Calculate Fractions: Finding Components in a 600ml Juice Mixture

To solve this problem, we'll follow these steps:

• Determine the amount of apple juice.
• Determine the amount of pineapple juice.
• Add the two amounts to find the total quantity.

Now, let's work through each step:

Step 1: Determine the amount of apple juice.

The juice is made up of $\frac{1}{2}$ of apple juice. Therefore, the amount of apple juice is calculated as follows:

$\left(\frac{1}{2}\right) \times 600 = 300 \text{ ml}$

Step 2: Determine the amount of pineapple juice.

The juice is made up of $\frac{1}{4}$ of pineapple juice. Therefore, the amount of pineapple juice is calculated as follows:

$\left(\frac{1}{4}\right) \times 600 = 150 \text{ ml}$

Step 3: Add the two amounts to find the total quantity of apple and pineapple juices.

$300 + 150 = 450 \text{ ml}$

Therefore, the total amount of apple and pineapple juice together is $\text{450 ml}$, which corresponds to choice 2. Hence, the final answer is:

The correct answer to the problem is $450$.