Question

B = \(\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}\)   :\(\frac{4+\frac{4}{7}+\frac{4}{49}+\frac{4}{343}}{1+\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}\)

Tính nhanh 

Ai Nhanh tk

Answer 1

Hình như câu này tớ đã gặp đâu đó trong đề thi HSG rồi!

\(B=\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}\div\frac{4+\frac{4}{7}+\frac{4}{9}+\frac{4}{343}}{1+\frac{1}{7}+\frac{1}{9}+\frac{1}{343}}\)

\(=\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2\left(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\right)}\div\frac{4\left(1+\frac{1}{7}+\frac{1}{9}+\frac{1}{3}\right)}{1+\frac{1}{7}+\frac{1}{9}+\frac{1}{3}}\)

\(=\frac{1}{2}\div4=\frac{1}{8}\)

Answer 2

câu này đơn giản lắm

Answer 3

\(B=\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}:\frac{4+\frac{4}{7}+\frac{4}{49}+\frac{4}{343}}{1+\frac{1}{7}+\frac{1}{49}+\frac{1}{343}}\)

\(B=\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2\left(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\right)}:\frac{4\left(1+\frac{1}{7}+\frac{1}{49}+\frac{1}{343}\right)}{1+\frac{1}{7}+\frac{1}{49}+\frac{1}{343}}\)

\(B=\frac{1}{2}:4=\frac{1}{2}\cdot\frac{1}{4}=\frac{1}{8}\)

Answer 4

Đề nhìn có vẻ loạn mắt nhưng bt suy luận tí thì easy đấy ạ !

\(B=\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}:\frac{4+\frac{4}{7}+\frac{4}{49}+\frac{4}{343}}{1+\frac{1}{7}+\frac{1}{49}+\frac{1}{343}}\)

\(=\frac{\frac{1}{1}+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{\frac{2}{1}+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}:\frac{\frac{4}{1}+\frac{4}{7}+\frac{4}{49}+\frac{4}{343}}{\frac{1}{1}+\frac{1}{7}+\frac{1}{49}+\frac{1}{343}}\)

\(=\frac{1}{2}:\frac{4}{1}=\frac{1}{8}\)