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\(\frac{74\times158+69}{158\times75-89}\)
= \(\frac{74\times158+69}{158\times\left(74+1\right)-89}\)
= \(\frac{74\times158+69}{158\times74+158-89}\)
= \(\frac{74\times158+69}{158\times74+\left(158-89\right)}\)
= \(\frac{74\times158+69}{74\times158+69}\)
= 1
Theo đề bài,ta có:
18.219+6.408.3+9.373.2/1+5+9+13+...+65+69+73.2-176
=18.219+(6.3).(408:3).3+(9.2).(373:2).2/ {(65+1).[(65-1):4+1]:2}+146-176
=18.219+18.136.3+18.373/2.2/66.17:2+146-176
=18.219+18.408+18.373/561+146-176
=18.(219+408+373)/707-176
=18.1000/531
=18000/531
=18000:9/531:9
=2000/59
\(\frac{4-\frac{3}{69}-\frac{168}{117}-\frac{75}{141}}{\frac{5}{69}+\frac{5}{117}+\frac{5}{141}}\)
=\(\frac{\frac{66}{69}-\frac{66}{117}-\frac{66}{141}}{\frac{5}{69}+\frac{5}{117}+\frac{5}{141}}\)
=\(\frac{66\left(\frac{1}{69}+\frac{1}{117}+\frac{1}{141}\right)}{5\left(\frac{1}{69}+\frac{1}{117}+\frac{1}{141}\right)}\)
=\(\frac{66}{5}\)
\(D=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2017}{2018}\)
\(D=\frac{1}{2018}\)
Vậy \(D=\frac{1}{2018}\)
\(E=\frac{1}{4.9}+\frac{1}{9.14}+\frac{1}{14.19}+...+\frac{1}{64.69}+\frac{1}{69.74}\)
\(E=\frac{1}{5}\cdot\left(\frac{1}{4}-\frac{1}{9}+\frac{1}{9}-\frac{1}{14}+...+\frac{1}{69}-\frac{1}{74}\right)\)
\(E=\frac{1}{5}\cdot\left(\frac{1}{4}-\frac{1}{74}\right)\)
\(E=\frac{1}{5}\cdot\frac{35}{148}=\frac{7}{148}\)
Vậy E = ...
a) \(\frac{158\cdot168-168\cdot58}{110}\)
\(=\frac{\left(158-58\right)\cdot168}{110}\)
\(=\frac{100\cdot168}{110}=\frac{16800}{110}=\frac{1680}{11}\)
b) \(\frac{\left(456.11+912\right)\cdot37}{13\cdot74}\)
\(=\frac{456\cdot11+456\cdot2\cdot37}{13\cdot37\cdot2}\)
\(=\frac{456\cdot\left(11+2\right)\cdot37}{\left(13\cdot2\right)\cdot37}\)
\(=\frac{456\cdot13\cdot37}{26\cdot37}=228\)
c) \(\frac{864\cdot48-432\cdot96}{864\cdot48\cdot432}\)
\(=\frac{432\cdot2\cdot48-432\cdot48\cdot2}{432\cdot2\cdot48\cdot432}=0\)
\(71\frac{38}{45}-\left(43\frac{8}{45}-1\frac{17}{57}\right)\)
\(=71\frac{38}{45}-43\frac{8}{45}+1\frac{17}{57}\)
\(=\frac{86}{3}+\frac{74}{57}\)
\(=\frac{1708}{57}\)
Hc tốt #
\(11\frac{3}{13}-\left(2\frac{4}{7}+5\frac{3}{13}\right)\)
\(=11\frac{3}{13}-2\frac{4}{7}-5\frac{3}{13}\)
\(=11+\frac{3}{13}-2-\frac{4}{7}-5-\frac{3}{13}\)
\(=\left(11-2-5\right)+\left(\frac{3}{13}-\frac{3}{13}\right)-\frac{4}{7}\)
\(=4+\frac{4}{7}\)
\(=4\frac{4}{7}\)
hok tốt
\(11\frac{3}{13}-\left(1\frac{4}{7}+5\frac{3}{13}\right)\)
\(=\frac{146}{13}-\left(\frac{11}{7}+\frac{68}{13}\right)\)
\(=\left(\frac{146}{13}-\frac{68}{13}\right)+\frac{11}{7}\)
\(=6+\frac{11}{7}\)
\(=\frac{53}{7}\)
Học tốt #
\(\frac{74\times158+69}{158\times75-89}\)
= \(\frac{74\times158+69}{158\times\left(74+1\right)-89}\)
= \(\frac{74\times158+69}{158\times74+158-89}\)
= \(\frac{74\times158+69}{158\times74+\left(158-89\right)}\)
= \(\frac{74\times158+69}{74\times158+69}\)
= 1