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a: \(A=\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2+\left(\dfrac{1}{2}\right)^3+...+\left(\dfrac{1}{2}\right)^7\)
=>\(2\cdot A=1+\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2+...+\left(\dfrac{1}{2}\right)^6\)
=>\(2A-A=1-\left(\dfrac{1}{2}\right)^7=1-\dfrac{1}{128}=\dfrac{127}{128}\)
=>\(A=\dfrac{127}{128}\)
b: \(B=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{10\cdot11}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{10}-\dfrac{1}{11}\)
\(=1-\dfrac{1}{11}=\dfrac{10}{11}\)
bài 4:so sánh
5/2 lớn hơn 3/7
4/3 lớn hơn,3/2 lớn hơn
bài 6:rút gọn các phân số sau:
3/9=1/3 9/12=3/4 8/18=4/9 60/36=10/6 17/34=1/2 17/51=1/3 35/100=7/20 25/100=1/4 8/1000=1/125 24/30=4/5 18/54=1/3 72/42=12/7
đay nhé mk chưa làm hết đc bn viết liền quá mk nhìn khó mà mk hỏi bài 7 là nhân hay cộng vậy?
Câu 1)
1/5*x=4/6
x=4/6/1/5
x=10/3
Câu 3)x/6*5/8=5/12
x/6=5/12/5/8
x/6=2/3
x/6=4/6
Vây x=4
Câu 3)
5/9/3/x=5/27
3/x=5/9/5/27
3/x=3
Vây x=1
\(\frac{2}{9}\)Và \(\frac{1}{6}\)
\(\frac{2}{9}=\frac{2\times2}{9\times2}=\frac{4}{18}\)
\(\frac{1}{6}=\frac{1\times3}{6\times3}=\frac{3}{18}\)
\(\frac{7}{6}\)Và \(\frac{3}{8}\)
\(\frac{7}{6}=\frac{7\times4}{6\times4}=\frac{28}{24}\)
\(\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}\)
\(\frac{1}{12}\)Và \(\frac{1}{9}\)
\(\frac{1}{12}=\frac{1\times3}{12\times3}=\frac{3}{36}\)
\(\frac{1}{9}=\frac{1\times4}{9\times4}=\frac{4}{36}\)
a) 2/5 x 1/6 x 1/9 =1/5x1/9=1/45
b) 2/5 x 1/6 : 1/9 = 1/5x9=9/5
c)2/5 : 1/6 x 1/9 =2/5x6x1/9=12/5x1/9=12/45
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times2\times3}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{1}{3}\times\frac{4}{1}\)
\(=\frac{1}{2}+\frac{1\times4}{3\times1}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
Theo ý e bảo chỉ làm 3 dòng thôi nên a rút gọn phép tính lại:
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
a) 1/2x(3/4+2/5)
1/2x23/20
23/40
b) 3/4:(8/9+16/3)
3/4:56/9
27/224
c) 1/5:1/10-1/3
2-1/3
5/3
d) 3/4x(20/9-8/15)
3/4x76/45
19/15
e) 1/7:5/14-3/2
=2/5-3/2
-11/10 ( Chị nghĩ lớp 4 chưa học đến số âm nên em xem lại đề nhé)
g) 3/2x(11/6-5/12)
3/2x17/12
17/8
a)\(\frac{1}{2}x\left(\frac{3}{4}+\frac{2}{5}\right)\)
\(=\frac{1}{2}x\left(\frac{15}{20}+\frac{8}{20}\right)\)
\(=\frac{1}{2}x\frac{23}{20}\)
\(=\frac{23}{40}\)
b)\(\frac{3}{4}:\left(\frac{8}{9}+\frac{16}{3}\right)\)
\(=\frac{3}{4}:\left(\frac{8}{9}+\frac{48}{9}\right)\)
\(=\frac{3}{4}:\frac{56}{9}\)
\(=\frac{3}{4}x\frac{9}{56}\)
\(=\frac{27}{224}\)
c) \(\frac{1}{5}:\frac{1}{10}-\frac{1}{3}\)
\(=\frac{1}{5}x10-\frac{1}{3}\)
\(=2-\frac{1}{3}\)
\(=\frac{6}{3}-\frac{1}{3}=\frac{5}{3}\)
d) \(\frac{3}{4}x\left(\frac{20}{9}-\frac{8}{15}\right)\)
\(=\frac{3}{4}x\left(\frac{100}{45}-\frac{24}{45}\right)\)
\(=\frac{3}{4}x\frac{76}{45}\)
\(=\frac{19}{5}\)
e) \(\frac{1}{7}:\frac{5}{14}-\frac{3}{2}\)
\(=\frac{1}{7}x\frac{14}{5}-\frac{3}{2}\)
\(=\frac{2}{5}-\frac{3}{2}\)
\(=\frac{4}{10}-\frac{15}{10}\)
\(=\frac{-11}{10}\)
g) \(\frac{3}{2}x\left(\frac{11}{6}-\frac{5}{12}\right)\)
\(=\frac{3}{2}x\left(\frac{22}{12}-\frac{5}{12}\right)\)
\(=\frac{3}{2}x\frac{17}{12}\)
=\(=\frac{17}{8}\)
