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`@` `\text {Ans}`
`\downarrow`
`(1/2-1/3+1/4-1/5):(1/4-1/5)`
`=`\(\left(\dfrac{1}{6}+\dfrac{1}{20}\right)\div\dfrac{1}{20}\)
`=`\(\dfrac{1}{20}\div\dfrac{1}{20}+\dfrac{1}{6}\div\dfrac{1}{20}\)
`= 1+10/3`
`= 13/3`
A = (\(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\)): (\(\dfrac{1}{4}\) - \(\dfrac{1}{5}\))
A = ( \(\dfrac{30}{60}\) - \(\dfrac{20}{60}\) + \(\dfrac{15}{60}\) - \(\dfrac{12}{60}\)):(\(\dfrac{5}{20}\) - \(\dfrac{4}{20}\))
A = \(\dfrac{13}{60}\): \(\dfrac{1}{20}\)
A = \(\dfrac{13}{60}\times\dfrac{20}{1}\)
A = \(\dfrac{13}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có biểu thức :
\(M=\frac{11}{6}-\frac{5}{6}\div\left(m+\frac{3}{10}\right)\)
a ) Nếu \(m=\frac{1}{2}\) thì \(M=\frac{11}{6}-\frac{5}{6}\div\left(\frac{1}{2}+\frac{3}{10}\right)=\frac{5}{4}\)
b ) Nếu \(M=\frac{5}{3}\) thì
\(\frac{11}{6}-\frac{5}{6}\div\left(m+\frac{3}{10}\right)=\frac{5}{3}\)
\(1\div\left(m+\frac{3}{10}\right)=\frac{5}{3}\)
\(m+\frac{3}{10}=1\div\frac{5}{3}\)
\(m+\frac{3}{10}=\frac{3}{5}\)
\(m=\frac{3}{5}-\frac{3}{10}\)
\(m=\frac{3}{10}\)
(2/5 + 1/2 + 3/10) : 3
= (4/10 + 5/10 + 3/10) : 3
= 6/5 . 1/3
= 6/15
kết quả là \(\frac{2}{5}\)tối giản nhé