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a, 6/9+5/7+1/3=2/3+5/7+1/3=5/7+1=12/7
b, 17/7+6/5-20/14=17/7+6/5-10/7=6/5+1=11/5
c,2/5x1/4+3/4x2/5=2/5x(1/4+3/4)=2/5x1=2/5
d, 6/11:4/6+5/11:2/3=6/11:2/3+5/11:2/3=(6/11+5/11):2/3=3/2
nha
a) \(\frac{11}{15}+\frac{5}{7}+\frac{2}{7}+\frac{4}{15}=\left(\frac{11}{15}+\frac{4}{15}\right)+\left(\frac{5}{7}+\frac{2}{7}\right)\)
\(=2\)
b) \(\frac{5}{9}\times\frac{1}{2}\times\frac{5}{9}\times\frac{6}{4}=\frac{25}{81}\times\frac{3}{4}=\frac{25}{108}\)
c) \(\frac{7}{8}\div\frac{1}{2}+\frac{9}{8}\div\frac{1}{2}=\left(\frac{7}{8}+\frac{9}{8}\right)\div\frac{1}{2}\)
\(=2\div\frac{1}{2}=4\)
d) \(\frac{17}{10}+\frac{1}{2}-\frac{7}{10}=\left(\frac{17}{10}-\frac{7}{10}\right)+\frac{1}{2}\)
\(=1+\frac{1}{2}=\frac{3}{2}\)
a) \(\frac{11}{15}+\frac{5}{7}+\frac{2}{7}+\frac{4}{15}\)
\(=\left(\frac{11}{15}+\frac{4}{15}\right)+\left(\frac{5}{7}+\frac{2}{7}\right)\)
\(=1+1\)
\(=2\)
b) \(\frac{5}{9}.\frac{1}{2}.\frac{5}{9}.\frac{6}{4}\)
\(=\left(\frac{5}{9}\right)^2\left(\frac{1}{2}.\frac{6}{4}\right)\)
\(=\frac{25}{81}.\frac{3}{4}\)
\(=\frac{25}{108}\)
c) \(\frac{7}{8}:\frac{1}{2}+\frac{9}{8}:\frac{1}{2}\)
\(=\frac{7}{8}.2+\frac{9}{8}.2\)
\(=2\left(\frac{7}{8}+\frac{9}{8}\right)\)
\(=2.\frac{16}{8}\)
\(=2.2\)
\(=4\)
d) \(\frac{17}{10}+\frac{1}{2}-\frac{7}{10}\)
\(=\left(\frac{17}{10}-\frac{7}{10}\right)+\frac{1}{2}\)
\(=1+\frac{1}{2}\)
\(=\frac{2}{2}+\frac{1}{2}\)
\(=\frac{3}{2}\)
\(a,\left(x+\frac{5}{3}\right)\times\frac{9}{13}=\frac{2}{3}\\ \Rightarrow x+\frac{5}{3}=\frac{26}{27}\\ \Rightarrow x=-\frac{19}{27}\)\(b,43770\div x=560-434\\ \Rightarrow43770\div x=126\\ \Rightarrow x=\frac{7295}{21}\)\(c,x\div3\frac{1}{3}=2\frac{2}{5}+\frac{7}{10}\\ x\div3\frac{1}{3}=\frac{31}{10}\\ x=\frac{31}{3}\)
\(1\frac{2}{24}\times5\frac{2}{5}\times2\times3\frac{7}{9}\times2\)x2/17
\(=\frac{26}{24}\times\frac{27}{5}\times2\times\frac{34}{9}\times2\times\frac{2}{17}\)
\(=\frac{351}{60}\times2\times\frac{34}{9}\times2\times\frac{2}{17}\)
\(=\frac{351}{30}\times\frac{34}{9}\times2\times\frac{2}{17}\)
\(=\frac{5967}{135}\times2\times\frac{2}{17}\)
\(=\frac{11934}{135}\times\frac{2}{17}\)
\(=\frac{2652}{255}\)