Final answer:
The student's question was missing specific fractions of food distribution. Assuming Barbara gave out 1/3 to one family and 1/4 to another, she would have distributed a total of 7/12 of the food. This was calculated by converting both fractions to have a common denominator and then adding them together.
Step-by-step explanation:
The question seems to have a missing component as it references Barbara's distribution of food but does not specify the fractions or amounts given to each family. Nevertheless, I will demonstrate how you would solve the problem if the fractions were provided. Let's assume Barbara distributed 1/3 of the food to one family and 1/4 to another. To find out how much food has been distributed in total, you would simply add the two fractions:
- Amount to first family: 1/3
- Amount to second family: 1/4
To add these fractions, they must have a common denominator:
- Find the least common denominator (LCD) which for 3 and 4 is 12.
- Convert both fractions to have the LCD as the denominator: 1/3 = 4/12 and 1/4 = 3/12.
- Add the converted fractions: 4/12 + 3/12 = 7/12.
So, if these were the correct fractions, Barbara would have distributed 7/12 of the food to the two families.