Two fractions are equivalent only if the product of the numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the product of the denominator (b) of the first fraction and the numerator (c) of the other that means a/b=c/d-------> a*d=c*b
so
0.34=0.34/1=34/100---------> 0.34/1=34/100 then 0.34*100=1*34-------> 34=34------> fractions (0.34/1) and (34/100) are equivalent
34/100-------> 17//50 34*50=100*17---------> 1700=1700-----> fractions 34/100 and 17/50 are equivalent