Tính 1/2-1/3x1/4=
K
Khách
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PT
1
CM
24 tháng 10 2019
(1-1/2x1/2)x(1-1/3x1/3)x(1-1/4x1/4)x…x(1-1/2007x1/2007) = ( 1 - 1/4 ) x ( 1 - 1/9 ) x ( 1- 1/16) x .....x ( 1 - 1/4028049) = 3/4 x 8/9 x 15/16 x .....x 4028048 / 4028049 = 3 x 8 x 15 x .....x 4028048 / 4 x 9 x 16 x ......x 4028049 = 1 x 3 x 2 x 4 x 3 x 5 x .....x 2006 x 2008 / 2x2 x 3 x3 x 4 x 4 x .....x 2007 x 2007 = ( 1 x 2 x 3 x .....x 2006) x ( 3 x 4 x 5 x .....x 2008) / ( 2 x 3 x 4 x ....x 2007) x ( 2 x 3 x 4 x ....x 2007) = 2008 / 2007 x 2 = 1004 / 2007
PT
1
CM
3 tháng 3 2017
(1-1/2x1/2)x(1-1/3x1/3)x(1-1/4x1/4)x…x(1-1/2007x1/2007)
= ( 1 - 1/4 ) x ( 1 - 1/9 ) x ( 1- 1/16) x .....x ( 1 - 1/4028049)
= 3/4 x 8/9 x 15/16 x .....x 4028048 / 4028049
= 3 x 8 x 15 x .....x 4028048 / 4 x 9 x 16 x ......x 4028049
= 1 x 3 x 2 x 4 x 3 x 5 x .....x 2006 x 2008 / 2x2 x 3 x3 x 4 x 4 x .....x 2007 x 2007
= ( 1 x 2 x 3 x .....x 2006) x ( 3 x 4 x 5 x .....x 2008) / ( 2 x 3 x 4 x ....x 2007) x ( 2 x 3 x 4 x ....x 2007)
= 2008 / 2007 x 2
= 1004 / 2007
D
1
9 tháng 3 2023
cách tính : bạn tính trong từng ngoặc tròn trc nhé. rồi bạn tính như bth thôi ạ!
= ( 2/15 - 4/9 ) : ( 1/3 + 4/15 )
= -14/45 : 3/5
= -14/27
29 tháng 8 2019
a) 2/9 : 2/3 x 1/2
= 2/9 x 3/2 x 1/2
= 6/18 x 1/2
= 6/36
b) 2 + 1/4 x 4/3
= 2 + 4/7
= 2/1(7) + 4/7
= 14/7 + 4/7
= 18/7
c) 3 x 1/2 x 1/4
= 3/1 x 1/2 x 1/4
= 3/2 x 1/4
= 3/8
#Hok_tốt
8 tháng 3 2017
Tính
a ) 5/2 x 1/3 + 1/4
= 5/5+1/4
=13/12
b)5/2 + 1/3 x 1/4
= 5/2 + 1/12
= 31/12
c ) 5/2 -1/3 :1/4
= 5/2 - 4/3
= 7/6
tk mk nha ( nếu đúng )
hihi mơn nha !!!!!!!!!!
8 tháng 3 2017
a. = (5/2x2/3) +1/4
= 5/3+1/4= 23/12
b. = 5/2+( 1/3x1/4)
= 5/2+1/12
=31/12
c. =5/2-( 1/3:1/4)
= 5/2-4/3
= 7/6
NT
0
30 tháng 10 2016
\(\frac{1}{2}\)- \(\frac{1}{3}\)x \(\frac{1}{4}\)
= \(\frac{1}{2}\)- \(\frac{1}{12}\)
= \(\frac{6}{12}\)- \(\frac{1}{12}\)
= \(\frac{5}{12}\)
tk nhé
LP
4
H9
HT.Phong (9A5)
CTVHS
2 tháng 8 2023
a) \(\dfrac{11}{3}-\dfrac{2}{3}\times\dfrac{5}{6}\)
\(=\dfrac{11}{3}-\dfrac{10}{18}\)
\(=\dfrac{11}{3}-\dfrac{5}{9}\)
\(=\dfrac{33}{9}-\dfrac{5}{9}\)
\(=\dfrac{28}{9}\)
b) \(\dfrac{13}{2}+\dfrac{7}{6}:\dfrac{2}{3}\)
\(=\dfrac{13}{2}+\dfrac{7}{6}\cdot\dfrac{3}{2}\)
\(=\dfrac{13}{2}+\dfrac{7}{4}\)
\(=\dfrac{26}{4}+\dfrac{7}{4}\)
\(=\dfrac{33}{4}\)
c) \(\dfrac{28}{9}-\dfrac{3}{4}+\dfrac{1}{3}\)
\(=\dfrac{28}{9}+\dfrac{3}{9}-\dfrac{3}{4}\)
\(=\dfrac{31}{9}-\dfrac{3}{4}\)
\(=\dfrac{124}{36}-\dfrac{27}{36}\)
\(=\dfrac{97}{36}\)
d) \(\dfrac{5}{8}:\dfrac{2}{3}\times\dfrac{1}{5}\)
\(=\dfrac{5}{8}\times\dfrac{3}{2}\times\dfrac{1}{5}\)
\(=\dfrac{15}{80}\)
\(=\dfrac{3}{16}\)
HQ
Hà Quang Minh
Giáo viên
2 tháng 8 2023
a) \(\dfrac{11}{3}-\dfrac{2}{3}\times\dfrac{5}{6}=\dfrac{11}{3}-\dfrac{5}{9}=\dfrac{28}{9}\)
b) \(\dfrac{13}{2}+\dfrac{7}{6}:\dfrac{2}{3}=\dfrac{13}{2}+\dfrac{7}{6}\times\dfrac{3}{2}=\dfrac{13}{2}+\dfrac{7}{4}=\dfrac{33}{4}\)
c) \(\dfrac{28}{9}-\dfrac{3}{4}+\dfrac{1}{3}=\dfrac{97}{36}\)
d) \(\dfrac{5}{8}:\dfrac{2}{3}\times\dfrac{1}{5}=\dfrac{5}{8}\times\dfrac{3}{2}\times\dfrac{1}{5}=\dfrac{3}{16}\)
\(\frac{1}{2}-\frac{1}{3}\cdot\frac{1}{4}\)
=\(\frac{1}{2}-\frac{1}{3.4}\)
=\(\frac{1}{2}-\frac{1}{12}\)
=\(\frac{6}{12}-\frac{1}{12}\)
=\(\frac{6-1}{12}\)
=\(\frac{5}{12}\)