9/11-x=5/22
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5x + 11 = 9 - x
<=> 5x = 9 - 11 - x
<=> 5x + x = - 20
<=> 6x = - 20
=> x =\(\frac{-20}{6}\)
\(=\dfrac{8}{22}\cdot\dfrac{7}{9}+\dfrac{5}{9}\cdot\dfrac{8}{11}-\dfrac{8}{9}\cdot\dfrac{4}{11}\)
\(=\dfrac{8}{9}\left(\dfrac{7}{22}+\dfrac{5}{11}-\dfrac{4}{11}\right)=\dfrac{8}{9}\cdot\dfrac{9}{22}=\dfrac{4}{11}\)
\(=\dfrac{3}{9}\cdot\dfrac{9}{11}\cdot\dfrac{22}{25}\cdot\dfrac{5}{7}\cdot\dfrac{7}{10}=\dfrac{3}{11}\cdot\dfrac{22}{25}\cdot\dfrac{5}{10}=3\cdot2\cdot\dfrac{1}{2}\cdot\dfrac{1}{5}=\dfrac{3}{5}\)
9 / 11 - x : 2 / 3 = 5 / 22
>= 9 / 11 - ( x : 2 / 3 ) = 5 / 22
>= 9 / 11 - 5 / 22 = x : 2 / 3
>= 13 / 22 = x : 2 / 3
>= x = 39 / 44
x : 2/3 = 9/11 - 5/22
x : 2/3 = 13/22
x = 13/22 * 2/3
x = 13/33
`# \text {DNamNgV}`
`16/21 + 6/7`
`= 16/21 + 18/21`
`= 34/21`
__
`15/22 \times 11/35`
`= (15 \times 11)/(22 \times 35)`
`= (5 \times 3 \times 11)/(2 \times 11 \times 5 \times 7)`
`= (3 \times 1)/(2 \times 7)`
`= 3/14`
___
`8/11 \div 5/22`
`= 8/11 \times 22/5`
`= (8 \times 22)/(11 \times 5)`
`= (8 \times 11 \times 2)/(11 \times 5)`
`= (8 \times 2)/5`
`= 16/5`
___
`9/13 \div 27/39`
`= 9/13 \times 39/27`
`= 9/13 \times 13/9`
`= 1`
a)\(x:\frac{9}{22}=44\) b)\(x:\frac{5}{11}=33\) c)\(x:\frac{4}{33}=22\)
\(x\) \(=44\times\frac{9}{22}\) \(x\) \(=33\times\frac{5}{11}\) \(x\) \(=22\times\frac{4}{33}\)
\(x\) \(=18\) \(x\) \(=15\) \(x\) \(=\frac{8}{3}\)
A) X : 9/22 = 44
X=44x9/22
X=18
B) X : 5/11 = 33
X=33x5/11
X=15
C) X : 4/33 = 22
X=22x4/33
X=8/3
\(\frac{7}{9}\cdot\frac{3}{5}=\frac{7\cdot3}{9\cdot5}=\frac{7\cdot1}{3\cdot5}=\frac{7}{15}\)
\(\frac{9}{22}\cdot55=\frac{9}{22}\cdot\frac{55}{1}=\frac{9\cdot55}{22\cdot1}=\frac{9\cdot5}{2\cdot1}=\frac{45}{2}\)
\(\frac{11}{17}:\frac{33}{34}=\frac{11}{17}\cdot\frac{34}{33}=\frac{11\cdot34}{17\cdot33}=\frac{1\cdot2}{1\cdot3}=\frac{2}{3}\)