Tính nhanh 6/5×5/6 - 1/5×7/6×3+3/5 ÷ 6/3
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Tính nhanh: \(\frac{3}{1!+2!+3!}+\frac{4}{2!+3!+4!}+\frac{5}{3!+4!+5!}+\frac{6}{4!+5!+6!}+\frac{7}{5!+6!+7!}+\frac{8}{6!+7!+8!}\)
Đặt P = ... ( biểu thức đề bài )
Nhận xét: Với \(k\inℕ^∗\) ta có:
\(\frac{k+2}{k!+\left(k+1\right)!+\left(k+2\right)!}=\frac{k+2}{k!+\left(k+1\right).k!+\left(k+2\right).k!}=\frac{k+2}{2.k!\left(k+2\right)}=\frac{1}{2.k!}\)
\(\Rightarrow\)\(P=\frac{1}{2.1!}+\frac{1}{2.2!}+...+\frac{1}{2.6!}=\frac{1}{2}\left(1+\frac{1}{2}+...+\frac{1}{720}\right)=...\)
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Tính nhanh
A=2/1×3-4/3×5+6/5×7
B=3/2×4-5/4×6+7/6×8
Tính nhanh nếu có thể
1/3 - (1/4+5/6+7/12)+(-1/6+5/3)
7/23.(-8/3-5/6)
* =1/3 - 5/3 + 3/2
= 1/6
* = 7/23 .( -7/2)
=-49/46
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1+2+3+5+6+7-7-6-5-3-2-1
Tính nhanh
1 + 2 + 3 + 5 + 6 + 7 - 7 - 6 - 5 - 3 - 2 - 1
= ( 1 - 1 ) + ( 2 - 2 ) + ( 3 - 3 ) + ( 5 - 5 ) + ( 6 - 6 ) + ( 7 - 7 )
= 0
nha
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tính nhanh 1/7+2/6+3/5+4/4+5/3+6/2+7/1
= (1/7+7/1)+(2/6+6/2)+(3/5+5/3)+4/4
= 7/1/7+3/1/3+2/4/15+1
= 13/26/35
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Tính nhanh nếu có thể: b)B=5/2 + 6/-11 + 3/8 - 7/2 + 6/8 + -5/11 c)C=4/3 + 3/5 +7/3 + 2/5 - -1/3 d)D=-5/6 . 4/19 + -7/12 . 4/19 - 40/57 e)E=1/3 . 4/5 + 1/-3 . 9/5 + 2/3
b: \(B=\dfrac{5}{2}-\dfrac{7}{2}+\dfrac{3}{8}+\dfrac{6}{8}+\dfrac{-6}{11}-\dfrac{5}{11}=-2-1+\dfrac{9}{8}=\dfrac{9}{8}-3=-\dfrac{15}{8}\)
c: \(C=\left(\dfrac{4}{3}+\dfrac{7}{3}+\dfrac{1}{3}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=4+1=5\)
d: \(D=\dfrac{4}{19}\left(\dfrac{-5}{6}-\dfrac{7}{12}\right)-\dfrac{40}{57}\)
\(=\dfrac{4}{19}\cdot\dfrac{-17}{12}-\dfrac{40}{57}=-1\)
e: \(E=\dfrac{1}{3}\left(\dfrac{4}{5}-\dfrac{9}{5}\right)+\dfrac{2}{3}=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\)
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câu 10 Tính nhanh
a) 3/5 x 6/7 + 3/5 : 7 + 6/5
b) 2018x ( 1/2 + 1212/2424 )
a, \(\dfrac{3}{5}\) \(\times\) \(\dfrac{6}{7}\) + \(\dfrac{3}{5}\) : 7 + \(\dfrac{6}{5}\)
= \(\dfrac{3}{5}\) \(\times\) \(\dfrac{6}{7}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{1}{7}\) + \(\dfrac{6}{5}\)
= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{6}{7}\) + \(\dfrac{1}{7}\)) + \(\dfrac{6}{5}\)
= \(\dfrac{3}{5}\) + \(\dfrac{6}{5}\)
= \(\dfrac{9}{5}\)
b, 2018 \(\times\) ( \(\dfrac{1}{2}\) + \(\dfrac{1212}{2424}\))
= 2018 \(\times\) ( \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\))
= 2018 \(\times\)1
= 2018
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a) 3/5 x 6/7 + 3/5 x 1/7 + 6/5
3/5 x ( 6/7 + 1/7 ) + 6/5
3/5 x 7/7 + 6/5
3/5 x 1 + 6/5
3/5 + 6/5
9/5
b) 2018 x ( 1/2 + 1212/ 2424 )
2018 x ( 1/2 + 12/24 )
2018 x ( 1/2 + 1/2 )
2018 x 2/2
2018 x 1
2018
Học tốt
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tính nhanh
a,(-3/4 + 5/13):2/7-(2/1/2+8/13):2/7
b,-3/5:(-1/15-1/6)+3/5:(-1/3-1/1/15)
c,(3-1/4+2/3)-(5-1/3-6/5)-(6-7/4+3/2)
A) (-3/4 + 5/13):2/7-(2/1/2+8/13):2/7
\(=\)
\(=\)
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B) -3/5:(-1/15-1/6)+3/5:(-1/3-1/1/15)
\(=\)
\(=\)
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Tính 9/5 + 3/4 4/7 x 3/8 6/7 x 2/3 - 2/7 3/5 - 2/9 5/9 ÷ 5/6 4/5 ÷2/5 x 1/4
Nhanh giúp mik nhá
= 51/20
----------------------------------
= 3/14
------------------------------------
= 4/7 - 2/7
= 2/7
--------------------------------------
= 17/45
---------------------------------------
= 2/3
--------------------------------------
= 2 x 1/4
= 1/2
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5/9xx6/15=30/135=2/9
4/7:24/5=4/7xx5/24=5/42
6/11:4=6/11xx1/4=3/22
12xx19/18=12/1xx19/18=38/3
15 : 25/4=15/1xx4/25=12/5
1212/1515:2727/2525=1212/1515xx2525/2727=20/27
14/27 : 7/18 x 6/5+3/10=14/27xx18/7xx6/5+3/10=4/3xx6/5+3/10=8/5+3/10=16/10+3/10=19/10
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