Yes, there a dozens of conventions designed specifically to deal with this situation. As a beginner, the two relevant ones you may want to consider are "New Minor Forcing" and "Checkback Stayman".
"New Minor Forcing" works as follows: Your partner opens 1 of a minor, you respond 1 of a major, and partner rebids 1NT. If you now bid 2 of the other minor (than the one your partner opened), then this is an 
artificial, forcing bid that does not promise any sort of holding in the suit you bid. An example:
2
♦ does not promise anything in diamonds. It is simply asking partner, "partner, do you have 3 hearts and/or 4 spades?"
You should have at least invitational strength to bid NMF. Assuming your 1NT rebid shows 12-14 points, this means you should have at least 11 points to bid NMF.
Checkback Stayman is much the same, except that the asking bid is always 2
♣, regardless of whether partner opened 1
♣ or 1
♦.
						
						
						
					
	"One of the painful things about our time is that those who feel certainty are stupid, and those with any imagination and understanding are filled with doubt and indecision"
      -- Bertrand Russell