30 x 700 = ?
80 x 43 + 21 = ?
\(\frac{49}{48}x\frac{64}{63}x\frac{81}{80}x\frac{100}{99}x\frac{121}{120}\)
\(\frac{7}{6}+\frac{13}{12}+\frac{21}{20}+\frac{31}{30}+\frac{43}{42}+\frac{57}{56}\)
a)
\(=\frac{7\cdot7\cdot8\cdot8\cdot9\cdot9\cdot10\cdot10\cdot11\cdot11}{6\cdot8\cdot7\cdot9\cdot8\cdot10\cdot9\cdot11\cdot10\cdot12}\)
\(=\frac{7\cdot11}{6\cdot12}\)
\(=\frac{77}{72}\)
b)
\(=1+\frac{1}{6}+1+\frac{1}{12}+1+\frac{1}{20}+1+\frac{1}{30}+1+\frac{1}{42}+1+\frac{1}{56}\)
\(=6+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}\)
\(=6+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{7}-\frac{1}{8}\)
\(=6+\frac{1}{2}-\frac{1}{8}\)
\(=6+\frac{3}{8}\)
\(=\frac{51}{8}\)
Chia thành...a và b nhé.
Bg
a)Ta có: \(\frac{49}{48}.\frac{64}{63}.\frac{81}{80}.\frac{100}{99}.\frac{121}{120}\)
= \(\frac{49.64.81.100.121}{48.63.80.99.120}\)
= \(\frac{7.7.8.8.9.9.10.10.11.11}{6.8.7.9.8.10.9.11.10.12}\)
= \(\frac{7.11}{6.12}\) (chịt tiêu trên dưới)
= \(\frac{77}{72}\)
b) Ta có: \(\frac{7}{6}+\frac{13}{12}+\frac{21}{20}+\frac{31}{30}+\frac{43}{42}+\frac{57}{56}\)
Có 6 số hạng (đếm)
= \(1+\frac{1}{6}+1+\frac{1}{12}+1+\frac{1}{20}+1+\frac{1}{30}+1+\frac{1}{42}+1+\frac{1}{56}\)
= \(1+1+...+1+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
= \(1.6+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)
= \(6+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
= \(6+\frac{1}{2}-\frac{1}{8}\)
= \(\frac{13}{2}-\frac{1}{8}\)
= \(\frac{51}{8}\)
Hơi dài....
Tính nhanh
a) 43 x 27 + 43 x 13 + 43 x 68
b) 90 x 21 + 15 x10 + 30 x 74
a) 43 x 27 + 43 x 13 + 43 x 68
= 43 x ( 27 + 13 + 68 )
= 43 x 108
= 43 x ( 100 + 8 )
= 43 x 100 + 43 x 8
= 4300 + 344
= 4644
b) 90 x 21 + 15 x 10 + 30 x 74
= 30 x 63 + 30 x 5 + 30 x 74
= 30 x ( 63 + 5 + 74 )
= 30 x 142
= 30 x ( 100 + 42 )
= 30 x 100 + 30 x 42
= 3000 + 1260
= 4260
a, 43x27+43x13+43x68
=43x(27+13+68)
=43x108
= 4644
b, 90x21+15x10+30x74
=9x10x21+15x10+3x10x74
=10x189+10x15+10x222
=10x(189+222+15)
=10x426
= 4260
Giải
a)43x27+43x13+43x68
=43(27+13+68)
=43x108
=43x100+43x8
=4300+344
=4644
b)90x21+15x10+30x74
=30x63+30x5+30x74
=30(63+5+74)
=30.142
=4260
1.Tìm x, biết: x+13/12+21/20+31/30+43/42+57/56+73/72+91/90=277/30
x+1/3*5+1/5*7+...+1/19*21=30/43
Tìm x biết:a) 29-x/21 + 27-x/23 + 25-x/25 + 23-x/27 + 21-x/29
b)x-10/30 + x-14/43 + x-5/95 + x-148/8 = 0
a, bổ sung đề
\(\dfrac{29-x}{21}+1+\dfrac{27-x}{23}+1+\dfrac{25-x}{25}+1+\dfrac{23-x}{27}+1+\dfrac{21-x}{29}+1=0\)
\(\Leftrightarrow\dfrac{50-x}{21}+\dfrac{50-x}{23}+\dfrac{50-x}{25}+\dfrac{50-x}{27}+\dfrac{50-x}{29}=0\)
\(\Leftrightarrow\left(50-x\right)\left(\dfrac{1}{21}+\dfrac{1}{23}+\dfrac{1}{25}+\dfrac{1}{27}+\dfrac{1}{29}\ne0\right)=0\Leftrightarrow x=50\)
X : ( - 21 ) =16
X : 12 = -43
( X + 30 ).( X + 3 ) =0
(12 - X ).(X + 3)=0
Giúp mik nhé thanks
a) X chia hết 21 (40<x lớn hơn hoặc bằng 80)
b)X thuộc Ư (30) và X >8
Tính nhanh
a) 43 x 64 + 43 x 36
b) 26 +27 + 28 + 29 +..... 33
c) 135 + 36 + 65 + 40
d) 463 + 318 + 137 + 22
đ) 20 + 21 +...+30
Tính nhanh
a) 43 x 64 + 43 x 36
= 43 x (64 + 36)
= 43 x 100
= 4300
b) 26 + 27 + 28 + 29 + ... + 33 ( Có 8 số hạng )
= (33 + 26) x 8 : 2 = 236
c) 135 + 36 + 65 + 40
= (135 + 65) + (36 + 40)
= 200 + 76
= 276
d) 463 + 318 + 137 + 22
= (463 + 137) + ( 318 + 22 )
= 600 + 340
= 940
đ ) 20 + 21 + ... + 30 ( có 11 số hạng )
= ( 30 + 20 ) x 11 : 2 = 275
Tìm x:
2x+7/6+13/12+21/20+31/30+43/42+57/56+73/72+91/90=10
\(2x+1+\frac{1}{6}+1+\frac{1}{12}+..+1+\frac{1}{90}=10\)
=> 2x + 8 + \(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}=10\)
=> 2x + \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}=10-8\)
\(2x+1-\frac{1}{10}=2\)
=> 2x + \(\frac{9}{10}=2\)
=> 2x = 2 - 9/10
=>2x = 11/10
=> x = 11/10 : 2
x = 11/20
thang Tran ơi,2x+1-1/10 ở đâu vậy
Phải là 2x+1/2-1/10 chứ
mk giải cho nè nhớ tích nha
2x+7/6+13/12+21/20+31/30+43/42+57/56+73/72+91/90=10
2x+(1/6+1)+(1/12+1)+(1/20+1)+(1/30+1)+(1/42+1)+(1/56+1)+(1/72+1)+(1/90+1)=10
2x+(1+1+1+1+1+1+1+1)+(1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)=10
2x+8+(1/2+3+1/3+4+1/4+5+1/5+6+1/6+7+1/7+8+1/8+9+1/9+10)=10
2x+8+(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)=10
2x+8+(1/2-1/10)=10
2x+8+2/5=10
2x=10-8-2/5
2x=1,6
x=1,6:2
x=0,8
Mk thấy đề bài hơi dư nên x mk tìm ra là số thập phân còn đổi lại ra phân số là 4/5