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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) \(\frac{7}{13}+\frac{2}{9}>\frac{3}{26}+\frac{7}{13}\)
a) A = \(\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+...+\frac{1}{30}\)
A > \(\frac{1}{30}+\frac{1}{30}+\frac{1}{30}+...+\frac{1}{30}\)
A > \(\frac{1}{30}.20\)
A > \(\frac{2}{3}\)
Vậy A > \(\frac{2}{3}\)
b) A = \(\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+...+\frac{1}{30}\)
A < \(\frac{1}{11}+\frac{1}{11}+\frac{1}{11}+...+\frac{1}{11}\)
A < \(\frac{1}{11}.20\)
A < \(\frac{20}{11}\)
Mà \(\frac{20}{11}\)\(< 2\)
=> A < 2
Vậy A <2
ỦNG HỘ NHA
- a B,b D
- a \(\frac{1}{2}\)b \(\frac{2}{5}\)
- \(\frac{2}{3};\frac{10}{17};\frac{5}{11};\frac{4}{9}\)
- a\(\frac{5}{12}\)b\(\frac{97}{36}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=1-\left(\frac{1}{2}-\frac{1}{2}\right)-\left(\frac{1}{3}-\frac{1}{3}\right)-......-\left(\frac{1}{6}-\frac{1}{6}\right)-\frac{1}{7}\)
\(=1-\frac{1}{7}\)
\(=\frac{6}{7}\)
1/2+1/6+1/12+1/20+1/30+1/42
=1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
Làm giúp mik đi mà!
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