Solve the Fraction Addition: 3/9 + 2/9 with Like Denominators

Q: Why don't I add the denominators together?

The denominator tells us the size of each piece. When fractions have the same denominator, they're already the same size pieces! We only count how many pieces we have total by adding numerators.

Q: Do I always keep the same denominator?

Yes! When adding fractions with like denominators, the denominator stays exactly the same. Think of it like adding slices of the same pizza - you count the slices, not change the pizza size.

Q: Should I simplify my answer?

Always check if you can simplify! Look for common factors between the numerator and denominator. In $ \frac{5}{9} $, since 5 and 9 don't share factors, it's already simplified.

Adding Fractions with Same Denominators

$\frac{3}{9}+\frac{2}{9}=$

❤️ 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 Solve

00:04 Add under the common denominator

00:08 Calculate the numerator

00:12 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

$\frac{3}{9}+\frac{2}{9}=$

Step-by-step solution

To solve the problem of adding $\frac{3}{9} + \frac{2}{9}$ , follow these steps:

Step 1: Since both fractions have the same denominator, we can add their numerators directly.
Step 2: Add the numerators: $3 + 2 = 5$ .
Step 3: Use the common denominator for the sum: $\frac{5}{9}$ .

Thus, the sum of $\frac{3}{9}$ and $\frac{2}{9}$ is $\frac{5}{9}$ .

The correct choice from the provided options is $\frac{5}{9}$ .

The final answer is: $\frac{5}{9}$ .

Final Answer

$\frac{5}{9}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators match, add only the numerators together
Technique: Add numerators: $3 + 2 = 5$ , keep denominator 9
Check: Verify $\frac{5}{9}$ cannot simplify further since 5 and 9 share no common factors ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add $\frac{3}{9} + \frac{2}{9}$ as $\frac{5}{18}$ ! Adding denominators creates a completely different fraction size. Always keep the common denominator unchanged when adding fractions with like denominators.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why don't I add the denominators together?

The denominator tells us the size of each piece. When fractions have the same denominator, they're already the same size pieces! We only count how many pieces we have total by adding numerators.

Do I always keep the same denominator?

Yes! When adding fractions with like denominators, the denominator stays exactly the same. Think of it like adding slices of the same pizza - you count the slices, not change the pizza size.

Should I simplify my answer?

Always check if you can simplify! Look for common factors between the numerator and denominator. In $\frac{5}{9}$ , since 5 and 9 don't share factors, it's already simplified.

What if I get an improper fraction?

That's totally fine! If your numerator is larger than the denominator, you can convert to a mixed number if needed, but improper fractions are perfectly valid answers.

How can I visualize this problem?

Picture a circle divided into 9 equal slices. You have 3 slices, then add 2 more slices. You now have 5 out of 9 slices total - that's $\frac{5}{9}$ !

🌟 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