Tính tổng sau đây.
M=\(\frac{1}{21}\) +\(\frac{1}{28}\) +\(\frac{1}{36}\) +\(\frac{1}{45}\) +\(\frac{1}{55}\)
Các bạn giúp mik vs,ai nhanh và làm đúng,đầy đủ mik tick cho nha.Thank you very much!!!
Tính các tổng sau đây:
a)A=\(\frac{1}{25.27}\) +\(\frac{1}{27.29}\) +....+\(\frac{1}{73.75}\)
b)B=\(\frac{1}{8.11}\) +\(\frac{1}{11.14}\) +\(\frac{1}{14.17}\) +....+\(\frac{1}{197.200}\)
CÁC BẠN ƠI,GIÚP MIK VỚI.AI NHANH,LÀM ĐÚNG VÀ ĐỦ 2 Ý THÌ MIK TICK CHO NHA.Thank you very much.
\(a,A=\frac{1}{25\cdot27}+\frac{1}{27\cdot29}+...+\frac{1}{73\cdot75}\)
\(A=\frac{1}{2}\left[\frac{2}{25\cdot27}+\frac{2}{27\cdot29}+...+\frac{2}{73\cdot75}\right]\)
\(A=\frac{1}{2}\left[\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+...+\frac{1}{73}-\frac{1}{75}\right]\)
\(A=\frac{1}{2}\left[\frac{1}{25}-\frac{1}{75}\right]=\frac{1}{2}\cdot\frac{2}{75}=\frac{1}{75}\)
\(b,B=\frac{1}{8\cdot11}+\frac{1}{11\cdot14}+\frac{1}{14\cdot17}+...+\frac{1}{197\cdot200}\)
\(3B=\frac{3}{8\cdot11}+\frac{3}{11\cdot14}+\frac{3}{14\cdot17}+...+\frac{3}{197\cdot200}\)
\(3B=\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+...+\frac{1}{197}-\frac{1}{200}\)
\(3B=\frac{1}{8}-\frac{1}{200}\)
\(3B=\frac{3}{25}\)
\(B=\frac{3}{25}:3=\frac{1}{25}\)
#)Giải :
a, \(A=\frac{1}{25.27}+\frac{1}{27.29}+...+\frac{1}{73.75}\)
\(A=\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+...+\frac{1}{73}-\frac{1}{75}\)
\(A=\frac{1}{25}-\frac{1}{75}\)
\(A=\frac{2}{75}\)
b, \(B=\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+...+\frac{1}{197.200}\)
\(B=\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+...+\frac{1}{197}-\frac{1}{200}\)
\(B=\frac{1}{8}-\frac{1}{200}\)
\(B=\frac{3}{25}\)
#~Will~be~Pens~#
\(A=\frac{1}{25.27}+\frac{1}{27.29}+...+\frac{1}{73.75}\)
\(2A=\frac{2}{25.27}+\frac{2}{27.29}+...+\frac{2}{73.75}\)
\(2A=\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+...+\frac{1}{73}-\frac{1}{75}\)
\(2A=\frac{1}{25}-\frac{1}{75}\)
\(2A=\frac{2}{75}\)
\(A=\frac{2}{75}:2=\frac{1}{75}\)
\(B=\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+...+\frac{1}{197.200}\)
\(3B=\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+...+\frac{3}{197.200}\)
\(3B=\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+...+\frac{1}{197}-\frac{1}{200}\)
\(3B=\frac{1}{8}-\frac{1}{200}\)
\(3B=\frac{3}{25}\)
\(B=\frac{3}{25}:3=\frac{1}{25}\)
So sánh các phân số sau = cách hợp lí nhất:
a)\(\frac{12}{17}\) và \(\frac{7}{15}\)
b)\(\frac{13}{27}\) và\(\frac{27}{41}\)
c)\(\frac{2017}{2018}\) và \(\frac{12}{11}\)
d)\(\frac{2017}{2018}\)và \(\frac{2018}{2019}\)
CÁC BẠN ƠI,GIÚP MIK VỚI.NGÀY KIA MIK ĐI HOK RÙI.A NHANH,LÀM ĐẦY ĐỦ VÀ ĐÚNG THÌ MIK TICK CHO NHA.Thank you very much!!!
Bài làm
c ) Ta có :
\(\frac{2017}{2018}< 1\)
\(\frac{12}{11}>1\)
\(\Rightarrow\frac{2017}{2018}< \frac{12}{11}\)
trả lời
a, quy đồng rồi so sánh
b,quy đồng rồi so sánh
c,phân số nào có tử nhỏ hơn mẫu khi so sành với phân số có tử lớn hơn mẫu đều bé hơn
d,quy đồng rồi so sánh
chắc vậy chúc bn học tốt
Bài làm
b ) Ta có :
\(\frac{13}{27}=\frac{26}{54}\)
Mà : \(\frac{26}{54}< \frac{27}{54}\)
Lại có : \(\frac{27}{54}< \frac{27}{41}\)
\(\Rightarrow\frac{13}{27}< \frac{27}{41}\)
Tính bằng cách thuận tiện nhất:
(1+\(\frac{1}{4}\) ) x (1+\(\frac{1}{8}\) ) x (1+\(\frac{1}{15}\) ) x (1+\(\frac{1}{24}\) ) x ..... x(1+\(\frac{1}{9999}\) )
CÁC BẠN GIÚP MÌNH VỚI.AI NHANH ,LÀM ĐÚNG VÀ ĐẦY ĐỦ THÌ MIK K CHO.Thank you very much!!!
\(\left(1+\frac{1}{4}\right).\left(1+\frac{1}{8}\right).\left(1+\frac{1}{15}\right).\left(1+\frac{1}{24}\right)...\left(1+\frac{1}{9999}\right)\)
\(=\frac{5}{4}.\frac{9}{8}.\frac{16}{15}.\frac{25}{24}...\frac{10000}{9999}=\frac{5.9.16.25...10000}{4.8.15.24...9999}=\frac{5.3^2.4^2.5^2...100^2}{4.2.4.3.5.4.6...99.101}\)
\(=\frac{5.3.4.5...100.3.4.5...100}{4.2.3.4...99.4.5.6...101}=\frac{5.100.3}{4.2.101}=\frac{5.25.3}{2.101}=\frac{375}{202}.\)
Tính tổng P\(=\frac{1}{2.3}+\frac{1}{6.5}+\frac{1}{10.7}+...+\frac{1}{198.101}\)
Các pn giúp mik nka!!!Ai làm nhanh nhất mik TICK cho!!!!!Nhanh lên mik dag cần gấp!!!
1/2 . P = 1/2.6 + 1/6.10 + 1/10.14 + ... + 1/198.202
4.1/2. P= 4/2.6 + 4/6.10 + 4/10.14 + ... + 4/198.202
2P=1/2-1/6+1/6-1/10+1/10-1/14+...+1/198-1/202
2P=1/2-1/202=50/101
P=50/101:2=50/101.1/2=25/101
\(\frac{\frac{4}{17}-\frac{4}{45}+\frac{1}{39}}{\frac{3}{17}-\frac{1}{15}+\frac{1}{52}}\)
Giúp mik vs ai nhanh mik tick cho ^-^
\(\frac{\frac{4}{17}-\frac{4}{45}+\frac{4}{156}}{\frac{3}{17}-\frac{3}{45}+\frac{3}{156}}=\frac{4.\left(\frac{1}{17}-\frac{1}{45}+\frac{1}{156}\right)}{3.\left(\frac{1}{17}-\frac{1}{45}+\frac{1}{156}\right)}=\frac{4}{3}\)
\(\frac{\frac{4}{17}-\frac{4}{45}+\frac{1}{39}}{\frac{3}{17}-\frac{1}{15}+\frac{1}{52}}\)
\(=\frac{\frac{4}{17}-\frac{4}{45}+\frac{4}{156}}{\frac{3}{17}-\frac{3}{45}+\frac{3}{156}}\)
\(=\frac{\frac{1}{17}.4-\frac{1}{45}.4+\frac{1}{156}.4}{\frac{1}{17}.3-\frac{1}{45}.3+\frac{1}{156}.3}\)
\(=\frac{4\left(\frac{1}{17}-\frac{1}{45}+\frac{1}{156}\right)}{3\left(\frac{1}{17}-\frac{1}{45}+\frac{1}{156}\right)}\)
\(=\frac{4}{3}\)
tính nhanh \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}+\frac{1}{55}\)
lấy (1/3 + 1/15 +1/10 + 1/21 ) + (1/36 + 1/28 + 1/6) + (1/45 + 1/55)
= (4/50 + 3/70) + 2/100
= 7/120 + 2/100
= 9/220
1/Tính:
A= \(1+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\)
B= \(\frac{5}{1.4.7}+\frac{5}{4.7.10}+\frac{5}{7.10.13}+...+\frac{5}{94.97.100}\)
Các bạn vui lòng giải đầy đủ giúp mình nhé! Cảm ơn rất nhiều!
\(\frac{1}{2}A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(\frac{1}{2}A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(\frac{1}{2}A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\)
\(\frac{1}{2}A=1-\frac{1}{10}\)
\(\frac{1}{2}A=\frac{9}{10}\)
\(A=\frac{9}{10}:\frac{1}{2}\)
\(A=\frac{18}{10}=\frac{9}{5}\)
sao thế tự dưng lấy 1/12 ở đâu thế 1/10 cơ mà
Tìm x, biết:
\(\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+...+\frac{2}{x\left(x+1\right)}\)
ai làm đúng, nhanh mk cho 10 tick
đề bài thiếu = 2/9
1/21+1/28+1/36+...+2/x(x+1)=2/9
=>1/3.7+1/4.7+...+2/x.(x+1)=2/9
=>2/6.7+2/7.8+...+2/x.(x+1)=2/9
=>2.(1/6-1/x+1)=2/9
=>1/6-1/x=1=1/9
=>1/x+1=1/18
=>x+1=18
=>x=17
CHÚC BẠN HỌC GIỎI
K MÌNH NHÉ
Tìm x, biết:
\(\frac{1}{4}+\frac{1}{3}:\left(2.x-1\right)=-5\)
ai làm đúng nhanh nhất mik sẽ tick cho. Phải trình bày đầy đủ nhé.
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=-5-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=-\frac{20}{4}-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=-\frac{21}{4}\)
\(\left(2x-1\right)=\frac{1}{3}:-\frac{21}{4}\)
\(\left(2x-1\right)=\frac{1}{3}.-\frac{4}{21}\)
\(\left(2x-1\right)=-\frac{4}{63}\)
2x= -4/63 + 1
2x = 59/63
x = 59/63 : 2
x = 59/126
1/3:(2.x-1)=-5-1/4
1/3:(2.x-1)=-21/4
2.x-1=1/3:-21/4
2.x-1=-4/63
2.x=-4/63+1
2.x=\(3\frac{59}{63}\)
x=\(3\frac{59}{63}\):2
x=\(1\frac{61}{63}\)
\(\frac{1}{4}+\frac{1}{3}\div\left(2x-1\right)=-5\)
\(\frac{1}{3}\div\left(2x-1\right)=-5-\frac{1}{4}\)
\(\frac{1}{3}\div\left(2x-1\right)=\frac{-20}{4}+\frac{-1}{4}\)
\(\frac{1}{3}\div\left(2x-1\right)=\frac{-21}{4}\)
\(2x-1=\frac{1}{3}\div\frac{-21}{4}\)
\(2x-1=\frac{1}{3}.\frac{-4}{21}\)
\(2x-1=\frac{-4}{63}\)
\(2x=\frac{-4}{63}+1\)
\(2x=\frac{-4}{63}+\frac{63}{63}\)
\(2x=\frac{59}{63}\)
\(x=\frac{59}{63}\div2\)
\(x=\frac{59}{63}.\frac{1}{2}\)
\(x=\frac{59}{126}\)