Convert Fraction 6/2 to Mixed Number: Step-by-Step Solution

Fraction Conversion with Division Simplification

Write the fraction as a mixed number:

62= \frac{6}{2}=

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write when it's mixed
00:03 Let's calculate the portion
00:08 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction as a mixed number:

62= \frac{6}{2}=

2

Step-by-step solution

To convert the improper fraction 62 \frac{6}{2} into a mixed number, we need to divide the numerator by the denominator:

Step 1: Evaluate the division 6÷2 6 \div 2 .
By performing this division, we find that 6÷2=3 6 \div 2 = 3 .

Since the division results in a whole number, the mixed number equivalent of 62 \frac{6}{2} is simply 3 3 . Therefore, there is no fractional part remaining.

Thus, the fraction 62 \frac{6}{2} expressed as a mixed number is 3 3 .

3

Final Answer

3 3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide numerator by denominator to convert improper fractions
  • Technique: When 6÷2=3 6 \div 2 = 3 exactly, the mixed number is just 3
  • Check: Verify that 3=62 3 = \frac{6}{2} by multiplying: 3 × 2 = 6 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing proper and improper fractions
    Don't assume all fractions need mixed number form = writing 62 \frac{6}{2} as 222 \frac{2}{2} ! When division gives a whole number, there's no fractional part left. Always divide completely first: 6 ÷ 2 = 3.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

\( \frac{10}{7}= \)

FAQ

Everything you need to know about this question

Why isn't this fraction already in mixed number form?

+

A mixed number has both a whole number and a fraction part. Since 62 \frac{6}{2} equals exactly 3 with no remainder, it's just a whole number!

What if the division doesn't come out evenly?

+

If there's a remainder, that becomes your fractional part! For example: 72=312 \frac{7}{2} = 3\frac{1}{2} because 7 ÷ 2 = 3 remainder 1.

How do I know when a fraction is improper?

+

A fraction is improper when the numerator is greater than or equal to the denominator. Like 62 \frac{6}{2} , 53 \frac{5}{3} , or 88 \frac{8}{8} .

Can I convert proper fractions to mixed numbers too?

+

No - proper fractions (like 12 \frac{1}{2} or 34 \frac{3}{4} ) are already in their simplest form since they're less than 1.

What's the fastest way to check my answer?

+

Multiply your whole number by the denominator. If it equals the original numerator, you're correct! Here: 3 × 2 = 6 ✓

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Mixed 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

More Questions

Click on any question to see the complete solution with step-by-step explanations