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(15/4.4-12/5.5/4)-(7/2:5/2-1/5)-1/5.x=51/5
(15-3)-(7/5-1/5)-1/5.x=51/5
12-6/5-1/5.x=51/5
54/5-1/5.x=51/5
1/5x=54/5-51/5
1/5x=3/5
x=3
a,
x.2/7.3/4=5/21
x.3/14=5/21
x=5/21:3/14
x=10/9
b,
x.1/2=1/3
x=1/3:1/2
x=2/3
c,
x:4/5=25/8:5/4
x:4/5=5/2
x=5/2.4/5=2
A, x= 5/25 : 3/4 : 2/7 = 14/15
B, x=1/3 : 1/2 = 2/3
C, x=(25/8 : 5/4)x4/5 = 5/2 x 4/5 = 2
2/
a) \(\frac{4}{1\cdot5}+\frac{4}{5\cdot9}+\frac{4}{9\cdot13}+\frac{4}{13\cdot17}+\frac{4}{17\cdot21}\)
\(=\left(1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+....+\frac{1}{17}-\frac{1}{21}\right)\)
\(=1-\frac{1}{21}=\frac{20}{21}\)
b) \(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot...\cdot\left(1-\frac{1}{2017}\right)\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot..\cdot\frac{2016}{2017}\)
\(=\frac{1}{2017}\)
c) \(A=2000-5-5-5-..-5\)(có 200 số 5)
\(A=2000-\left(5\cdot200\right)\)
\(A=2000-1000\)
\(A=1000\)
\(\frac{4}{5}+\frac{1}{5}\div x=\frac{1}{2}\)
\(\frac{1}{5}\div x=\frac{1}{2}-\frac{4}{5}\)
\(\frac{1}{5}\div x=\frac{5}{10}-\frac{8}{10}\)
\(\frac{1}{5}\div x=-\frac{3}{10}\)
\(x=\frac{1}{5}\div\left(-\frac{3}{10}\right)\)
\(x=\frac{1}{5}\times\left(-\frac{10}{3}\right)\)
\(x=-\frac{10}{15}=-\frac{2}{3}\)
\(\frac{4}{5}+\frac{1}{5}:x=\frac{1}{2}\)
=>\(\frac{1}{5}:x=\frac{1}{2}-\frac{4}{5}\)
=>\(\frac{1}{5}:x=-\frac{3}{10}\)
=>\(x=\frac{1}{5}:-\frac{3}{10}\)
=>\(x=-\frac{2}{3}\)