\(\dfrac{7}{110}\)+\(\dfrac{7}{132}\)+\(\dfrac{7}{156}\)+...+\(\dfrac{7}{4830}\)
Đề: Tính tổng
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Những câu hỏi liên quan
Tính hợp lí: a) A dfrac{1}{56} + dfrac{1}{72} + dfrac{1}{90} + dfrac{1}{110} + dfrac{1}{132} + dfrac{1}{156} ; b) B dfrac{4}{21} + dfrac{4}{77} + dfrac{4}{165} + dfrac{4}{285} +dfrac{4}{437} +dfrac{4}{621}; c) C dfrac{1}{21} + dfrac{1}{77} +dfrac{1}{165} +dfrac{1}{285} +dfrac{1}{437} +dfrac{1}{621} ; d) D dfrac{1}{1.6} + dfrac{1}{6.11} +dfrac{1}{11.16} +dfrac{1}{16.21} +dfrac{1}{26.31} .
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Tính hợp lí:
a) A = \(\dfrac{1}{56}\) + \(\dfrac{1}{72}\) + \(\dfrac{1}{90}\) + \(\dfrac{1}{110}\) + \(\dfrac{1}{132}\) + \(\dfrac{1}{156}\) ;
b) B = \(\dfrac{4}{21}\) + \(\dfrac{4}{77}\) + \(\dfrac{4}{165}\) + \(\dfrac{4}{285}\) +\(\dfrac{4}{437}\) +\(\dfrac{4}{621}\);
c) C = \(\dfrac{1}{21}\) + \(\dfrac{1}{77}\) +\(\dfrac{1}{165}\) +\(\dfrac{1}{285}\) +\(\dfrac{1}{437}\) +\(\dfrac{1}{621}\) ;
d) D = \(\dfrac{1}{1.6}\) + \(\dfrac{1}{6.11}\) +\(\dfrac{1}{11.16}\) +\(\dfrac{1}{16.21}\) +\(\dfrac{1}{26.31}\) .
Giải:
a)A=1/56+1/72+1/90+1/110+1/132+1/156
A=1/7.8+1/8.9+1/9.10+1/10.11+1/11.12+1/12.13
A=1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11+1/11-1/12+1/12-1/13
A=1/7-1/13
A=6/91
b)B=4/21+4/77+4/165+4/285+4/437+4/621
B=4/3.7+4/7.11+4/11.15+4/15.19+4/19.23+4/23.27
B=1/3-1/7+1/7-1/11+1/11-1/15+1/15-1/19+1/19-1/23+1/23-1/27
B=1/3-1/27
B=8/27
c) C=1/21+1/77+1/165+1/285+1/437+1/621
C=1/3.7+1/7.11+1/11.15+1/15.19+1/19.23+1/23.27
C=1/4.(4/3.7+4/7.11+4/11.15+4/15.19+4/19.23+4/23.27)
C=1/4.(1/3-1/7+1/7-1/11+1/11-1/15+1/15-1/19+1/19-1/23+1/23-1/27)
C=1/4.(1/3-1/27)
C=1/4.8/27
C=2/27
d) D=1/1.6+1/6.11+1/11.16+1/16.21+1/21.26+1/26.31
D=1/5.(5/1.6+5/6.11+5/11.16+5/16.21+5/21.26+5/26.31)
D=1/5.(1/1-1/6+1/6-1/11+1/11-1/16+1/16-1/21+1/21-1/26+1/26-1/31)
D=1/5.(1/1-1/31)
D=1/5.30/31
D=6/31
Nếu câu d cậu viết thiếu thì làm như vầy nhé!
Chúc bạn học tốt!
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Nếu như câu d ko chép sai thì làm thế này nha:
d) D=1/1.6+1/6.11+1/11.16+1/16.21+1/26.31
D=1/5.(5/1.6+5/6.11+5/11.16+5/16.21)+1/806
D=1/5.(1/1-1/6+1/6-1/11+1/11-1/16+1/16-1/21)+1/806
D=1/5.(1/1-1/21)+1/806
D=1/5.20/21+1/806
D=4/21+1/806
D=3245/16926
Chúc bạn học tốt!
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\(\dfrac{-1}{9}.\dfrac{-3}{5}+\dfrac{5}{-6}.\dfrac{-3}{5}-\dfrac{7}{2}.\dfrac{3}{5}\)
\(\dfrac{-3}{7}.\dfrac{15}{13}.\dfrac{3}{7}.\dfrac{11}{13}-\dfrac{3}{7}\)
Đề bài: Tính nhanh
\(\dfrac{2}{9}\) + \(\dfrac{3}{7}\) + \(\dfrac{4}{7}\) - \(\dfrac{2}{13}\) + \(\dfrac{7}{9}\)
tính nhanh ( ghi chi tiết giúp mk ạ)
\(=\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)-\dfrac{2}{13}\)
\(=1+1-\dfrac{2}{13}=2-\dfrac{2}{13}=\dfrac{26}{13}-\dfrac{2}{13}=\dfrac{24}{13}\)
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= ( 2/9 + 7/9 ) + ( 3/7 + 4/7 ) - 2/13
= 1 + 1 - 2/13
= 2-2/13
= 26/13 - 2/13 = 23/13
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Xem thêm câu trả lời
18 tháng 7 2021 lúc 8:35
giúp em với ạ. em cần gấp. camonTính bằng cách hợp lí:a, 2 - (dfrac{3}{7}+dfrac{1}{3}) - (2- dfrac{4}{3}+dfrac{2}{7}) + 2 - (4-dfrac{5}{7})b, dfrac{-3}{13} . (dfrac{44}{33}+dfrac{4444}{3030}+dfrac{444444}{404040})
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giúp em với ạ. em cần gấp. camon
Tính bằng cách hợp lí:
a, 2 - (\(\dfrac{3}{7}\)+\(\dfrac{1}{3}\)) - (2- \(\dfrac{4}{3}\)+\(\dfrac{2}{7}\)) + 2 - (4-\(\dfrac{5}{7}\))
b, \(\dfrac{-3}{13}\) . (\(\dfrac{44}{33}\)+\(\dfrac{4444}{3030}\)+\(\dfrac{444444}{404040}\))
Rút gọn:
1) \(\dfrac{16-6\sqrt{7}}{\sqrt{7}-3}\)
2) \(\dfrac{\left(\sqrt{3}-\sqrt{2}\right)^2+4\sqrt{6}}{\sqrt{3}+\sqrt{2}}\)
3) \(\dfrac{\left(\sqrt{3}+2\sqrt{5}\right)^2-8\sqrt{15}}{\sqrt{6}-2\sqrt{10}}\)
Giúp em với ạ. Help mee !!!
Câu 1,2 bạn đã đăng và có lời giải rồi
Câu 3:
\(=\frac{(\sqrt{3})^2+(2\sqrt{5})^2-2.\sqrt{3}.2\sqrt{5}}{\sqrt{2}(\sqrt{3}-2\sqrt{5})}=\frac{(\sqrt{3}-2\sqrt{5})^2}{\sqrt{2}(\sqrt{3}-2\sqrt{5})}=\frac{\sqrt{3}-2\sqrt{5}}{\sqrt{2}}\)
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1. Tính nhanh:
A, \(\dfrac{7}{9}\) x \(\dfrac{25}{28}\) x \(\dfrac{9}{7}\)
B, \(\dfrac{4}{7}\) x \(\dfrac{17}{18}\) x \(\dfrac{7}{4}\) x \(\dfrac{18}{17}\)
Giúp mình với ạ. Mình sẽ tick
a/\(\left(\dfrac{7}{9}\times\dfrac{9}{7}\right)\times\dfrac{25}{28}\)
\(=1\times\dfrac{25}{28}\)
\(=\dfrac{25}{28}\)
b/\(\dfrac{4}{7}\times\dfrac{17}{18}\times\dfrac{7}{4}\times\dfrac{18}{17}\)
\(=\left(\dfrac{4}{7}\times\dfrac{7}{4}\right)\times\left(\dfrac{17}{18}\times\dfrac{18}{17}\right)\)
\(=1\times1\)
\(=1\)
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8 tháng 3 2022 lúc 14:38
\(C=\)\(\dfrac{-5}{7}+\dfrac{3}{4}+\dfrac{-1}{5}+\dfrac{-2}{7}+\dfrac{1}{4}\)
GIẢI CHI TIẾT HỘ MÌNH VỚI!!!MÌNH CẦN GẤP!!!!! MÌNH CẢM ƠN NHIỀU Ạ!!!!
\(C=\dfrac{-5}{7}+\dfrac{-2}{7}+\dfrac{3}{4}+\dfrac{1}{4}+\dfrac{-1}{5}=-1+1-\dfrac{1}{5}=\dfrac{-1}{5}\)
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1) thực hiện phép tính
d)\(\dfrac{4}{\sqrt{7}-\sqrt{3}}+\dfrac{6}{3+\sqrt{3}}+\dfrac{\sqrt{7}-7}{\sqrt{7}-1}\)
e) \(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
giúp mk vs ạ mk cần gấp
A = \(\dfrac{7}{2}\) + \(\dfrac{7}{6}\) + \(\dfrac{7}{12}\) + \(\dfrac{7}{20}\) +.... + \(\dfrac{7}{90}\)
Em xin cách giải ạ, em cảm ơn><
\(A=\dfrac{7}{2}+\dfrac{7}{6}+\dfrac{7}{12}+\dfrac{7}{20}+...+\dfrac{7}{90}\)
\(A=7x\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{90}\right)\)
\(A=7x\left(\dfrac{1}{1x2}+\dfrac{1}{2x3}+\dfrac{1}{3x4}+\dfrac{1}{4x5}+...+\dfrac{1}{9x10}\right)\)
\(A=7x\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{9}-\dfrac{1}{10}\right)\)
\(A=7x\left(1-\dfrac{1}{10}\right)\)
\(A=7x\left(\dfrac{10}{10}-\dfrac{1}{10}\right)\)
\(A=7x\dfrac{9}{10}=\dfrac{63}{10}\)
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