Answer: the shop had a total of 14/27 cartons of ice cream.
Step-by-step explanation: To find the total number of cartons of ice cream the shop had, we need to add the fractions representing the different flavors of ice cream.
Given:
- Chocolate ice cream: 4/9 of a carton
- Vanilla ice cream: 1/3 of a carton
- Strawberry ice cream: 1/3 of a carton
To add fractions, we need to have a common denominator. In this case, the least common denominator (LCD) is 9.
Now let's convert the fractions to have a denominator of 9:
- Chocolate ice cream: (4/9) * (9/9) = 36/81
- Vanilla ice cream: (1/3) * (3/3) = 3/9
- Strawberry ice cream: (1/3) * (3/3) = 3/9
Now we can add the fractions together:
36/81 + 3/9 + 3/9 = 42/81
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
42 ÷ 3 / 81 ÷ 3 = 14/27