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30 tháng 1 2023
\(A=\dfrac{19+\dfrac{18}{2}+\dfrac{17}{3}+\dfrac{16}{4}+...+\dfrac{1}{19}}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{20}}\)
Biến đổi tử số
\(19+\dfrac{18}{2}+\dfrac{17}{3}+\dfrac{16}{4}+...+\dfrac{1}{19}\)
= 1 + \(\left(1+\dfrac{18}{2}\right)+\left(1+\dfrac{17}{3}\right)+\left(1+\dfrac{16}{4}\right)+...+\left(1+\dfrac{1}{19}\right)\)
= \(\dfrac{20}{20}+\dfrac{20}{2}+\dfrac{20}{3}+...+\dfrac{1}{19}\)
= 20 x \(\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{19}+\dfrac{1}{20}\right)\)
Vậy \(A=\dfrac{19+\dfrac{18}{2}+\dfrac{17}{3}+\dfrac{16}{4}+...+\dfrac{1}{19}}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{20}}\)
= \(\dfrac{20\times\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{19}+\dfrac{1}{20}\right)}{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{20}}=20\)
Vậy A = 20
S
1
30 tháng 12 2021
em ơi đây là toán nâng cao lớp 5 nhé lớp em chưa làm được đâu nhé
28 tháng 3 2023
19/20x2/100+19/20x2/100
= [19/20+19/20]x2/100
= 38/20x2/100
= 19/500
75/76x102/100-75/76x2/100
= [102/100-2/100]x75/76
= 1x75/76
= 75/76
3x7/10+7/10x5+2x7/10
= [3+5+2]x7/10
= 10x7/10
= 7
giá trị biểu thức
2/5+2/3x3/4
= 2/5+1/6
= 17/30
1/2x1/3-1/8
= 1/6-1/8
= 1/24
[1/2+1/3]:3/9
= 5/6:3/9
= 5/2
nhớ tick cho tớ nhé
TC
8 tháng 5 2022
a)\(=\dfrac{3}{3}+\dfrac{4}{3}=\dfrac{7}{3}\)
b)\(=\dfrac{5}{9}\times\dfrac{3}{2}=\dfrac{15}{18}=\dfrac{5}{6}\)
d)\(=\left(\dfrac{12}{8}-\dfrac{3}{8}\right)\times2=\dfrac{9}{8}\times2=\dfrac{18}{8}=\dfrac{9}{4}\)
c)\(=\dfrac{4}{3}-\dfrac{5}{6}=\dfrac{8}{6}-\dfrac{5}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)
Q
8 tháng 5 2022
a) 1 + 4/3 = 7/3
b) 5/9 : 2/3 = 5/6
c ) 4/3 -1/3 x 5/2
= 1 x 5/2
= 5/2
d) ( 3/2 - 3/8) : 1/2
= 9/8 : 1/2
= 9/4
e) 15/16 : 3/8 x 3/4
= 5/2 x 3/4
= 15/8
f) 7/19 x 1/3 x 7/19 x 2/3
= 7/19 x (1/3 x 2/3)
= 7/19 x 2/9
= 14/171
g) 3/5 x 8/27 x 25/3
= 3/5 x 25/3 x 8/27
= 5 x 8/27
= 40/27
h) 1/5 + 4/11 + 4/5 + 7/11
= (1/5 + 4/5) + (4/11 + 7/11)
= 1 + 1
= 2
TT
5
27 tháng 2 2017
a, 21/11-9/19-3/13-12/38-24/22 =21/11-(9/19-3/13)-12/38-24/22 =207/143-12/38-24/22 =3075/2717-24/22 =111/2717 b,2/3+3/4+4/5+12/9+28/16+48/15 =17/12+4/5+12/9+28/16+48/15 =133/60+12/9+28/16+48/15 =71/20+28/16+48/15 =53/10+48/15 =17/2 c, 4/5-1/2-1/4-1/8-1/16-1/36 =3/10-1/4-1/8-1/36 =1/20-1/8-1/16-1/36 =-3/40-1/16-1/36 =-11/60-1/36=-119/720
23 tháng 7 2020
\(\left(a\right)\frac{3}{5}\cdot\frac{8}{21}\cdot\frac{5}{3}=\left(\frac{3}{5}\cdot\frac{5}{3}\right)\cdot\frac{8}{21}=1\cdot\frac{8}{21}=\frac{8}{21}\)
(b) sai đề
\(\left(c\right)x\cdot\frac{1}{2}=\frac{1}{3}\)
\(x=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}\)
\(\left(d\right)\frac{x}{\frac{4}{5}}=\frac{5}{2}\)
\(x=\frac{5}{2}\cdot\frac{4}{5}=2\)
\(\left(e\right)\frac{\frac{2}{9}}{x}=\frac{2}{3}\)
\(x=\frac{\frac{2}{9}}{\frac{2}{3}}=\frac{1}{3}\)
11 tháng 8 2018
a, \(\frac{2}{3}\).\(\frac{15}{17}\)+\(\frac{2}{3}\).\(\frac{2}{17}\)
= \(\frac{2}{3}\).( \(\frac{15}{17}\)+ \(\frac{2}{17}\))
= \(\frac{2}{3}\). 1
=\(\frac{2}{3}\)
b,\(\frac{20}{19}\):\(\frac{3}{7}\)- \(\frac{1}{19}\): \(\frac{3}{7}\)
= ,\(\frac{20}{19}\).\(\frac{7}{3}\)- \(\frac{1}{19}\).\(\frac{7}{3}\)
= \(\frac{7}{3}\).(\(\frac{20}{19}\)-\(\frac{1}{19}\))
=\(\frac{7}{3}\).1
=\(\frac{7}{3}\)
11 tháng 8 2018
A. \(\frac{2}{3}.\frac{15}{17}+\frac{2}{3}.\frac{2}{17}\)
=\(\frac{2}{3}.\left(\frac{15}{17}+\frac{2}{17}\right)\)
=\(\frac{2}{3}.1\)
=\(\frac{2}{3}\)
B. \(\frac{20}{19}:\frac{3}{7}-\frac{1}{19}:\frac{3}{7}\)
=\(\left(\frac{20}{19}-\frac{1}{19}\right):\frac{3}{7}\)
=1:\(\frac{3}{7}\)
=\(\frac{7}{3}\)
20 tháng 7 2018
a) 19 x 64 + 76 x 34
= 19 x 64 + 19 x 4 x 34
= 19 x ( 64 + 34 x 4 )
= 19 x 200
= 3800
b ) 135 x 12 + 165 x 13
= 135 x 12 + 165 x ( 12 + 1 )
= 135 x 12 + 165 x 12 + 165
= 12 x ( 135 + 165 ) + 165
= 12 x 300 + 165
= 3600 + 165
= 3765
c ) 136 x 68 + 16 x 272
= 136 x 68 + 32 x 136
= 136 x ( 68 + 32 )
= 136 x 100
= 13600
d ) 1 + 2 + 3 + 4 + ...... + 19 + 20
= ( 1 + 20 ) x 20 : 2
= 21 x 10
= 210
e ) 1 + 3 + 5 + ......+ 17 + 19
= 10 : 2 x ( 1 + 19 )
= 5 x 20
= 100
f ) 2 + 4 + 6 + ..... + 18 + 20
= ( 20 + 2 ) x 10 : 2
= 22 x 5
= 110
N
1
\(\dfrac{1}{2}\) + \(\dfrac{3}{19}\) = \(\dfrac{19}{38}\) + \(\dfrac{6}{38}\) = \(\dfrac{25}{38}\)
1/2+3/19=25/38