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a) y = 5/14 : 6/7
y = 5/12
vậy y = 5/12
b) y = 4/9 x 2/3
y = 8/27
vậy t = 8/27
c) y = 1/2 - 3/10
y = 1/5
vậy y = 1/5
d) y = 5/6 - 1/3
y = 1/2
vậy y = 1/2
\(\dfrac{9}{10}+\dfrac{3}{5}\times\dfrac{1}{6}=\dfrac{9}{10}+\dfrac{3}{30}=\dfrac{27}{30}+\dfrac{3}{30}=1\)
\(\dfrac{31}{12}-\dfrac{7}{5}:\dfrac{14}{15}=\dfrac{31}{12}-\dfrac{7}{5}\times\dfrac{15}{14}=\dfrac{31}{12}-\dfrac{3}{2}=\dfrac{31}{12}-\dfrac{18}{12}=\dfrac{13}{12}\)
\(\dfrac{4}{7}\times\dfrac{2}{5}:\dfrac{10}{9}=\dfrac{14}{35}\times\dfrac{9}{10}=\dfrac{9}{25}\)
\(\dfrac{4}{7}-\dfrac{1}{3}< \dfrac{1}{2}-\dfrac{2}{9}\)
\(\dfrac{125}{100}-\dfrac{48}{64}< \dfrac{6}{7}-\dfrac{14}{28}\)
\(\dfrac{7}{5}-\dfrac{22}{25}=\dfrac{1}{5}+\dfrac{4}{10}\)\(\dfrac{45}{75}+\dfrac{22}{33}>\dfrac{4}{5}+\dfrac{4}{6}\)
a) \(\dfrac{x}{y}\times\dfrac{3}{4}=\dfrac{5}{6}+\dfrac{1}{3}\)
\(\dfrac{x}{y}\times\dfrac{3}{4}=\dfrac{7}{6}\)
\(\dfrac{x}{y}=\dfrac{7}{6}:\dfrac{3}{4}\)
\(\dfrac{x}{y}=\dfrac{14}{9}\)
b) \(\dfrac{7}{9}:\dfrac{x}{y}=\dfrac{10}{7}-\dfrac{13}{14}\)
\(\dfrac{7}{9}:\dfrac{x}{y}=\dfrac{1}{2}\)
\(\dfrac{x}{y}=\dfrac{7}{9}:\dfrac{1}{2}\)
\(\dfrac{x}{y}=\dfrac{14}{9}\)
`4/7+4`
`=4/7+4/1`
`=4/7+28/7`
`=32/7`
__
`3+6/11`
`=33/11+6/11`
`=39/11`
__
`3-5/7`
`=3/1-5/7`
`=21/7-5/7`
`=16/7`
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`21/9-2`
`=21/9-18/9`
`=3/9`
`=1/3`
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`15/24+2`
`=15/24+48/24`
`=63/24`
`=21/16`
__
`63/45-20/25`
`=63/45-4/5`
`=63/45-36/45`
`=27/45`
`=9/15`
__
`3/4-2/8`
`=3/4-1/4`
`=2/4`
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`6/7-5/8`
`=48/56-35/56`
`=13/56`
__
`37/45-5/9`
`=37/45-25/45`
`=12/45`
`=4/15`
__
`46/39-11/13`
`=46/39-33/39`
`=13/39`
`=1/2`
__
`5/12+3/4+1/3`
`=5/12+9/12+4/12`
`=14/12+4/12`
`=18/12`
`=3/2`
__
`1/2+3/7+11/14`
`=7/14+6/14+11/14`
`=13/14+11/14`
`=24/14`
`=12/7`
__
`7/10-(1/5+1/4)`
`=7/10-(4/20+5/20)`
`=7/10-9/20`
`=14/20-9/20`
`=5/20`
`=1/4`
__
`15/4-2/3-3/4`
`=(15/4-3/4)-2/3`
`=12/4-2/3`
`=3-2/3`
`=9/3-2/3`
`=7/3`
\(=\dfrac{7}{10}\left(3+5+2\right)=\dfrac{7}{10}\cdot10=7\)
(5/7-y)x14/5=6/5
5/7-y=6/5:14/5
5/7-y=3/7
y=5/7-3/7
x=2/7
Ta có : \(\left(\frac{5}{7}-y\right)\times\frac{14}{5}=\frac{7}{10}+\frac{1}{2}\)
\(\Rightarrow\left(\frac{5}{7}-y\right)\times\frac{14}{5}=\frac{12}{10}=\frac{6}{5}\)
\(\Rightarrow\left(\frac{5}{7}-y\right)=\frac{6}{5}:\frac{14}{5}\)
\(\Rightarrow\left(\frac{5}{7}-y\right)=\frac{30}{70}=\frac{3}{7}\)
\(y=\frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)