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a) 3/5x7/8:10/9=21/40:10/9=189/400
b) 3 2/7x2 1/4:1 2/5=23/7x9/4:7/5=207/28:7/5=1035/196
c) 6/9+24/15+12/9+6/15=34/15+12/9+6/15=18/5+6/15=4
d) 3 2/9-( 1 5/8+1 2/9 )=29/9-(13/8+11/9)=29/9-205/72=3/8
Ta có:
A = 1 + 3 + 5 + 7 +... + 101
A = \(\frac{102.51}{2}=2601\)
M = 16 - 18 + 20 - 22 + 24 - 26 + .. + 64 - 66 + 68
M = ( 16 - 18 ) + ( 20 - 22 ) + ( 24 - 26 ) + ... + ( 64 - 66 ) + 68
M = (- 2 + - 2 + -2 + ... + - 2 ) + 68
M = 25/2 . ( - 2 ) + 68
M = -25 + 68
M = 43
H = ( 1 + 2 + 3 +...+ 99 ) x ( 13 x 15 - 12 x 15 - 15 )
H = ( 1 + 2 + 3 +...+ 99 ) x { (13 - 12 - 1) x 15 }
H = ( 1 + 2 + 3 +...+ 99 ) x 0
H = 0
G = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + 13 + 14 - ... + 301 + 302
G = ( 1 + 2 ) + ( -3 - 4 ) + ( 5 + 6 ) + ( -7 - 8 ) + ( 9 + 10 ) + ( - 11 - 12 ) + ( 13 + 14 ) -...+ ( 301 + 302 )
G = ( 3 - 7 ) + ( 11 - 15 ) + ( 19 - 23 ) + 27 - ... + 603
G = -4 + - 4 + -4 + 27 - ... + 603
G = 75 x ( -4 ) + 603
G = -300 + 603
G = 303
2.
a) 1 + 2 + 3 + 4 +...+ 99 + 100 + 2 x X = 5052
= > \(\frac{100.101}{2}\)+ 2 x X = 5052
= > 5050 + 2 x X = 5052
= > 2X = 2
= > X = 1
nhiều thế!
1.a /4 giờ 18 phút + 15 giờ 45 phút =20 giờ 3 phút
b/12 giờ 34 giây - 5 phút 47 giây = 6 giờ 47 phút
c/12 giờ 34 phút x 3 =1 ngày 13 giờ 42 phút
d/ 10 phút 48 giây : 9 = 1 giờ 12 phút
`2.a / 14/15 + 3/11 + 1/15 +3/11 +10/22 =3/11+(14/15 + 1/15) + 10/22
= 3/11+ 1 + 10/22
= 4/11 + 10 /22
= 18/22
b/9,25 + 9,25 x 8 + 9,25 = 9,25 x (8 + 2)
= 9,25 x 10
= 92,5
Xong rồi nhé.
a, \(2\frac{5}{12}+x=3\frac{1}{6}\)
=> x = \(3\frac{1}{6}-2\frac{5}{12}\)
x = ( 3 - 2 ) + ( 1/6 - 5/12 )
x = 1 + ( -1/4 ) => x = 3/4
b, 26/35 : x = 2
=> x = 26/35 : 2
=> x = 26/35 . 1/2
=> x = 13/35
c, x -3/5 =11/15
x = 11/15 + 3/5
x= 11/15 + 9/15 => x= 20/15 => x = 4/3
d, \(2\frac{7}{8}.x=1\)
> x = 1 : \(2\frac{7}{8}\) => x = 1: 23/8 => x = 1. 8/23 => x = 8/23
a)
x = 31/6 - 25/12
x = 37/12
b)
x = 26/35 : 2
x = 13/35
c)
x = 11/15 + 3/5
x = 4/3
d)
x = 1 : 27/8
x = 27/8
1.3.77−1+3.7.99−3+7.9.1313−7+9.13.1515−9+\frac{19-13}{13.15.19}+13.15.1919−13
=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}=1.31−3.71+3.71−7.91+7.91−9.131+9.131−13.151+13.151−15.191
=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}=1.31−15.191=28595−2851=28594
b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)b,=61.(1.3.76+3.7.96+7.9.136+9.13.156+13.15.196)
làm giống như trên
c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)c,=81.(1.2.31+2.3.41+3.4.51+...+48.49.501)
=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)=161.(1.2.32+2.3.42+3.4.52+...+48.49.502)
=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)=161.(1.2.33−1+2.3.44−2+3.4.55−3+...+48.49.5050−48)
=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)=161.(1.21−2.31+2.31−3.41+3.41−4.51+...+48.491−49.501)
=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}=161.(21−24501)=161.(24501225−24501)=4900153
d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)d,=75.(1.5.87+5.8.127+8.12.157+...+33.36.407)
=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)=75.(1.5.88−1+5.8.1212−5+8.12.1515−8+...+33.36.4040−33)
=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)=75.(1.51−5.81+5.81−8.121+8.121−12.151+...+33.361−36.401)
=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}=75.(51−14401)=75.(1440288−14401)=28841
P/S: . là nhân nha
A = \(\dfrac{2}{5}\) + \(\dfrac{1}{15}\) + \(\dfrac{3}{10}\)
A = \(\dfrac{12}{30}\) + \(\dfrac{2}{30}\) + \(\dfrac{9}{30}\)
A = \(\dfrac{23}{30}\)
B = \(\dfrac{1}{2}\) - \(\dfrac{1}{8}\) - \(\dfrac{1}{26}\)
B = \(\dfrac{52}{104}\)- \(\dfrac{13}{104}\) - \(\dfrac{4}{104}\)
B = \(\dfrac{35}{104}\)
A.2/5 + 1/15 + 3/10 B. 1/2 - 1/8 - 1/26
= 6/15 + 1/15 +3/10 = 4/8 - 1/8 - 1/26
= 7/15 + 3/10 = 3/8 - 1/26
= 14/30 + 9/30 = 78/208 - 8/208
= 23/30 = 70/208
= 35/104