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Điền dấu(<,>.=)
\(\frac{6}{7}...\frac{7}{9}\)\(\frac{31}{32}...\frac{26}{25}\)\(\frac{2014}{4}...1\)
\(\frac{6}{7}\) > \(\frac{7}{9}\)
\(\frac{31}{32}\) < \(\frac{26}{25}\)
\(\frac{2014}{4}\) > 1
a) \(\frac{1}{2}+\frac{1}{4}< \frac{3}{4}+\frac{1}{5}\)
b) \(\frac{7}{13}+\frac{2}{9}>\frac{3}{26}+\frac{7}{13}\)
~ GHÉT ..............................~
a) \(\frac{1}{2}+\frac{1}{4}< \frac{3}{4}+\frac{1}{5}\)
b) \(\frac{7}{13}+\frac{2}{9}>\frac{3}{26}+\frac{7}{13}\)
\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+....+\frac{1}{19.21}\right).x=\frac{9}{7}\)
\(\left(\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+...+\frac{21-19}{19.21}\right).x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\frac{2}{7}\right].x=\frac{9}{7}\)
\(\frac{1}{7}.x=\frac{9}{7}\)
\(\Rightarrow x=\frac{9}{7}\div\frac{1}{7}=9\)
\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{19.21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{19}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\frac{2}{7}x=\frac{9}{7}\)
\(\Leftrightarrow x=\frac{9}{2}\)
ta có 1/5+1/5+1/5+1/5+1/5>1/5+1/6+1/7+1/8+1/9. Ma : 1/5+1/5+1/5+1/5+1/5=1 Nen :1/5+1/6+1/7+1/8+1/9<1
a, \(\frac{5}{11}\times\frac{7}{25}+\frac{15}{11}\times\frac{1}{5}\)
\(=\frac{5}{11}\times\frac{7}{25}+\frac{5}{11}\times\frac{3}{5}\)
\(=\frac{5}{11}\times\left(\frac{7}{25}+\frac{3}{5}\right)\)
\(=\frac{5}{11}\times\frac{22}{25}\)
\(=\frac{2}{5}\)
b, \(\frac{3}{7}\times\frac{25}{19}-\frac{1}{7}\times\frac{18}{19}\)
\(=\frac{1}{7}\times\frac{75}{19}-\frac{1}{7}\times\frac{18}{19}\)
\(=\frac{1}{7}\times\left(\frac{75}{19}-\frac{18}{19}\right)\)
\(=\frac{1}{7}\times3\)
\(=\frac{3}{7}\)
\(\frac{9}{8}>\frac{8}{9}\)
\(\frac{16}{23}>\frac{16}{25}\)
\(\frac{8}{11}< \frac{8}{10}\)
\(\frac{10}{13}>\frac{19}{26}\)
\(\frac{13}{15}< \frac{11}{10}\)
\(\frac{11}{9}=\frac{44}{36}\)
9/8 > 8/9
16/23 > 16/25
8/11 < 8/10
10/13 > 19/26
13/15 < 11/10
11/9 = 44/36
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