All singers are challenged with working through the ‘passaggio’ – the transition through vocal registers. The main registers are sometimes described as chest voice, middle or mixed voice and head voice as this is the physical feeling singers have as they move from a lower register to a higher register.
You cannot remove the passaggi, but you can train yourself to even out the passaggio so that you maintain ‘one voice’ through your whole vocal range.
That is something your voice teacher should be working on with you.
Here are some examples of voices where they are singing confidently through their vocal range and really nailing their high voice:
Male:
Female:
Here is a brief video for any men who are wanting to move through the passaggio – developing a mix voice: