=>2A=4/2*6+4/6*10+4/10*14+...+4/42*46

=>2A=1/2-1/6+1/6-1/10+...+1/42-1/46=1/2-1/46=22/46

=>A=11/46

\(A=\dfrac{1}{6}+\dfrac{1}{30}+\dfrac{1}{70}+\dfrac{1}{126}+...+\dfrac{1}{966}\)

\(\Rightarrow\dfrac{4}{2}A=\dfrac{4}{2}\cdot\left(\dfrac{1}{6}+\dfrac{1}{30}+\dfrac{1}{70}+...+\dfrac{1}{966}\right)\)

\(\Rightarrow2A=\dfrac{4}{2\times6}+\dfrac{4}{6\times10}+\dfrac{4}{10\times14}+\dfrac{4}{14\times18}+...+\dfrac{4}{42\times46}\)

\(\Rightarrow2A=\dfrac{1}{2}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{18}+...+\dfrac{1}{42}-\dfrac{1}{46}\)

\(\Rightarrow2A=\dfrac{1}{2}-\dfrac{1}{46}\)

\(\Rightarrow2A=\dfrac{11}{23}\)

\(\Rightarrow A=\dfrac{11}{23}:2\)

\(\Rightarrow A=\dfrac{11}{46}\)

Đặt A=\(\frac{1}{15}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{340}\)

Ta có:

A=\(\frac{1}{15}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{340}\)

=>A=\(\frac{1}{3.5}+\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+\frac{1}{17.20}\)

=\(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20}\)

=\(\frac{1}{3}-\frac{1}{20}\)

=\(\frac{17}{60}\)

Câu b bạn đặt B bằng từng đó rồi nhân 2B lên và phân tách rồi giãn ước 6=1.6,60=6.10,140=10.140,v.v

Tính được kết quả thì chia 2

Câu hỏi của Thịnh - Toán lớp 6 - Học toán với OnlineMath

Bạn tham khảo câu hỏi ở link này.

1) \(1+\frac{1}{3}+1\frac{91}{27}+\frac{1}{81}\)

\(=1+\frac{1}{3}+4+\frac{10}{27}+\frac{1}{81}\)

\(=\left(1+4\right)+\left(\frac{1}{3}+\frac{10}{27}+\frac{1}{81}\right)\)

\(=5+\frac{58}{81}=5\frac{58}{81}\)

2) \(\frac{1}{78}+\frac{1}{91}+\frac{1}{105}+\frac{1}{120}+\frac{1}{136}\)

\(=\frac{1}{6\times13}+\frac{1}{13\times7}+\frac{1}{7\times15}+\frac{1}{15\times8}+\frac{1}{8\times17}\)

\(=\frac{1}{6}-\frac{1}{13}+\frac{1}{13}-\frac{1}{7}+\frac{1}{7}-\frac{1}{15}+\frac{1}{15}-\frac{1}{8}+\frac{1}{8}-\frac{1}{17}\)

(gạch bỏ các số giống nhau)

\(=\frac{1}{6}-\frac{1}{17}=\frac{11}{102}\)

3)  \(\frac{1}{6}+\frac{1}{30}+\frac{1}{70}+\frac{1}{126}\)

\(=\frac{1}{2\times3}+\frac{1}{3\times10}+\frac{1}{10\times7}+\frac{1}{7\times18}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{10}+\frac{1}{10}-\frac{1}{7}+\frac{1}{7}-\frac{1}{18}\)

\(=\frac{1}{2}-\frac{1}{18}=\frac{4}{9}\)

chúc bn học tốt!!

công chúa ôri ơi mk viết nhầm đề bài 1 

đề bài là 1+1/3+1/9+1/27+1/81

bạn trả lời giúp mk với mk cần gấp lắm

cảm ơn

a)\(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\)

\(=1+\frac{1}{1\times3}+\frac{1}{3\times3}+\frac{1}{3\times9}+\frac{1}{9\times9}\)

\(=1+1-\frac{1}{3}+\frac{1}{3}-\frac{1}{3}+\frac{1}{3}-\frac{1}{9}+\frac{1}{9}-\frac{1}{9}\)

\(=2-\frac{1}{9}=1\frac{8}{9}\)

BN VIẾT NHẦM CÂU 1 , THẢO NÀO MK THẤY RA SỐ TO QUÁ!

Đề lỗi. mk sửa 15->10

\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{340}\)

\(=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+\frac{1}{17.20}\)

\(=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+\frac{1}{17.20}\)

\(=\frac{1}{3}\left(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{17.20}\right)\)

\(=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\right)\)

\(=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{20}\right)\)

\(=\frac{1}{3}.\frac{9}{20}\)

\(=\frac{9}{60}\)

Đặt \(S=\frac{1}{6}+\frac{1}{30}+\frac{1}{70}+\frac{1}{126}+\frac{1}{198}+\frac{1}{286}\)

\(\Leftrightarrow2S=\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}\)

\(\Leftrightarrow2S=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}\)

\(\Leftrightarrow4S=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}\)

\(\Leftrightarrow4S=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}\)

\(\Leftrightarrow4S=1-\frac{1}{13}\)

\(\Leftrightarrow4S=\frac{12}{13}\)

\(\Leftrightarrow S=\frac{12}{13}\div4\)

\(\Leftrightarrow S=\frac{3}{13}\)

a) 123,45 x 678 - 246,9 x 338 - 246

= 83699,1 - 83452,2 - 246

= 246,9 - 246

= 0,9

b, \(\frac{1}{6}+\frac{1}{11}+\frac{1}{70}+\frac{1}{126}+\frac{1}{198}+\frac{1}{286}\)

Bạn tính ra máy tính bỏ túi

1630 nha bn

a) 0,9

b) 1237/4290

lam rõ nha các bn

làm nhanh mk sẽ k