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x/2=5/6 /*6
3x=5 /:5
x=5/3
x=1²/₃
b)
x/2=(x+1)/4 /*4
2x=x+1
2x-x=1
x=1
c)
2(x-1)/3=(x+2)/5 /*15
5*2(x-1)=3(x+2)
10x-10=3x+6
10x-3x=6+10
7x=16
x=16/7
x=2²/₇
d)
(x-1)/(x+3)=x/(x+1) /*(x+3)(x+1), x≠-3 i x≠-1
(x-1)(x+1)=x(x+3)
x²-1=x²+3x
3x=-1 /:3
x=-1/3
e)
(2a+1)/(2a)=(a+3)/(a-1) /*2a(a-1) , a≠0 i a≠1
(2a+1)(a-1)=2a(a+3)
2a²-2a+a-1=2a²+6a
-a-6a=1
-7a=1
a=-1/7
f)
(b-2)/(b+1)=b/(b-3) /*(b+1)(b-3) , b≠-1 i b≠3
(b-3)(b-2)=b(b+1)
b²-2b-3b+6=b²+b
-5b-b=-6
-6b=-6 /:(-6)
b=1