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11 giờ 15 phút – 9 giờ 37 phút = 1 giờ 38 phút
8 giờ 15 phút : 5= 1 giờ 39 phút
11 giờ 15 phút – 9 giờ 37 phút = 1 giờ 38 phút
8 giờ 15 phút : 5 = 1 giờ 39 phút
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a) Y x 4 - Y : 4 - 24,76 = 190,48 : 2
Y x 4 - Y x 1/4 - 24,76 = 95,24
Y x (4 - 1/4) = 95,24 + 24,76
Y x 15/4 = 120
Y = 120 : 15/4 = 32
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\(0,3+y-25\%\times y=\frac{1}{2}\)
\(\Leftrightarrow\frac{3}{10}+y-\frac{1}{4}y=\frac{1}{2}\)
\(\Leftrightarrow\frac{3}{10}+\frac{3}{4}y=\frac{1}{2}\)
\(\Leftrightarrow\frac{3}{4}y=\frac{1}{5}\)
\(\Leftrightarrow y=\frac{4}{15}\)
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1/2-2y=9/20
=>2y=1/2-9/20=1/20
=>y=1/20:2=1/40
b,3/5:4/3:y=2+7/10=9/20:y=27/10
=>y=9/20:27/10=1/6
c,y+y*3/2-y*1/2=1/10
=>y(1+3/2-1/2)=1/10
=>2y=1/10
=>y=1/10:2=1/20
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\(y:0,001+y:0,01+y:0,1=99:\frac{1}{100}\)
\(\Rightarrow y\times1000+y\times100+y\times10=99\times100\)
\(\Rightarrow y\times\left(1000+100+10\right)=9900\)
\(\Rightarrow y\times1110=9900\)
\(\Rightarrow y=\frac{9900}{1110}\)
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\(x+2\dfrac{1}{4}=4\dfrac{5}{6}\)
\(x=4\dfrac{5}{6}-2\dfrac{1}{4}\)
\(x=4+\dfrac{5}{6}-2-\dfrac{1}{4}\)
\(x=2+\dfrac{7}{12}\)
\(x=\dfrac{31}{12}\)
_____________
\(9\dfrac{3}{5}-x=3\dfrac{3}{8}\)
\(x=9\dfrac{3}{5}-3\dfrac{3}{8}\)
\(x=9+\dfrac{3}{5}-3-\dfrac{3}{8}\)
\(x=6+\dfrac{9}{40}\)
\(x=\dfrac{249}{40}\)
\(x+2\dfrac{1}{4}=4\dfrac{5}{6}\)
\(=>x+\dfrac{9}{4}=\dfrac{29}{6}\)
\(=>x=\dfrac{29}{6}-\dfrac{9}{4}=\dfrac{58}{12}-\dfrac{27}{12}\)
\(=>x=\dfrac{31}{12}\)
_______
\(9\dfrac{3}{5}-x=3\dfrac{3}{8}\)
\(=>\dfrac{48}{5}-x=\dfrac{27}{8}\)
\(=>x=\dfrac{48}{5}-\dfrac{27}{8}=\dfrac{384}{40}-\dfrac{135}{40}\)
\(=>x=\dfrac{249}{40}\)
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\(x\times\dfrac{1}{4}+x\times75\%=20,23\times90+202,3\)
\(x\times\dfrac{1}{4}+x\times\dfrac{3}{4}=20,23\times90+20,23\times10\)
\(x\times\left(\dfrac{1}{4}+\dfrac{3}{4}\right)=20,23\times\left(90+10\right)\)
\(x\times1=20,23\times100\)
\(x=2023\)
X x 1/4+ X x 75% = 20,23 x 90 +202,3
X x 1/4+ X x 3/4 = 2023
X x ( 1/4 +3/4 ) = 2023
X x 1 = 2023
x = 2023
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\(\frac{1}{4}+\frac{1}{28}+\frac{1}{70}+\frac{1}{130}+\frac{1}{208}\)
\(=\frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10}+\frac{1}{10\times13}+\frac{1}{13\times16}\)
\(=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\)
\(=1-\frac{1}{16}=\frac{15}{16}\)
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