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a) \(...=-\dfrac{12}{46}-\dfrac{15}{21}+\dfrac{3}{7}-\dfrac{7}{23}\)
\(=-\dfrac{12}{46}-\dfrac{7}{23}-\dfrac{15}{21}+\dfrac{3}{7}\)
\(=-\dfrac{6}{23}-\dfrac{7}{23}-\dfrac{5}{7}+\dfrac{3}{7}\)
\(=-\dfrac{13}{23}-\dfrac{2}{7}\)
\(=-\dfrac{13.7}{23.7}-\dfrac{2.23}{23.7}\)
\(=-\dfrac{91}{161}-\dfrac{46}{161}=-\dfrac{137}{161}\)
b) \(...=-21+\dfrac{7}{9}-\dfrac{3}{17}+\dfrac{25}{9}\)
\(=-21-\dfrac{3}{17}+\dfrac{7}{9}+\dfrac{25}{9}\)
\(=-21-\dfrac{3}{17}+\dfrac{32}{9}\)
\(=-\dfrac{3213}{153}-\dfrac{27}{153}+\dfrac{544}{153}=-\dfrac{2696}{153}\)
\(3\cdot15\cdot4+12\cdot19+6\cdot66\cdot2\)
\(=\left(3\cdot4\right)\cdot15+12\cdot19+\left(6\cdot2\right)\cdot66\)
\(=12\cdot15+12\cdot19+12\cdot66\)
\(=12\cdot\left(15+19+66\right)\)
\(=12\cdot100\)
\(=1200\)
\(3.15.4+1.19+6.66.2\)
= ( 3. 4 ) . 15 + 12 .19 - (6.2) . 66
= 12 . 15 + 12 . 19 + 12 . 66
= 12.(15 + 19 + 66)
= 2 . 100
= 1200
1+2-3-4+5+6-7-8+...+111-112+113+114+115
=1+(2-3-4+5)+(6-7-8+9)+....................................+(110-111-112+113)+114+115
=230
1/10 + 1/20 + 3/30 + 4/40 + 5/50 + 6/60 + 7/70 + 8/80 + 9/90 ( có 9 phân số )
= 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 ( có 9 phân số 1/10 )
= 1/10 x 9
= 9/10
A=\(\frac{3}{9.6}+\frac{5}{2.7.9}+\frac{7}{6.7.7}+\frac{8}{3.7.29}\) = \(\frac{1}{18}+\frac{5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)
= \(\frac{7+5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)=\(\frac{2}{7.3}+\frac{1}{6.7}+\frac{8}{3.7.29}\)= \(\frac{1}{3.7}.\)(\(\frac{2}{1}+\frac{1}{2}+\frac{8}{29}\))=
=\(\frac{1}{21}.\)(\(\frac{116+29+16}{58}\))=\(\frac{1}{21}.\frac{161}{58}=\frac{161}{1218}\)
(55+45+15)-(15-55+45)
=55+45+15-15+55-45
=(15-15)+(45-45)+(55+55)
=110
\(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}=\frac{1}{2}\cdot\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)=\frac{1}{2}\cdot\frac{25}{12}=\frac{25}{24}\)
mấy bạn ơi cách của mấy bạn chưa có thuận tiện đâu theo mình là phải đặt 1/2 làm thừa số chung chứ
quy đồng mẫu số : 3/8 = 9/24 1/6=4/24
15/24 -9/24-4/24=2/24
\(\frac{15}{24}\)- \(\frac{3}{8}\)-\(\frac{1}{6}\)=\(\frac{15}{24}\)-\(\frac{9}{24}\)-\(\frac{4}{24}\)
= \(\frac{15-9-4}{24}\)= \(\frac{2}{24}\)=\(\frac{1}{12}\)