Calculate Fractions: Finding Components in a 600ml Juice Mixture

Q: Why do I multiply the fraction by 600 instead of just using the fraction?

The fractions $ \frac{1}{2} $ and $ \frac{1}{4} $ tell you what portion of the total each juice makes up. To find the actual amount in ml, you need to multiply by the total volume of 600 ml.

Q: How do I know if I should add the results or keep them separate?

Read the question carefully! It asks for how many ml of apples and pineapple juice - the word "and" means you need to add them together for the final answer.

Q: What if the fractions don't add up to 1?

That's normal! In this problem, $ \frac{1}{2} + \frac{1}{4} = \frac{3}{4} $, which means $ \frac{1}{4} $ of the juice is other ingredients like water or preservatives.

Q: Can I convert to decimals instead of working with fractions?

Absolutely! $ \frac{1}{2} = 0.5 $ and $ \frac{1}{4} = 0.25 $. Then calculate: 0.5 × 600 = 300 and 0.25 × 600 = 150. Same answer!

Q: How can I check my work?

Add your individual amounts and see if they make sense: 300 + 150 = 450 ml. This should be less than the total 600 ml since there are other ingredients too!

Fraction Operations with Total Volume Calculations

A bottle contains 600 ml of a juice.

The juice is made up of $\frac{1}{2}$ ml of apple juice and $\frac{1}{4}$ ml of pineapple juice.

How many ml of apples and pineapple juice are there in the drink?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

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 $450$ .

Final Answer

450

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply the fraction by the total to find each part
Technique: Calculate $\frac{1}{2} \times 600 = 300$ ml apple juice
Check: Add all parts: 300 + 150 = 450 ml total ✓

Common Mistakes

Avoid these frequent errors

Adding fractions instead of multiplying by total
Don't add 1/2 + 1/4 = 3/4 and then multiply by 600 = 450! This gives the total amount, not individual components. Always multiply each fraction by the total volume separately to find each juice amount.

Practice Quiz

Test your knowledge with interactive questions

$$ $\frac{4}{5}+\frac{1}{5}=$

FAQ

Everything you need to know about this question

Why do I multiply the fraction by 600 instead of just using the fraction?

The fractions $\frac{1}{2}$ and $\frac{1}{4}$ tell you what portion of the total each juice makes up. To find the actual amount in ml, you need to multiply by the total volume of 600 ml.

How do I know if I should add the results or keep them separate?

Read the question carefully! It asks for how many ml of apples and pineapple juice - the word "and" means you need to add them together for the final answer.

What if the fractions don't add up to 1?

That's normal! In this problem, $\frac{1}{2} + \frac{1}{4} = \frac{3}{4}$ , which means $\frac{1}{4}$ of the juice is other ingredients like water or preservatives.

Can I convert to decimals instead of working with fractions?

Absolutely! $\frac{1}{2} = 0.5$ and $\frac{1}{4} = 0.25$ . Then calculate: 0.5 × 600 = 300 and 0.25 × 600 = 150. Same answer!

How can I check my work?

Add your individual amounts and see if they make sense: 300 + 150 = 450 ml. This should be less than the total 600 ml since there are other ingredients too!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime