Actually, the 1099-B and the K-1 are separate reports of taxable events, and each has to be reported.
The K-1 reports your share of the partnership's income and expenses for the year,
The 1099-B reports the sale of your ownership interest in the partnership.
Some of the K-1 interview questions ask if you sold part or all of your share in the partnership. In this case, you have to be careful to avoid double-reporting or missing elements of the transactions. One example is the basis in your partnership interest; current year gains or losses reported on the K-1 will increase or decrease your basis for the sale of that interest.