Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
dãy trên sẽ bằng : \(\frac{6}{5}\) x \(\frac{7}{6}\) x \(\frac{8}{7}\) x .......... x \(\frac{2010}{2009}\)
sau đó rút gọn tử phân số này cho mẫu phân số kia , thì ta được : \(\frac{2010}{5}\) = 402
k mình nha
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\times\left(x+1\right):2}=\frac{2011}{2013}\)
\(\Rightarrow\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\times\left(x+1\right)}\times\frac{1}{2}=\frac{2011}{2013}\)
\(\Rightarrow2\times\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{x\times\left(x+1\right)}\right)=\frac{2011}{2013}\)
\(\Rightarrow2\times\left(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+...+\frac{1}{x\times\left(x+1\right)}\right)=\frac{2011}{2013}\)
\(\Rightarrow2\times\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2011}{2013}\)
\(\Rightarrow2\times\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{2011}{2013}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2011}{2013}:2\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2011}{4026}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{2011}{4016}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2013}\)
\(\Rightarrow x+1=2013\)
\(\Rightarrow x=2012\)
Vậy x = 2012
Mình chỉ làm 1 câu thôi nhé
a,
Ta có:
\(\frac{1}{7}+\frac{2}{7x}=\frac{3}{2}\)
\(\Rightarrow\frac{x+2}{7x}=\frac{3}{2}\)
=> 2x+4=21x
=> 4=19x
=> x=4/19
Chắc vậy á :)
\(\frac{1}{7}+\frac{2}{7}:x=\frac{3}{2}\)
\(\Rightarrow\frac{2}{7}:x=\frac{3}{2}-\frac{1}{7}\)
\(\Rightarrow\frac{2}{7}:x=\frac{21}{14}-\frac{2}{14}\)
\(\Rightarrow\frac{2}{7}:x=\frac{19}{14}\)
\(\Rightarrow x=\frac{2}{7}:\frac{19}{14}\)
\(\Rightarrow x=\frac{2}{7}\times\frac{14}{19}\)
\(\Rightarrow x=\frac{4}{19}\)
Vậy \(x=\frac{4}{19}\)
~ Ủng hộ nhé
sorry tui làm sai câu này!!!
2/3 +4/37 +5/111 +260 /1443
=962/1443+156/1443+65/1443+260/1443
= 962+156+65+260/1443=1
tìm x
1)1/2 - ( x+3/14) = 1/6
=> x+3/14=1/2-1/6
=> x= 1/3 - 3/14
=> x= 5/42
2)( x- 1/3 ) -5/2 = 1/7
=> x-1/3= 1/7+5/2
=> x= 37/14+1/3
=> x= 125/42
3)5/8 + ( x- 1/4 ) = 4/3
=>x-1/4=4/3-5/8
=>x= 17/24 +1/4
=> x= 23/24
4) 4/3 - ( 1/4 -x ) =1
=>1/4-x=4/3-1
=>x=1/4-1/3
=> x= -1/12
Chúc bạn Hk tốt!!!
2/3 +4/37 +5/111 +260 /1443\(=\frac{635}{629}\)
Tìm x
1. \(x=\frac{5}{42}\)
2. \(x=\frac{125}{42}\)
3. \(x=\frac{23}{24}\)
4. \(x=-\frac{1}{12}\)
Chúc bạn Hk tốt!!!
2+3/4=11/4 ; 2-3/5=7/5
5/7:6=5/42 ; 5+2/7=37/7
Bài 2: a) x-1/6=1/2+1/3
x-1/6=5/6
x=5/6+1/6
x=1
b) x+1/8=1/2-1/3
x+1/8=1/6
x=1/6-1/8
x=1/24
c) x:1/2=2/3.3/4
x:1/2=1/2
x=1/2.1/2
x =1/4
Bài 3:
= 1- 1/2 + 1/2 -1/3 +...+ 1/98 -1/99
= 1- 1/99
= 98/99
Bài 4:
= 1/2*3 + 1/3*4 + 1/4*5 +...+ 1/10*11
= 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 +...+ 1/10 - 1/11
= 1/2 - 1/11= 9/22
1/ X : 1/7 + 1/7 = 8/9
X : 1/7 = 8/9 -1/7
X : 1/7 = 47/63
X = 47/63 x 1/7
X = 47/441
2/ X : ( 1/7 + 6/7 ) = 8/9
X : 1 = 8/9
X = 8/9 x1
X = 8/9
3/ 1/7 : ( X + 4/7 ) = 13/5
X + 4/7 = 1/7 : 13/5
X + 4/7 = 5/91
X = 5/91 - 4/7
X = -49/91
4/ 3/7 : ( X - 1/9) = 4/5
X - 1/9 = 3/7 : 4/5
X -1/9 = 15/28
X = 15/28 + 1/9
X = 163/252
\(=\frac{6}{5}x\frac{7}{6}x\frac{8}{7}x...x\frac{2009}{2008}x\frac{2010}{2009}=\frac{2010}{5}=402\)