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![](https://rs.olm.vn/images/avt/0.png?1311)
a)13x3x32,27+67,63x39
=39x32,27+67,63x39
=39x(32,27+67,63)
=39x100
=3900
b,= 1- [ 1/2 x 1/3 x1/4 x..... x 1/100 ]
=1/2 x 2/3 x 3/4 x .......x 99/100
= 1x2x3x......x99 / 2x3x4x...... x100 [ rút gọn ]
= 1/100
![](https://rs.olm.vn/images/avt/0.png?1311)
1)ta có 7 / 15 = 7x8/15x8 = 56/120 , 8/15=8x8 /15x8 = 64/ 120 , x / 40 = X x 3/40 x3 = X x 3 =120( cách làm này đưa về cùng mẫu số nha bạn)
vậy ta có 56/120<X x 3/ 120 <64/120
Dùng phương pháp thử nghiệm thì X x 3 = 60/120
Đáp án x= 6nha ( / chính là __ trong phân số)
đợi chút xem mk làm được câu 2 ko
![](https://rs.olm.vn/images/avt/0.png?1311)
=13/12x14/13x15/14x16/15x...x2006/2005x2007/2006x2008/2007
=2008/12
=502/3
A = 1\(\dfrac{1}{12}\) \(\times\) 1\(\dfrac{1}{13}\) \(\times\) 1\(\dfrac{1}{14}\) \(\times\) 1\(\dfrac{1}{15}\) \(\times\) ... \(\times\) 1\(\dfrac{1}{2005}\) \(\times\) 1\(\dfrac{1}{2006}\) \(\times\) 1\(\dfrac{1}{2007}\)
A = ( 1 + \(\dfrac{1}{12}\)) \(\times\) ( 1 + \(\dfrac{1}{13}\)) \(\times\) ( 1 + \(\dfrac{1}{14}\)) \(\times\)...\(\times\) ( 1 + \(\dfrac{1}{2006}\))\(\times\)(1+\(\dfrac{1}{2007}\))
A = \(\dfrac{13}{12}\) \(\times\) \(\dfrac{14}{13}\) \(\times\) \(\dfrac{15}{14}\) \(\times\) ...\(\times\) \(\dfrac{2007}{2006}\) \(\times\) \(\dfrac{2008}{2007}\)
A = \(\dfrac{13\times14\times15\times...\times2007}{13\times14\times15\times...\times2007}\) \(\times\) \(\dfrac{2008}{12}\)
A = 1 \(\times\) \(\dfrac{502}{3}\)
A = \(\dfrac{502}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
3/4 * x + 1/2 * x -15 = 35
3/4 * x +1/2 * x = 35 + 15
3/4 * x +1/2 * x = 50
x * ( 3/4 + 1/2 ) = 50
x * 5/4 = 50
x = 50 : 5/4
x = 40
phan b mik ko nhap dc nen bn tu lm nha
a, \(\frac{3}{4}\times x+\frac{1}{2}\times x-15=35\)
\(x+x-15=\frac{3}{4}-\frac{1}{2}\)
\(x+x-15=\frac{2}{8}=\frac{1}{4}\)
\(x=35-15\)
\(x=20\)
Vậy \(x=\frac{1}{4}\)và \(x=20\)
b, Chịu
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1\frac{1}{3}:\left(1\frac{2}{3}-x\right)=\frac{8}{7}\)
\(\frac{4}{3}:\left(\frac{5}{3}-x\right)=\frac{8}{7}\)
\(\left(\frac{5}{3}-x\right)=\frac{4}{3}:\frac{8}{7}\)
\(\left(\frac{5}{3}-x\right)=\frac{7}{6}\)
\(x=\frac{5}{3}-\frac{7}{6}\)
\(x=\frac{1}{2}\)
Bài 2:
theo thứ tự tăng dần: \(\frac{75}{100};\)\(4\frac{1}{2};\)\(6,04;\)\(7.\)
\(1\frac{1}{3}:\left(1\frac{2}{3}-x\right)=\frac{8}{7}\Rightarrow\frac{4}{3}:\left(\frac{5}{3}-x\right)=\frac{8}{7}\)
\(\Rightarrow\frac{5}{3}-x=\frac{4}{3}:\frac{8}{7}\Rightarrow\frac{5}{3}-x=\frac{7}{6}\)
\(\Rightarrow x=\frac{5}{3}-\frac{7}{6}\Rightarrow x=\frac{1}{2}\)
Bài 1 :
a) y x 15 + y x 25 + 345 = 2145
y x ( 15 + 25 ) = 2145 - 345 = 1800
y x 40 = 1800
y = 45
b) y x 10 + 4680 = y x 100
y x 100 - y x 10 = 4680
y x ( 100 - 10 ) = 4680
y x 90 = 4680
y = 52
Bài 2 :
a) 725 + 176 - 25 - 76
= ( 725 - 25 ) + ( 176 - 76 )
= 700 + 100
= 800
b) ( 125 x 2 - 250 ) x 45 : ( 25 x 90 )
= ( 250 - 250 ) x 45 : ( 25 x 90 )
= 0 x 45 : ( 25 x 90 )
= 0 : ( 25 x 90 ) = 0
Bài 3 :
Ta có :
\(\dfrac{7}{8}=1-\dfrac{1}{8};\dfrac{17}{18}=1-\dfrac{1}{8};\dfrac{57}{58}=1-\dfrac{1}{58};\dfrac{77}{78}=1-\dfrac{1}{78}\)
Dễ thấy : \(\dfrac{1}{8}>\dfrac{1}{18}>\dfrac{1}{58}>\dfrac{1}{78}\) nên :
\(1-\dfrac{1}{8}< 1-\dfrac{1}{18}< 1-\dfrac{1}{58}< 1-\dfrac{1}{78}\) nên ta sắp xếp được :
\(\dfrac{77}{78};\dfrac{57}{58};\dfrac{17}{18};\dfrac{7}{8}\)
a, y x 15 + y x 25 + 345 = 2145
y x (15 + 25) + 345 = 2145
y x 40 + 345 = 2145
y x 40 = 2145 - 345
y x 40 = 1800
y = 1800 : 40
y = 45
b, y x 10 + 4680 = y x 100
y x 100 - y x 10 = 4680
y x (100 - 10) = 4680
y x 90 = 4680
y = 4680 : 90
y = 52
bài 2
725 + 176 - 25 - 76
= (725 -25) + (176 - 76)
= 700 + 100
= 800
b, (125 x 2 - 250 ) x 45 : (25 x90)
= (250 -250) x45: (25x90)
= 0 x 45 : (25x90)
= 0
bài 3: 77/78 = 1-1/78 > 1-1/58 = 57/58 = 1-1/58 > 1-1/18 =1/18> 7/8
vậy các phân số sắp xếp theo thứ tự giảm dần là:
77/78 ; 57/58; 17/18; 7/8