Let's represent the fraction of Mary's garden that has tulips as x. The fraction of Mary's garden that has roses is 1/4, and the fraction of Mary's garden that is left to plant more flowers is 1/12. We can set up the equation 1/4 + x + 1/12 = 1, since the total fraction of Mary's garden must add up to 1.
Solving this equation for x, we get:
1/4 + x + 1/12 = 1
x = 1 - 1/4 - 1/12
= 3/4 - 1/12
= 3/12 + 5/12
= 8/12
= 2/3
Therefore, the fraction of Mary's garden that has tulips is 2/3.