If 1/5÷2/3=1/5.x/2, then x =3 am I correct. Thanks

I am uncertain about your notation.

1/5 divided by 2/3 = 1/5 * 3/2 = 3/10

1/5 times x/2 = 1/5 * x/2 = x/10

3/10 = x/10

3 = x

Yes, you are correct.