Question

Cum se rezolva urmatoarea fractie:
(8/3-2x):2=5/6
Primul care raspunde primeste coroana... Astept!!!

Answer 1

$(\frac{8}{3}-2x):2=\frac{5}{6}$

$\frac{8}{3}-\frac{6x}{3}=\frac{5}{6}*2$

$\frac{8-6x}{3}=\frac{5}{3}~|*3$

$8-6x=5$

$6x=8-5$

$6x=3~|:6$

$x=0,5=\frac{1}{2}$


Sau, daca te referi la asta:

$\frac{8}{3-2x}:2=\frac{5}{6}~|*2$

$\frac{8}{3-2x}=\frac{5}{3}$

$=>8*3=(3-2x)*5$

$24=15-10x$

$10x=15-24$

$x=-9:10$

$x=-0,9$

Answer 2

8/3-2x=5/6*2
8/3-2x=10/6=5/3
2x=8/3-5/3=3/3=1
x=1: 2
x=0, 5