1/2÷1/3=(1/6-x)÷x
1/2÷1/3=(1/6-x)÷x
$1/2x=1/3(1/6-x)$
$1/2x=1/18-1/3x$
$1/2x+1/3x=1/18$
$5/6x=1/18$
$x=1/18*6/5$
$x=1/15$
1/2÷1/3=(1/6-x)÷x
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$\frac{1}{2} ÷ \frac{1}{3} = \big(\frac{1}{6}-x\big) ÷ x$
applica il comporre:
$\big(\frac{1}{2}+\frac{1}{3}\big) ÷ \frac{1}{3} = \big(\frac{1}{6}-x+x\big) ÷ x$
$\big(\frac{3+2}{6}\big) ÷ \frac{1}{3} = \frac{1}{6} ÷ x$
$\frac{5}{6} ÷ \frac{1}{3} = \frac{1}{6} ÷ x$
$x= \dfrac{\frac{1}{3} × \frac{1}{6}}{ \frac{5}{6}}$
$x= \dfrac{\frac{1}{18}}{ \frac{5}{6}}$
$x= \frac{1}{18}×\frac{6}{5}$
$x= \frac{1}{3}×\frac{1}{5}$
$x= \dfrac{1}{15}$
1/2÷1/3=(1/6-x)÷x
x/2 = 1/18-x/3
5x/6 = 1/18
90x = 6
x = 1/15