}{9}:\frac{5}{7}=\frac{10}{9}\times\frac{7}{5}=\frac{14}{9}\)
\(\Rightarrow x=\frac{14}{9}-\frac{3}{4}=\frac{56-27}{36}=\frac{29}{36}\)
\(\left(x+\frac{3}{4}\right)\times\frac{5}{7}=\frac{10}{9}\)
\(\Leftrightarrow x+\frac{3}{4}=\frac{14}{9}\)
\(\Rightarrow x=\frac{29}{36}\)
P/s tham khảo nha
![](https://rs.olm.vn/images/avt/0.png?1311)
b) \(\frac{3}{5}:\frac{5}{6}:\frac{6}{7}:\frac{7}{8}+\frac{2}{5}+\frac{23}{35}\)
\(=\frac{3}{5}\times\frac{6}{5}:\frac{6}{7}:\frac{7}{8}+\frac{2}{5}+\frac{23}{35}\)
\(=\frac{18}{25}\times\frac{7}{6}:\frac{7}{8}+\frac{2}{5}+\frac{23}{35}\)
\(=\frac{21}{25}\times\frac{8}{7}+\frac{2}{5}+\frac{23}{35}\)
\(=\frac{24}{25}+\frac{2}{5}+\frac{23}{35}\)
\(=\frac{34}{25}+\frac{23}{35}\)
Chắc mình chỉ làm được đến đây thôi, đúng thì đúng, sai thì kệ
\(3\frac{19}{35}:5\frac{7}{42}\)
\(=\frac{124}{35}:5\frac{1}{6}\)
\(=\frac{124}{35}:\frac{31}{6}\)
\(=\frac{124}{35}.\frac{6}{31}\)
\(=\frac{744}{1085}\)