Question

\(A=1-\frac{1}{1-\frac{2}{1-\frac{3}{1-\frac{1}{4}}}}\)

làm giúp mk nhanh nhất sẽ đc 3 tick( nhanh nha gấp lắm rồi)

Answer 1

\(\frac{1}{1-\frac{2}{1-\frac{3}{1-\frac{1}{4}}}}=\frac{1}{1-\frac{2}{1-\frac{3}{\frac{3}{4}}}}=\frac{1}{1-\frac{2}{1-4}}=\frac{1}{1-\frac{2}{-3}}=\frac{1}{\frac{5}{3}}=\frac{3}{5}\Rightarrow A=1-\frac{3}{5}=\frac{2}{5}\)

Answer 2

Bài làm

\(A=1-\frac{1}{1-\frac{2}{1-\frac{3}{1-\frac{1}{4}}}}\)

\(A=1-\frac{1}{1-\frac{2}{1-\frac{3}{\frac{4}{4}-\frac{1}{4}}}}\)

\(A=1-\frac{1}{1-\frac{2}{1-\frac{3}{\frac{3}{4}}}}\)

\(A=1-\frac{1}{1-\frac{2}{1-3:\frac{3}{4}}}\)

\(A=1-\frac{1}{1-\frac{2}{1-4}}\)

\(A=1-\frac{1}{1-\frac{2}{-3}}\)

\(A=1-\frac{1}{1+\frac{2}{3}}\)

\(A=1-\frac{1}{\frac{3}{3}+\frac{2}{3}}\)

\(A=1-\frac{1}{\frac{5}{3}}\)

\(A=1-1:\frac{5}{3}\)

\(A=1-\frac{3}{5}\)

\(A=\frac{5}{5}-\frac{3}{5}\)

\(A=\frac{2}{5}\)

Vậy \(A=\frac{2}{5}\)

# Học tốt #

Answer 3

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