\(\frac{12}{3.5}+\frac{12}{5.7}+\frac{12}{7.9}+...+\frac{12}{97.90}\)
Những câu hỏi liên quan
bài 1:tính
a) \(\frac{5}{1.4}+\frac{5}{4.7}+\frac{5}{7.10}+...+\frac{5}{27.30}\)
b)\(\frac{12}{3.5}+\frac{12}{5.7}+\frac{12}{7.9}+...+\frac{12}{97.90}\)
nhanh lên nha gấp lắm rồi ai làm đúng và nhanh nhất tui tick cho
a) \(\frac{5}{1.4}+\frac{5}{4.7}+\frac{5}{7.10}+.....+\frac{5}{27.30}\)
\(=\frac{5}{3}\left(\frac{1}{1.4}+\frac{1}{4.7}+........+\frac{1}{27.30}\right)\)
\(=\frac{5}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+.....+\frac{1}{27}-\frac{1}{30}\right)\)
\(=\frac{5}{3}\left(1-\frac{1}{30}\right)\)
\(=\frac{5}{3}.\frac{29}{30}=\frac{29}{36}\)
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Đặt \(A=\frac{12}{3\cdot5}+\frac{12}{5\cdot7}+\frac{12}{7\cdot9}+....+\frac{12}{97\cdot99}\)
\(2A=\frac{12}{3}-\frac{12}{5}+\frac{12}{5}-\frac{12}{7}+...+\frac{12}{97}-\frac{12}{99}\)
\(2A=\frac{12}{3}-\frac{12}{99}\)
\(A=\frac{128}{33}\cdot\frac{1}{2}=\frac{64}{33}\)
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1.5/1-5/4+5/4-5/7+5/7-5/9 +....+5/27-5/30
=5/1-5/30
=145/30=29/6.
B=\(\frac{4}{3.5}-\frac{6}{5.7}+\frac{8}{7.9}-\frac{10}{9.11}+\frac{12}{11.13}-...+\frac{100}{99.101}\)
TINH B
B=2(2/3.5 - 2/ 5.7 +....................+ 2/99.101)
B=2(1/3.5 -2/5.7+..............+1/99.100)
B=2(1/3-1/5+1/5-.............+1/99-1/100)
B=2(1/3-1/100)
B=2.97/100
B=97/50
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B=\(\frac{4}{3.5}-\frac{6}{5.7}+\frac{8}{7.9}-\frac{10}{9.11}+\frac{12}{11.13}-...+\frac{100}{99.101}\)
TINH B
B=\(\frac{4}{3.5}-\frac{6}{5.7}+\frac{8}{7.9}-\frac{10}{9.11}+\frac{12}{11.13}-...+\frac{100}{99.101}\)
TINH B
tínhA frac{11}{1.3}+ frac{47}{3.5}+ frac{107}{5.7}+ frac{191}{7.9}+...+ frac{971}{17.19}B frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}- frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3-5^9.7^3.2^3}C 1.3+3.5+5.7+...+ (2n-1)(2n+1)Giúp mình vs nhanh nhanh nha các bạn
Đọc tiếp
tính
A =\(\frac{11}{1.3}\)+ \(\frac{47}{3.5}\)+ \(\frac{107}{5.7}\)+ \(\frac{191}{7.9}\)+...+ \(\frac{971}{17.19}\)
B = \(\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}\)- \(\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3-5^9.7^3.2^3}\)
C = 1.3+3.5+5.7+...+ (2n-1)(2n+1)
Giúp mình vs nhanh nhanh nha các bạn
a) \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{72}+\frac{1}{90}\)
b) \(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.10}\)
Ai làm hộ mình với ạ
a) 1/2 +1/6 +1/12 +...+1/72 +1/90
= 1/1.2 + 1/2.3 + 1/3.4 +....+1/8.9 + 1/9.10
= 1/1 -1/2 + 1/2 -1/3 + 1/3 -1/4 +....+1/9- 1/9 + 1/9 -1/10
= 1/1 -1/10
= 9/10
b) 2/3.5 + 2/5.7 + 2/7.9 + 2/9.10
= 2( 1/3.5 + 1/5.7 +1/7.9 + 1/9.10)
= 1/3-1/5 + 1/5- 1/7 +1/7-1/9 +1/9-1/10
= 1/3- /10
= 7/30
1) Thực hiện phép tính:
a/ \(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+....+\frac{1}{97.99}\)
b/ (\(\frac{201}{202}-\frac{206}{207}+\frac{21}{199}\)) . (\(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\))
a) (frac{1}{2}+frac{1}{6}+frac{1}{12}+frac{1}{20}+...+frac{1}{132}) . x frac{1}{3}
b) (frac{2}{1.3}+frac{2}{3.5}+frac{2}{5.7}+frac{2}{7.9}+frac{2}{9.11}) : x frac{2}{3}
c) (frac{1}{1.3}+frac{1}{3.5}+frac{1}{5.7}+frac{1}{7.9}+frac{1}{9.11}) . x frac{2}{3}
Mik đang cần gấp
Đọc tiếp
a) (\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{132}\)) . x =\(\frac{1}{3}\)
b) (\(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\)) : x = \(\frac{2}{3}\)
c) (\(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\)) . x = \(\frac{2}{3}\)
Mik đang cần gấp
a)(\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{11.12}\)). x=\(\frac{1}{3}\)
(1-\(\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-...-\frac{1}{11}_{ }+\frac{1}{12}\)).x=\(\frac{1}{3}\)
(1+\(\frac{1}{12}\)).x=\(\frac{1}{3}\)
x=\(\frac{1}{3}:\frac{13}{12}\)
x=\(\frac{4}{13}\)
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b)( \(2-\frac{2}{3}+\frac{2}{3}-\frac{2}{5}+...+\frac{2}{9}-\frac{2}{11}_{ }\)):x =\(\frac{2}{3}\)
Giống câu a
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1) Tính:Afrac{2}{3.5}+frac{2}{5.7}+frac{2}{7.9}+........+frac{2}{97.99}Bfrac{left(2^3.5.7right).left(5^2.7^3right)}{left(2.5.7^2right)^2} Cfrac{1}{3.5}+frac{1}{5.7}+frac{1}{7.9}+.......frac{1}{97.99} Dleft(frac{frac{12}{1}-frac{12}{5}-frac{12}{487}}{frac{4}{1}-frac{4}{5}-frac{4}{487}}right):left(frac{frac{5}{1}+frac{5}{17}+frac{5}{37}}{frac{6}{1}+frac{6}{17}+frac{6}{37}}right).frac{505}{1818}2) So sánh:a)frac{2008}{2009}+frac{2009}{2010} và frac{2008+2009}{2009+2010} b) frac{12}{23} và frac{...
Đọc tiếp
1) Tính:
\(A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+........+\frac{2}{97.99}\)
\(B=\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7^2\right)^2}\)
\(C=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+.......\frac{1}{97.99}\)
\(D=\left(\frac{\frac{12}{1}-\frac{12}{5}-\frac{12}{487}}{\frac{4}{1}-\frac{4}{5}-\frac{4}{487}}\right):\left(\frac{\frac{5}{1}+\frac{5}{17}+\frac{5}{37}}{\frac{6}{1}+\frac{6}{17}+\frac{6}{37}}\right).\frac{505}{1818}\)
2) So sánh:
a)\(\frac{2008}{2009}+\frac{2009}{2010}\) và \(\frac{2008+2009}{2009+2010}\)
b) \(\frac{12}{23}\) và \(\frac{1212}{2323}\)
Giúp mình nha. Mai mình kiểm tra 45'.
B = \(\frac{2^3.5.7.5^2.7^3}{\left(2.5.7^2\right)^2}=\frac{2^3.5^3.7^4}{2^2.5^2.7^4}=\frac{2.5.1}{1.1.1}=10\)
C = \(\frac{1}{2}\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+....+\frac{2}{97.99}\right)\)\(=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+....+\frac{1}{97}-\frac{1}{99}\right)\)\(=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{99}\right)=\frac{1}{2}\left(\frac{33}{99}-\frac{1}{99}\right)=\frac{1}{2}.\frac{32}{99}=\frac{16}{99}\)
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1) \(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+....+\frac{2}{97.99}=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+....+\frac{1}{97}-\frac{1}{99}=\frac{1}{3}-\frac{1}{99}=\frac{33}{99}-\frac{1}{99}=\frac{32}{99}\)
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