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tính nhanh :
C= \(\frac{1}{3}\)+\(\frac{1}{10}\)+\(\frac{1}{15}\)+..................+\(\frac{1}{45}\)
C=\(\frac{1}{3}+\frac{1}{10}+\frac{1}{15}+\frac{1}{20}+\frac{1}{25}+\frac{1}{30}+\frac{1}{35}+\frac{1}{40}\)
=\(\frac{1}{3}+\frac{1}{15}+\frac{1}{10}+\frac{1}{20}+\frac{1}{30}+\frac{1}{40}+\frac{1}{25}+\frac{1}{35}\)
=\(\frac{5}{15}+\frac{1}{15}+\frac{4}{40}+\frac{2}{40}+\frac{1}{40}+\frac{1}{30}+\frac{1}{25}+\frac{1}{35}\)
=\(\frac{6}{15}+\frac{7}{40}+\frac{107}{1050}\)
Phần A có các phân số sau:\(\frac{18}{24};\frac{15}{35};\frac{52}{76};\frac{75}{100};\frac{1313}{1919}\)
Phần B có các phân số sau:\(\frac{350}{280};\frac{45}{36}\)
Phần A có các phân số sau:\frac{18}{24};\frac{15}{35};\frac{52}{76};\frac{75}{100};\frac{1313}{1919}2418;3515;7652;10075;19191313
Phần B có các phân số sau:\frac{350}{280};\frac{45}{36}280350;3645
132 x 145 + 100 = 19140 + 100
= 19240
145 x 133 - 45 = 19285 -45
= 19240
132 x 145 + 100 = 132 x 100 + 145 x 100
= 13200 + 14500
= 23700
145 x 133 - 45 = ..............
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+...+\frac{1}{45}\)
\(=\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+...+\frac{2}{90}\)
\(=\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+\frac{2}{5.6}+...+\frac{2}{9.10}\)
\(=2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+..+\frac{1}{9}-\frac{1}{10}\right)\)
\(=2.\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=2.\frac{2}{5}=\frac{4}{5}\)
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+...+\frac{1}{45}\)
\(=\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+...+\frac{2}{90}\)
\(=\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+\frac{2}{5.6}+...+\frac{2}{9.10}\)
\(=2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=2.\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=\frac{4}{5}\)
Tính
\(\frac{15}{25}+\frac{80}{125}+\frac{12}{42}+\frac{78}{100}+\frac{18}{12}\)
\(\frac{3}{5}+\frac{16}{25}+\frac{6}{21}+\frac{39}{50}+\frac{3}{2}\)
\(\frac{15}{25}+\frac{16}{25}+\frac{39}{50}+\frac{6}{21}+\frac{3}{2}\)
\(\frac{62}{50}+\frac{39}{50}+\frac{12}{42}+\frac{63}{42}\)
\(\frac{101}{50}+\frac{75}{42}\)
\(\frac{4242}{2100}+\frac{3750}{2100}\)
\(\frac{7992}{2100}\)
\(\frac{145\times132+45}{145\times133-100}\)
\(=\frac{145\times132+45}{145\times\left(132+1\right)-100}\)
\(=\frac{145\times132+45}{145\times132+145\times1-100}\)
\(=\frac{145\times132+45}{145\times132+145-100}\)
\(=\frac{145\times132+45}{145\times132+45}\)
\(=1\)
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