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=11/3+11/5 x y-4/5=24/5
=20/3 x y-4/5=24/4
=20/3+4/5 x y=24/5
=100/12 x y=24/4
y=24/4:100/12
y=1/2
\(2\frac{8}{15}y-\frac{4}{5}=2\frac{4}{5}\)
\(2\frac{8}{15}y=2\frac{4}{5}+\frac{4}{5}\)
\(2\frac{8}{15}y=3\frac{3}{5}\)
\(y=3\frac{3}{5}:2\frac{8}{15}\)
\(y=1\frac{8}{19}\)

\(6xy+\left(\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{7x8}\right)=\frac{29}{8}\)
Đăt \(A=\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{7x8}\)
\(\Rightarrow A=\frac{3-2}{2x3}+\frac{4-3}{3x4}+\frac{5-4}{4x5}+...+\frac{8-7}{7x8}\)
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{7}-\frac{1}{8}=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\)
\(\Rightarrow6xy+A=6xy+\frac{3}{8}=\frac{29}{8}\Rightarrow6xy=\frac{26}{8}\Rightarrow y=\frac{26}{8x6}\)

BÀi này cậu vận dụng kiến thức về phân số ở Tiểu học
tk mình nhé
Nếu giải ra thì tốn sức lắm
(4/5:6/5:1/y)x30-26=54
=> ( 2/3.y)x30 = 54+26
=> ( 2/3.y)x30=80
=> 2/3.y=80:30
=>2/3.y=8/3
=> y=8/3:2/3
=> y=4
vậy y =4
****

9/4-y*5/6=1/2+2/3
9/4-y*5/6=7/6
y*5/6=9/4-7/6
y*5/6=13/12
y=13/12:5/6
y=13/12*6/5
y=13/10

\(\left(y-\frac{1}{2}\right):\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)=\frac{1}{3}\)
=> \(\left(y-\frac{1}{2}\right):\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)=\frac{1}{3}\)
=> \(\left(y-\frac{1}{2}\right):\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)=\frac{1}{3}\)
=> \(\left(y-\frac{1}{2}\right):\left(1-\frac{1}{10}\right)=\frac{1}{3}\)
=> \(\left(y-\frac{1}{2}\right):\frac{9}{10}=\frac{1}{3}\)
=> \(y-\frac{1}{2}=\frac{3}{10}\)
=> \(y=\frac{13}{10}\)
Study well ! >_<

Trả lời:
\(y\times\frac{15}{2}-\frac{1}{3}\times\left(\frac{1}{4}+y\right)=96\frac{2}{3}\)
\(\Leftrightarrow y\times\frac{15}{2}-\frac{1}{12}-\frac{1}{3}\times y=\frac{290}{3}\)
\(\Leftrightarrow y\times\left(\frac{15}{2}-\frac{1}{3}\right)=\frac{387}{4}\)
\(\Leftrightarrow y\times\frac{43}{6}=\frac{387}{4}\)
\(\Leftrightarrow y=\frac{27}{2}\)
Vậy \(y=\frac{27}{2}\)

3y + 1/2y + 1/4y = \(1\frac{1}{2}\)
15/4y = \(1\frac{1}{2}\)
y = \(1\frac{1}{2}:\frac{15}{4}=\frac{3}{2}:\frac{15}{4}=\frac{2}{5}\)
\(y:\frac{1}{2}+y:\frac{1}{4}+y:\frac{1}{5}-y=15.75\)
y x 2 + y x 4 + y x 5 - y x 1 = 15.75
y x ( 2 + 4 + 5 - 1 ) = 15.75
y x 10 = 15.75
y = 15.75 : 10
y = 1.575 k nha................