Solve the Fraction Division: 2/4 ÷ 4/3 Step-by-Step

Q: Why do I flip the second fraction when dividing?

Dividing by a fraction is the same as multiplying by its reciprocal. When you flip $ \frac{4}{3} $ to get $ \frac{3}{4} $, you're converting division into multiplication!

Q: Do I need to simplify before or after multiplying?

You can do either! In this problem, simplifying $ \frac{2}{4} $ to $ \frac{1}{2} $ first makes the multiplication easier, but the final answer will be the same.

Q: What if my answer is an improper fraction?

That's perfectly normal! Just make sure to check if it can be simplified. In this case, $ \frac{3}{8} $ is already in simplest form since 3 and 8 share no common factors.

Q: How do I know if I did the division correctly?

Multiply your answer by the divisor: $ \frac{3}{8} \times \frac{4}{3} $. If you get the original dividend $ \frac{1}{2} $, you're correct!

Q: Is there a shortcut for fraction division?

Remember the phrase "Keep, Change, Flip": Keep the first fraction, change ÷ to ×, and flip the second fraction. Then multiply across!

Fraction Division with Reciprocal Method

Complete the following exercise:

$\frac{2}{4}:\frac{4}{3}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Instead of division, we'll use multiplication by reciprocal

00:09 We'll flip between the numerator and denominator of the fraction

00:15 Make sure to multiply numerator by numerator and denominator by denominator

00:21 Calculate the multiplications

00:24 Reduce the fraction as much as possible

00:27 Make sure to divide both numerator and denominator

00:30 Calculate the quotients

00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following exercise:

$\frac{2}{4}:\frac{4}{3}=\text{?}$

Step-by-step solution

To find the result of dividing $\frac{2}{4}$ by $\frac{4}{3}$ , follow these steps:

Step 1: Simplify the fraction $\frac{2}{4}$ . This becomes $\frac{1}{2}$ because both the numerator and the denominator can be divided by 2.
Step 2: Find the reciprocal of the fraction $\frac{4}{3}$ . The reciprocal is $\frac{3}{4}$ because it exchanges the numerator and the denominator.
Step 3: Multiply $\frac{1}{2}$ by $\frac{3}{4}$ . $\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$
Step 4: The result is $\frac{3}{8}$ , which is already in its simplest form.

Therefore, the solution to the problem $\frac{2}{4}:\frac{4}{3}$ is $\frac{3}{8}$ .

Final Answer

$\frac{3}{8}$

Key Points to Remember

Essential concepts to master this topic

Rule: Division by a fraction means multiply by its reciprocal
Technique: $\frac{1}{2} \times \frac{3}{4} = \frac{3}{8}$ after finding reciprocal
Check: Verify $\frac{3}{8} \times \frac{4}{3} = \frac{1}{2}$ gives original dividend ✓

Common Mistakes

Avoid these frequent errors

Multiplying fractions directly without finding reciprocal
Don't multiply $\frac{2}{4} \times \frac{4}{3} = \frac{8}{12}$ when dividing! This gives the wrong operation and wrong answer. Always flip the second fraction first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{1}{4}:\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

Why do I flip the second fraction when dividing?

Dividing by a fraction is the same as multiplying by its reciprocal. When you flip $\frac{4}{3}$ to get $\frac{3}{4}$ , you're converting division into multiplication!

Do I need to simplify before or after multiplying?

You can do either! In this problem, simplifying $\frac{2}{4}$ to $\frac{1}{2}$ first makes the multiplication easier, but the final answer will be the same.

What if my answer is an improper fraction?

That's perfectly normal! Just make sure to check if it can be simplified. In this case, $\frac{3}{8}$ is already in simplest form since 3 and 8 share no common factors.

How do I know if I did the division correctly?

Multiply your answer by the divisor: $\frac{3}{8} \times \frac{4}{3}$ . If you get the original dividend $\frac{1}{2}$ , you're correct!

Is there a shortcut for fraction division?

Remember the phrase "Keep, Change, Flip": Keep the first fraction, change ÷ to ×, and flip the second fraction. Then multiply across!

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Solve the Fraction Division: 2/4 ÷ 4/3 Step-by-Step

Fraction Division with Reciprocal Method

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I flip the second fraction when dividing?

Do I need to simplify before or after multiplying?

What if my answer is an improper fraction?

How do I know if I did the division correctly?

Is there a shortcut for fraction division?

🌟 Unlock Your Math Potential

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