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X:12=132(dư 7)
X=132x12+17
x=1591
Vậy x=1591
2897:X=25(dư 4)
25xX+4=2879
25xX=2879-4
25xX=2875
X=2875:25
X=115
Vậy X=115
368:X=24(dư 8)
24xX+8=368
24xX=368-8
24xX=360
X=360:24
X=15
Vậy X=15
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
a) 4,7 x 5,5 - 4,7 x 4,5=4,7 x (5,5 - 4,5) = 4,7 x1 = 4,7
b) 7,8 x 0,35 + 0,35 x 2,2 = 0,35 x (7,8 + 2,2) = 0,35 x 10 = 3,5
a) 4,7 x 5,5 - 4,7 x 4,5
= 4,7 x (5,5 - 4,5)
= 4,7 x 1
= 4,7
b) 7,8 x 0,35 + 0,35 x 2,2
= 0,35 x (7,8 + 2,2)
= 0,35 x 10
= 3,5
#)Giải :
Câu 1 :
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\left(x+1\right):2}=\frac{2009}{2011}\)
\(=\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\left(x+1\right)}=2\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{x\left(x+1\right)}\right)\)
\(=2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x\left(x+1\right)}\right)=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{x+1}\right)=1-\frac{2}{x+1}=\frac{2009}{2011}\Rightarrow x=2010\)