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a) \(\frac{x}{4}=\frac{21}{28}\Rightarrow\frac{x}{4}=\frac{3}{4}\Rightarrow x=3\)
Vậy x = 3
b) \(\frac{2x}{5}=\frac{-24}{10}\Rightarrow\frac{2x}{5}=\frac{-12}{5}\Rightarrow2x=-12\Rightarrow x=-6\)
Vậy x = -6
\(a)\frac{x}{4}=\frac{21}{28}\)
\(\Rightarrow x\cdot28=4\cdot21\)
\(\Rightarrow x\cdot28=84\)
\(\Rightarrow x=3\)
\(b)\frac{2x}{5}=\frac{-24}{10}\)
Rút gọn : \(\frac{2x}{5}=\frac{-12}{5}\)
\(\Rightarrow2x=-12\)
\(\Rightarrow x=(-12)\div2=-6\)

\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
= \(\frac{1.5.6.\left(1.1.1+2.2.2+4.4.4+9.9.9\right)}{1.3.5.\left(1.1.1+2.2.2+4.4.4+9.9.9\right)}\)
= \(\frac{1.5.6}{1.3.5}\)
= 2
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(=\frac{1.3.5.2+2.6.10.2+4.12.20+9.45.27.2}{1.3.5+2.6.10+4.12.20+9.45.27}\)
\(=\frac{\left(1.3.5+2.6.10+4.12.20+9.45.27\right).2}{1.3.5+2.6.10+4.12.20+9.45.27}\)
\(=2\)

\(\frac{2}{3}+\frac{2}{6}+\frac{2}{12}+\frac{2}{24}+\frac{2}{48}\)+\(\frac{2}{96}\)
=\(2\)x (\(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\frac{1}{48}\)\(+\frac{1}{96}\))
=\(2\)x (\(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+...\)\(+\frac{1}{48}-\frac{1}{96}\))
=\(2\)x (\(1-\frac{1}{96}\))
=\(2\)x \(\frac{95}{96}\)
=\(\frac{190}{96}=\frac{95}{48}\)

F=14/8.24/18.36/30....10706/10700
7.2.8.3.9.4.10.5...106.101
= _________________________
8.1.9.2.10.3.11.4...107.100
(2.3.4.5...101).(7.8.9.10...106)
=______________________________
(8.9.10.11...107).(2.3.4.5...100)
101.7.
=_______=1
107
Chính xác 100% luôn nha!
Chuk học tốt!
=\(\frac{14\times24\times36\times..........\times10706}{8\times18\times32\times..........\times10700}\)
=\(\frac{2\times7\times3\times8\times.............\times101\times106}{1\times8\times2\times9\times...........\times100\times107}\)
=\(\frac{\left(2\times3\times...........\times101\right)\times\left(7\times8\times...........\times106\right)}{\left(1\times2\times........\times100\right)\times\left(8\times9\times............\times107\right)}\)
=707/107

a)\(\frac{12}{24}=\frac{1}{2}\)
b)\(-\frac{24}{45}=-\frac{4}{9}\)
Nhìu quá bn nhấn máy tính nhé!!!

B = 2 - 4 - 6 + 8 + 10 - 12 -14 + 16 + ...+ 2010 - 2012 - 2014 + 2016
= (2 - 4 - 6 + 8 ) + ( 10 - 12 -14 +16 ) + ...+ ( 2010 - 2012 - 2014 + 2016 )
= 0 + 0 +...+ 0 + 0 (có 252 số hạng 0)
= 0
Ta có: Từ 2 đến 2016 có \(\frac{2016-2}{2}+1=1008\)
B=(2-4)-(6-8)+(10-12)-(14-16)+...+(2010-2012)-(2014-2016) như vậy có 1008:2=504 nhóm
=-2+2-2+2+...-2+2 có 504 số hạng trong đó có: 525 số -2 và 525 số +2
=0

Ta có :
\(\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)
\(=A.\left(\frac{4}{24}-\frac{3}{24}-\frac{1}{24}\right)\)
\(=A.0\)
\(=0\)
Chúc bạn học tốt !!!!
\(=\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right)\cdot0=0\)
rút gọn thì còn:
\(\frac{179}{176}\)
\(\frac{24.179-24}{24.176+24}\)
\(=\frac{24.\left(179-1\right)}{24.\left(176+1\right)}\)
\(=\frac{24.178}{24.177}=\frac{178}{177}\)