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n° 351

  

1

1/2÷1/3=(1/6-x)÷x

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4

$1/2x=1/3(1/6-x)$
$1/2x=1/18-1/3x$
$1/2x+1/3x=1/18$
$5/6x=1/18$
$x=1/18*6/5$
$x=1/15$

@grevo 👍👍



4

1/2÷1/3=(1/6-x)÷x

=============================================

$\frac{1}{2} ÷ \frac{1}{3} = \big(\frac{1}{6}-x\big) ÷ x$

applica il comporre:

$\big(\frac{1}{2}+\frac{1}{3}\big) ÷ \frac{1}{3} = \big(\frac{1}{6}-x+x\big) ÷ x$

$\big(\frac{3+2}{6}\big) ÷ \frac{1}{3} = \frac{1}{6} ÷ x$

$\frac{5}{6} ÷ \frac{1}{3} = \frac{1}{6} ÷ x$

$x= \dfrac{\frac{1}{3} × \frac{1}{6}}{ \frac{5}{6}}$

$x= \dfrac{\frac{1}{18}}{ \frac{5}{6}}$

$x= \frac{1}{18}×\frac{6}{5}$

$x= \frac{1}{3}×\frac{1}{5}$

$x= \dfrac{1}{15}$

 

 

@gramor 👍👍

@remanzini_rinaldo - Grazie mille Rinaldo, buona giornata.



4

1/2÷1/3=(1/6-x)÷x

x/2 = 1/18-x/3

5x/6 = 1/18

90x = 6

x = 1/15



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