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1/2 : 1/1/3 x 3/4 + 4 x1/3
= 1/2 : 3/4 x 3/4 + 4 x1/3
= 1/2 x 4/3 x 3/4 + 4/3
= 1/2 + 4/3
= 11/6

Tìm \(x\):
a; \(x\) + 35,2 = [25,6 + 3,14] x 3
\(x+\) 35,2 = 28,74 x 3
\(x\) + 35,2 = 86,22
\(x\) = 86,22 - 35,2
\(x\) = 51,02
b; \(\frac{17}{5}\) : \(x\) = \(\frac{34}{5}\) : \(\frac43\)
\(\frac{17}{5}\) : \(x\) = \(\frac{34}{5}\) x \(\frac34\)
\(\frac{17}{5}\) : \(x\) = \(\) \(\frac{51}{10}\)
\(x\) = \(\frac{17}{5}\) : \(\frac{51}{10}\)
\(x\) = \(\frac{17}{5}\) x \(\frac{10}{51}\)
\(x\) = \(\frac23\)
c; [\(x\) - \(\frac12\)] x \(\frac53\) = \(\frac74\) - \(\frac12\)
[\(x\) - \(\frac12\)] x \(\frac53\) = \(\frac74-\frac24\)
[\(x-\frac12\)] x \(\frac53\) = \(\frac54\)
\(x-\frac12\) = \(\frac54\) : \(\frac53\)
\(x-\frac12\) = \(\frac54\) x \(\frac35\)
\(x\) - \(\frac12\) = \(\frac34\)
\(x=\frac34+\frac12\)
\(x=\frac34+\frac24\)
\(x=\) \(\frac54\)
d; [72 - 4 x \(x\)] : 9 = 4
72 - 4 x \(x\) = 4 x 9
72 - 4 x \(x\) = 36
4 x \(x\) = 72 - 36
4 x \(x\) = 36
\(x\) = 36 : 4
\(x\) = 9

\(B=\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{2003}\right)\times\left(1-\frac{1}{2004}\right)\)
\(\Rightarrow B=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{2002}{2003}\times\frac{2003}{2004}\) (rút gọn từ trên tử xuống dưới mẫu nhé)
\(\Rightarrow B=\frac{1}{2004}\)

\(\frac{3}{2}.\frac{4}{5}-x=\frac{2}{3}\)
\(\frac{6}{5}-x=\frac{2}{3}\)
\(x=\frac{6}{5}-\frac{2}{3}\)
\(x=\frac{18}{15}-\frac{10}{15}\)
\(x=\frac{8}{15}\)
\(\frac{3}{2}\times\frac{4}{5}-x=\frac{2}{3}\)
\(\frac{12}{10}-x=\frac{2}{3}\)
\(\frac{6}{5}-x=\frac{2}{3}\)
\(x=\frac{6}{5}-\frac{2}{3}\)
\(x=\frac{18}{15}-\frac{10}{15}\)
\(x=\frac{8}{15}\)
\(x\times3\frac{1}{3}=\frac{3}{3}:4\frac{1}{4}\)
\(x\times\frac{10}{3}=1:\frac{17}{4}\)
\(x\times\frac{10}{3}=1.\frac{4}{17}\)
\(x\times\frac{10}{3}=\frac{4}{17}\)
\(x=\frac{4}{17}:\frac{10}{3}\)
\(x=\frac{4}{17}\times\frac{3}{10}\)
\(x=\frac{6}{85}\)

( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{2}:1\frac{1}{2}-1\frac{1}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{2}:\frac{3}{2}-\frac{4}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{3}-\frac{4}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x 0
= 0

\(1\frac{1}{2}\times1\frac{1}{3}\times1\frac{1}{4}\times.....\times1\frac{1}{98}\times1\frac{1}{99}.\)
= \(\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times.....\times\frac{99}{98}\times\frac{100}{99}\)
= \(\frac{3\times4\times5\times....\times99\times100}{2\times3\times4\times.....\times98\times99}\)
= \(\frac{100}{2}\)
= \(50\)

Bài 1:
a) [ (1/6 + 1/10 + 1/15) : (1/6 + 1/10 - 1/15) phần 1/2 - 1/3 + 1/4 - 1/5 ] : (1/4 - 1/6)
= [ (1/6 : 1/6) + (1/10 : 1/10) - (1/15 : 1/15) phần 30/60 - 20/60 + 15/60 - 12/60 ] : (3/12 - 2/12)
= [ 1 + 1 - 1 phần 13/60 ] : 1/12
= [ 1 : 13/60 ] x 12
= 60/13 x 12
=720/ 13
b) (3/20 + 1/2 - 1/15) x 12/49 phần 3 và 1/3 + 2/9
= (9/60 + 30/60 - 4/60) x 12/49 phần 10/3 + 2/9
= 7/12 x 12/49 phần 30/9 + 2/9
= 1/7 : 32/9
= 1/7 x 9/32
= 9/224
1/2 : 11/3 x 3/4 + 4 x 1/3
= 1/2 x 3/11 x 3/4 + 4 x 1/3
= 3/22 x 3/4 + 4/3
= 9/88 + 4/3
= 379/264
dương tiến dũng 1 1/3 là hỗn số nhé bạn tính lại dùm mình đc k