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1. Tính
b, 419,23 + 508,79 - 725,48 = 202,54
_học tốt
A = \(\frac{1}{5\times6}+\frac{3}{6\times9}+\frac{5}{9\times14}+\frac{7}{14\times21}+\frac{9}{21\times30}\)
A = \(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{14}+\frac{1}{14}-\frac{1}{21}+\frac{1}{21}-\frac{1}{30}\)
A = \(1-\frac{1}{30}\)
A = \(\frac{29}{30}\)
14 : ( 4\(\frac{2}{3}\)- 1\(\frac{5}{9}\)) + 14 : ( \(\frac{2}{3}\)+ \(\frac{8}{9}\))
= 14 : ( \(\frac{14}{3}\)- \(\frac{14}{9}\)) + 14 : ( \(\frac{6}{9}\) + \(\frac{8}{9}\))
= 14 : ( 14 - \(\frac{14}{9}\)) + 14 : \(\frac{14}{9}\)
= 14 : \(\frac{112}{9}\)+ 14 : \(\frac{14}{9}\)
= \(\frac{9}{8}\)+ 9
= \(\frac{81}{8}\)
14 : ( 42/ 3 - 15/9 ) + 14 : 2/5 + 8/9
= 14 : ( 42/3 - 5/3 ) + 14 : 2/5 + 8/9
= 14 : 37/3 + 14 : 2/5 + 8/9
= 14 : ( 37/3 + 2/5 ) + 8/9
= 14 : ( 185/15 + 6/15 ) + 8/9
= 14 : 191/15 + 8/9
= 210/15 + 8/9
= 134/9
\(14:\left(4\frac{2}{3}-1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\frac{28}{9}+14:\frac{3}{4}\)
\(=14\times\left(\frac{9}{28}+\frac{4}{3}\right)\)
\(=14\times\frac{27}{112}=\frac{27}{8}\)
\(\frac{14}{15}-\frac{5}{6}=\frac{1}{10}\)
\(\frac{9}{7}-\frac{9}{14}=\frac{9}{14}\)
\(2-\frac{3}{4}=\frac{5}{4}\)
a: =6/7-5/9
=54/63-35/63
=19/63
b: =1000,02-725,48
=274,54