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A = \(\dfrac{1}{1+2}\) + \(\dfrac{1}{1+2+3}\) +...+ \(\dfrac{1}{1+2+3+...+9}\)
A = \(\dfrac{1}{\left(2+1\right)\times2:2}\)+ \(\dfrac{1}{\left(1+3\right)\times3:2}\)+...+ \(\dfrac{1}{\left(1+9\right)\times9:2}\)
A = \(\dfrac{2}{2\times\left(1+2\right)}\)+ \(\dfrac{2}{3\times\left(1+4\right)}\)+...+ \(\dfrac{2}{9\times\left(1+9\right)}\)
A = \(\dfrac{2}{2\times3}\) + \(\dfrac{2}{3\times4}\)+....+ \(\dfrac{2}{9\times10}\)
A = 2 \(\times\)( \(\dfrac{1}{2\times3}\) + \(\dfrac{1}{3\times4}\)+...+ \(\dfrac{1}{9\times10}\))
A = 2 \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\)+...+ \(\dfrac{1}{9}\) - \(\dfrac{1}{10}\))
A = 2 \(\times\)( \(\dfrac{1}{2}\) - \(\dfrac{1}{10}\))
A = 2 \(\times\) \(\dfrac{2}{5}\)
A = \(\dfrac{4}{5}\)
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\(1\dfrac{1}{6}+1\dfrac{1}{4}=\dfrac{7}{6}+\dfrac{5}{4}=\dfrac{14}{12}+\dfrac{15}{12}=\dfrac{14+15}{12}=\dfrac{19}{12}=1\dfrac{7}{12}\)\(2\dfrac{2}{3}\div1\dfrac{3}{19}=\dfrac{8}{3}\div\dfrac{22}{19}=\dfrac{8}{3}\times\dfrac{19}{22}=\dfrac{8\times19}{3\times22}=\dfrac{76}{33}\)
tìm x:
a)x=5/8-1/4
x=5/8-2/8
x=3/8
b)x=1/10+3/5
x=1/10+3/10
x=4//10
c) x = 7/8 - 1/4
x = 5/8
d)x=1/4x3/2
x=3/8
đ) X = 6/11 : 2/7
X =6/11x7/2
X= 21/11
e)X=4/5:2/3
X=4/5x3/2
X=12/10=6/5
tính
a) 7/9 x 5/6=35/54
b) 1/5 : 7/10=1/5x10/7
=10/35=2/7
c) 6/5 x ( 2/3 - 3/5 )=6/5x(9/15-10/15)
=6/5x3/5
=18/25
d) 1/4 : 3/8 x 6/5=1/4x8/3x6/5
=2/3x6/5
=12/15=4/5
không biết có đúng không nhưng đúng nhớ tick cho mình nha,mình cảm ơnn
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 4:
Mỗi ki-lô-gam gạo có giá tiền là:
45 000 : 5 = 9 000 (đồng)
Số tiền mua gạo bạn An phải trả là:
9000 x 20 = 180 000 (đồng)
Số ki-lô-gam gạo bạn Bình mua là:
20 + 5 = 25 (kg)
Số tiền mua gạo bạn Bình cần trả là:
9 000 x 25 = 225 000 (đồng)
Đáp số:...
Bài 3 :
\(3\left(đôi.gà\right)=3x2=6\left(con\right)\)
Số phân số số đàn gà tuần này là :
\(1-\dfrac{2}{3}=\dfrac{1}{3}\left(đàn.gà\right)\)
Số phân số số đàn gà còn lại là :
\(1-\dfrac{2}{3}-\dfrac{3}{4}x\dfrac{1}{3}=1-\dfrac{2}{3}-\dfrac{1}{4}=\dfrac{1}{12}\left(đàn.gà\right)\)
Đàn gà có tất cả là :
\(6:\dfrac{1}{12}=6x12=72\left(con\right)\)
Đáp số...
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a)\) \(S=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{2187}\)
\(S=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\)
\(3S=3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\)
\(3S-S=\left(3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\right)-\left(1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\right)\)
\(2S=3+\frac{1}{3^7}\)
\(2S=\frac{3^8+1}{3^7}\)
\(S=\frac{3^8+1}{3^7}.\frac{1}{2}\)
\(S=\frac{3^8+1}{2.3^7}\)
Vậy \(S=\frac{3^8+1}{2.3^7}\)
Chúc bạn học tốt ~
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a,a+1/4=2 3/4-1 1/2
a+1/2=5/4
a=5/4-1/2
a=3/4
b,a-7/4=13/4-7/9
a-7/4=89/36
a= 89/36+7/4
a=152/36
c,3/2-a=17/6-1/6
3/2-a=8/3
a= 3/2-8/3
a= -7/6
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a)\(\frac{4}{3.7}+\frac{4}{7.11}+...+\frac{4}{23.27}=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{23}-\frac{1}{27}=\frac{1}{3}-\frac{1}{27}=\frac{8}{27}\)
b)\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{6.7}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{6}-\frac{1}{7}=\frac{1}{2}-\frac{1}{7}=\frac{5}{14}\)
c)\(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{11.13}+\frac{2}{1.2}+\frac{2}{2.3}+...+\frac{2}{9.10}=\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{11}-\frac{1}{13}\right)+2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=\frac{1}{3}-\frac{1}{13}+2\left(1-\frac{1}{10}\right)=\frac{10}{39}+\frac{9}{5}=\frac{401}{195}\)
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a) = 29/15
b) = 7/15
c) = 1
d) = 3
e) = 67/17
f) = 2
mk nhanh nhất tk cho mk nha
a/\(\frac{3}{5}+\frac{4}{3}=\frac{9}{15}+\frac{20}{15}=\frac{29}{15}\)
b/\(\frac{2}{3}-\frac{1}{5}=\frac{10}{15}-\frac{3}{15}=\frac{7}{15}\)
c/\(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}=\frac{3}{6}+\frac{2}{6}+\frac{1}{6}=\frac{7}{6}\)
d,\(\frac{3}{5}+\frac{4}{7}+\frac{7}{5}+\frac{3}{7}=\left(\frac{3}{5}+\frac{7}{5}\right)+\left(\frac{4}{7}+\frac{3}{7}\right)=2+1=3\)
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a) \(2+\dfrac{3}{4}\)
\(=\dfrac{8}{4}+\dfrac{3}{4}\)
\(=\dfrac{8+3}{4}\)
\(=\dfrac{11}{4}\)
b) \(\dfrac{1}{3}+\dfrac{3}{2}-\dfrac{7}{4}\)
\(=\dfrac{4}{12}+\dfrac{18}{12}-\dfrac{21}{12}\)
\(=\dfrac{4+18-21}{12}\)
\(=\dfrac{1}{12}\)
c) \(\dfrac{1}{6}+\dfrac{3}{8}-\dfrac{1}{4}\)
\(=\dfrac{4}{24}+\dfrac{9}{24}-\dfrac{6}{24}\)
\(=\dfrac{4+9-6}{24}\)
\(=\dfrac{7}{24}\)
d) \(\dfrac{5}{12}+\dfrac{3}{8}\times\dfrac{4}{9}\)
\(=\dfrac{5}{12}+\dfrac{3\times4}{8\times9}\)
\(=\dfrac{5}{12}+\dfrac{1}{6}\)
\(=\dfrac{5}{12}+\dfrac{2}{12}\)
\(=\dfrac{7}{12}\)
e) \(\dfrac{4}{5}-\dfrac{1}{5}\times\dfrac{7}{2}\)
\(=\dfrac{4}{5}-\dfrac{1\times7}{5\times2}\)
\(=\dfrac{4}{5}-\dfrac{7}{10}\)
\(=\dfrac{8}{10}-\dfrac{7}{10}\)
\(=\dfrac{8-7}{10}\)
\(=\dfrac{1}{10}\)
f) \(\dfrac{16}{9}-\dfrac{4}{15}:\dfrac{2}{5}\)
\(=\dfrac{16}{9}-\dfrac{4}{15}\times\dfrac{5}{2}\)
\(=\dfrac{16}{9}-\dfrac{4\times5}{15\times2}\)
\(=\dfrac{16}{9}-\dfrac{2}{3}\)
\(=\dfrac{16}{9}-\dfrac{6}{9}\)
\(=\dfrac{16-6}{9}\)
\(=\dfrac{10}{9}\)
a: =8/4+3/4=11/4
b: =4/12+18/12-21/12=1/12
c: =4/24+9/24-6/24=7/24
d: =5/12+12/72
=5/12+1/6
=5/12+2/12=7/12
e: =4/5-7/10
=8/10-7/10=1/10
f: =16/9-4/15*5/2
=16/9-20/30
=16/9-2/3
=16/9-6/9=10/9
A= 1+ \(\dfrac{1}{2}\) (1+2) + \(\dfrac{1}{3}\) (1+2+3)+.....+
\(\dfrac{1}{9}\) (1+2+3+....+9)
=1+ \(\dfrac{1}{2}\) ×2×3 + \(\dfrac{1}{3}\) × \(\dfrac{3×4}{2}\)+.....+
\(\dfrac{1}{9}\) × \(\dfrac{9×10}{2}\)
= 1+\(\dfrac{3}{2}\) + \(\dfrac{4}{2}\)+....+
\(\dfrac{10}{2}\)
=\(\dfrac{2}{2}\) + \(\dfrac{3}{2}\) + \(\dfrac{4}{2}\) +......+
\(\dfrac{10}{2}\)
=\(\dfrac{2+3+4+...10}{2}\)
=\(\dfrac{12×10}{2}{2}\)
= \(\dfrac{12×10}{4}\)
= 12×5 = tự nhân ra
Vậy A bằng ở trên .
Nhớ tích mình nhé:)