Question

a )0,8[1,(6)x - 0,2(7)] = 5/4x
b) 4x/5 =1,5[0,1(6)x/5 + 10/9] 

Answer 1

a)0,8=8/10= 4/5
1,(6)=1 intreg 6/9=1 intreg 2/3= 5/3
0,2(7)= (27-2)/90= 25/90= 5/18

4/5 * (5x/3 -5/18)=5x/4   aducem la acelasi numitor in paranteza

4/5 * (30x-5)/18=5x/4

2/5 * 5(6x-1)/9=5x/4

2(6x-1)/9= 5x/4

(12x-1)/9=5x/4

48x-4=45x

48x-45x=4

3x=4

x=4/3

b)1,5=1 intreg  5/10= 1 intreg  1/2= 3/2
0,1(6)= (16-1)/90= 15/90= 1/6

4x/5= 3/2 * (1/6 * x/5 +10/9)

4x/5= 3/2 * (x/30+10/9)    aducem la acelasi numitor in paranteza

4x/5= 3/2 * (3x+100)/90

4x/5 = (3x+100)/60

240x=15x-500

240x-15x= -500

225x= -500

9x= -20

x= -20/9