Final Answer:
The fraction of pies that were either blueberry or blackberry is 3/8.
Step-by-step explanation:
Individual fractions: We know that 1/12 of the pies were blueberry and 1/4 were blackberry. These fractions represent the proportion of each type of pie relative to the total number of pies sold.
Adding fractions: To find the total fraction of pies that were either blueberry or blackberry, we simply add the individual fractions:
Fraction of blueberry pies + fraction of blackberry pies = total fraction of blueberry or blackberry pies
1/12 + 1/4 = total fraction
Simplifying the sum:
1/12 + 3/12 = 4/12 = 1/3 (common denominator of 12)
1/3 can be further simplified to 3/8
Therefore, 3/8 of the pies sold at Sheng's Pie Shop were either blueberry or blackberry.