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4/3>1;1>3/4;4/3>3/4
1<11/9;9/11<11/9
100/99>1;1>99/100;100/99>99/100
minh nha cac ban
4/3>1;1>3/4;4/3>3/4
1<11/9;9/11<11/9
100/99>1;1>9/100;100/99>99/100
a) \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(=1-\frac{1}{4}\)
\(=\frac{3}{4}\)
b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)
\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)
\(=\frac{4}{7}\times1\)
\(=\frac{4}{7}\)
c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)
\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)
\(=\frac{3}{8}\times1\)
\(=\frac{3}{8}\)
d) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9=135
\(\frac{4}{9}x\frac{7}{5}\)=\(\frac{28}{45}\)
\(\frac{15}{7}:9\)=\(\frac{5}{21}\)
\(\frac{2}{5}x\frac{3}{4}-\frac{1}{8}\) \(\frac{3}{10}-\frac{1}{8}\)=\(\frac{7}{40}\)
\(\frac{4}{3}+\frac{1}{3}-\frac{1}{5}\)= \(\frac{5}{3}-\frac{1}{5}\)=\(\frac{22}{15}\)
\(\frac{1}{2}+\frac{1}{3}=\frac{1.3}{2.3}+\frac{1.2}{2.3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}\)
\(\frac{7}{8}+\frac{2}{9}=\frac{63}{72}+\frac{16}{72}=\frac{79}{72}\)
\(\frac{17}{9}-\frac{11}{9}=\frac{6}{9}=\frac{2}{3}\)
\(\frac{1}{2}:\frac{1}{3}=\frac{1}{2}.\frac{3}{1}=\frac{3}{2}\)
\(\frac{1}{8}x\frac{7}{8}=\frac{7}{64}\)
Ủng hộ nhé !
3/9 + 1/3 = 2/3
3/9 + 1/3 = 1/3 + 1/3 = 2/3