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[y+2/5] x 4/6 = 5/6
y + 2/5 =5/6 : 4/6
y + 2/5 = 5/4
y = 5/4 - 2/5
y = 17/20
1)
( y - 1/5 ) : 2/3 = 3/4
y - 1/5 = 3/4 x 2/3
y - 1/5 = 1/2
y = 1/2 + 1/5
y = 7/10.
2)
7/4 - y x 5/6 = 1/2 + 1/3
7/4 - y x 5/6 = 5/6
7/4 - y = 5/6 : 5/6
7/4 - y = 1
y = 7/4 - 1
y = 3/4
C1 :(y-1/5):2/3=3/4
y-1/5=3/4.2/3
y-15=1/2
y=1/2+15
y=31/2
C2:
7/4-y.5/6=1/2+1/3
7/4-y.5/6=5/6
y.5/6=7/4-5/6
y.5/6=11/12
y=11/12:5/6
y=11/10
a, Thay y=5 vào A:
\(A=\dfrac{\left(y+4,25\right):0,5}{\left(5,25-4,75\right)\times2,5}=\dfrac{\left(5+4,25\right)\times2}{0,5\times2,5}=\dfrac{9,25\times2}{1,25}=\dfrac{19}{1,25}=15,2\)
Để A=12, ta có:
\(\dfrac{\left(y+4,25\right):0,5}{\left(5,25-4,75\right)\times2,5}=12\\ \dfrac{\left(y+4,25\right):0,5}{0,5\times2,5}=12\\ \dfrac{\left(y+4,25\right)\times2}{1,25}=12\\ y+4,25=12\times1,25:2=7,5\\ y=7,5-4,25=3,25\)
y : 3,2 x 2,5 = 0,21 x 7,5
y : 3,2 x 2,5 = 1,575
y : 3,2 = 1,575 : 2,5
y : 3,2 = 0,63
y = 0,63 x 3,2
y = 2,016
\(\left(y-\frac{2}{5}\right):\frac{4}{3}=\frac{3}{8}\)
\(y-\frac{2}{5}=\frac{3}{8}.\frac{4}{3}\)
\(y-\frac{2}{5}=\frac{1}{2}\)
\(y=\frac{1}{2}+\frac{2}{5}\)
\(\Rightarrow y=\frac{9}{10}\)
\(y.\frac{5}{6}=\frac{1}{4}+\frac{1}{3}\)
\(y.\frac{5}{6}=\frac{7}{12}\)
\(y=\frac{7}{12}:\frac{5}{6}\)
\(y=\frac{7}{12}.\frac{6}{5}\)
\(\Rightarrow y=\frac{7}{10}\)
a ) \(\left(y-\frac{2}{5}\right):\frac{4}{3}=\frac{3}{8}\)
\(\left(y-\frac{2}{5}\right)=\frac{3}{8}\times\frac{4}{3}\)
\(y-\frac{2}{5}=\frac{1}{2}\)
\(y=\frac{1}{2}+\frac{2}{5}\)
\(y=\frac{5}{10}+\frac{4}{10}\)
\(y=\frac{9}{10}\)
Vậy \(y=\frac{9}{10}\)
b ) \(y\times\frac{5}{6}=\frac{1}{4}+\frac{1}{3}\)
\(y\times\frac{5}{6}=\frac{3}{12}+\frac{4}{12}\)
\(y\times\frac{5}{6}=\frac{7}{12}\)
\(y=\frac{7}{12}:\frac{5}{6}\)
\(y=\frac{7}{12}\times\frac{6}{5}\)
\(y=\frac{7}{10}\)
Vậy \(y=\frac{7}{10}\)
Chúc bạn học tốt !!!