Answer:
4 1/4
Explanation:
Adding fractions is like making a pizza. You need to have the same size slices, which are the denominators. The fractions in this problem have different size slices: 4 and 2. To make them the same, you can multiply the slices together: 4 x 2 = 8. Then, you need to multiply the cheese (the numerator) by the same factor that you multiplied the slices by. For example, to convert 1/4 to 8ths, you multiply both the cheese and slices by 2: 1 x 2 = 2 and 4 x 2 = 8. So, 1/4 is the same as 2/8. Similarly, to convert 2/2 to 8ths, you multiply both the cheese and slices by 4: 2 x 4 = 8 and 2 x 4 = 8. So, 2/2 is the same as 8/8.
Now that you have pizzas with the same size slices, you can add them by adding the cheese and keeping the slices the same. For example, to add 2/8 and 8/8, you add the cheese: 2 + 8 = 10 and keep the slices: 8. So, 2/8 + 8/8 = 10/8.
Using this method, you can add the pizzas in this problem:
1 3/4 + 2 1/2
First, convert both pizzas to have slices of size 8:
1 3/4 = (1 x 8 + 3 x 2) / (4 x 2) = (8 + 6) / (8) = 14/8
2 1/2 = (2 x 8 + 1 x 4) / (2 x 4) = (16 + 4) / (8) = 20/8
Then, add the pizzas:
14/8 + 20/8 = (14 + 20) / (8) = 34/8
Finally, simplify the pizza by dividing both the cheese and slices by their greatest common factor, which is 2:
34/8 = (34 / 2) / (8 / 2) = (17 / (4)
So, the answer is:
1 3/4 + 2 1/2 = (17 / (4)
This means that you ate a total of (17 / (4) pizzas to get full. The correct option is 4 1/4.