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a) ( 1/2-1/3-1/6).(1/2+2/3+3/4+...+2017/2018) + 3/4.x = 9/10
0.(1/2+2/3+3/4+...+2017/2018) + 3/4.x = 9/10
0+3/4.x = 9/10
3/4.x = 9/10
x = 9/10: 3/4
x = 6/5
b) x + ( 3/1.3+3/3.5+...+3/13.15) = 11/5
x + 3/2. ( 1-1/3 + 1/3 - 1/5 + ...+ 1/13 - 1/15) = 11/5
x + 3/2. ( 1-1/15) = 11/5
x + 3/2.14/15 = 11/5
x + 7/5 = 11/5
x = 11/5 - 7/5
x = 4/5
a,[(4x+28):3+55]:5=35
(4x+28):3+55=175
(4x+28):3=120
4x+28=360
4x=332
x=83
a) [( 4x + 28 ) : 3 + 55] : 5 = 35
( 4x + 28 ) : 3 + 55 = 175
( 4x + 28 ) : 3 = 120
4x + 28 = 360
4x = 332
x = 83
b) \(\left(\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{19\cdot21}\right)\cdot x=\frac{9}{7}\)
\(\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\cdot x=\frac{9}{7}\)
\(\left(\frac{1}{3}-\frac{1}{21}\right)\cdot x=\frac{9}{7}\)
\(\frac{2}{7}\cdot x=\frac{9}{7}\)
\(x=\frac{9}{2}\)
a) 0.1+0.5+0.9+1.3+...+9.7+10.1
=(10.1+0.1)+...+(4.9+5.3)
=10.2+...+10.2
=10.2x13
=132.6
b) 2.5x4+20-5x2.5+7.5
=2.5x4+2.5x8-5x2.5+2.5x3
=2.5(4+8-5+3)
=2.5x10
=25
a) dãy số trên có 26 số hạng
tổng mỗi cặp số đầu và số cuối là 10.1+0.1 = 10.2
vậy tổng dãy trên là 10.2 x 26 : 2 = 81,6
b) 2.5 x 4 + 20 - 5 x 2,5 + 7,5
10 + 20 - 12,5 + 7,5
30 - 5
25
Bài 1:
a; (\(\dfrac{1}{4}\)\(x\) - \(\dfrac{1}{8}\)) x \(\dfrac{3}{4}\) = \(\dfrac{1}{4}\)
\(\dfrac{1}{4}x\) - \(\dfrac{1}{8}\) = \(\dfrac{1}{4}\) : \(\dfrac{3}{4}\)
\(\dfrac{1}{4}\)\(x\) - \(\dfrac{1}{8}\) = \(\dfrac{1}{4}\) x \(\dfrac{4}{3}\)
\(\dfrac{1}{4}x\) - \(\dfrac{1}{8}\) = \(\dfrac{1}{3}\)
\(\dfrac{1}{4}x\) = \(\dfrac{1}{3}\) + \(\dfrac{1}{8}\)
\(\dfrac{1}{4}\) \(x\)= \(\dfrac{8}{24}\) + \(\dfrac{11}{24}\)
\(\dfrac{1}{4}x=\dfrac{11}{24}\)
\(x=\dfrac{11}{24}:\dfrac{1}{4}\)
\(x=\dfrac{11}{24}\times4\)
\(x=\dfrac{11}{6}\)
b; \(\dfrac{12}{5}:x\) = \(\dfrac{14}{3}\) x \(\dfrac{4}{7}\)
\(\dfrac{12}{5}\) : \(x\) = \(\dfrac{8}{3}\)
\(x\) = \(\dfrac{12}{5}\) : \(\dfrac{8}{3}\)
\(x\) = \(\dfrac{12}{5}\) x \(\dfrac{3}{8}\)
\(x\) = \(\dfrac{9}{10}\)
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