Solve the Fraction Addition: 2/6 + 3/6 Step by Step

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

The denominator tells you what size pieces you're working with. When adding $ \frac{2}{6} + \frac{3}{6} $, you're adding 2 sixths plus 3 sixths, which gives you 5 sixths - still the same size pieces!

Q: What if the denominators were different?

If denominators are different, you must first find a common denominator before adding. Convert both fractions so they have the same denominator, then add the numerators.

Q: Do I always need to simplify my answer?

It's good practice to check if your answer can be simplified, but $ \frac{5}{6} $ is already in simplest form since 5 and 6 share no common factors other than 1.

Q: How can I visualize this problem?

Think of a pizza cut into 6 equal slices. You take 2 slices, then 3 more slices. You end up with $ \frac{5}{6} $ of the pizza - that's 5 out of 6 slices!

Q: What's the fastest way to add fractions like this?

When denominators are the same, just add the top numbers and keep the bottom number unchanged. It's that simple: $ \frac{a}{c} + \frac{b}{c} = \frac{a+b}{c} $

Fraction Addition with Same Denominators

$\frac{2}{6}+\frac{3}{6}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:02 Let's calculate the numerator and add under the common denominator

00:05 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

$\frac{2}{6}+\frac{3}{6}=$

Step-by-step solution

To solve the problem of adding the fractions $\frac{2}{6} + \frac{3}{6}$ , we'll follow these steps:

Step 1: Since both fractions have the same denominator (6), we can add the numerators directly.
Step 2: Add the numerators: $2 + 3 = 5$ .
Step 3: Place the sum of the numerators over the common denominator: $\frac{5}{6}$ .
Step 4: The fraction $\frac{5}{6}$ is already in simplest form.

Therefore, the solution to the problem is $\frac{5}{6}$ .

Final Answer

$\frac{5}{6}$

Key Points to Remember

Essential concepts to master this topic

Rule: Add numerators when denominators are the same
Technique: Keep denominator unchanged: $\frac{2}{6} + \frac{3}{6} = \frac{2+3}{6}$
Check: Verify answer is in simplest form or can be reduced ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add denominators: $\frac{2}{6} + \frac{3}{6} ≠ \frac{5}{12}$ ! Adding denominators creates a completely different fraction that doesn't represent the correct sum. Always keep the common denominator unchanged and only add the numerators.

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 too?

The denominator tells you what size pieces you're working with. When adding $\frac{2}{6} + \frac{3}{6}$ , you're adding 2 sixths plus 3 sixths, which gives you 5 sixths - still the same size pieces!

What if the denominators were different?

If denominators are different, you must first find a common denominator before adding. Convert both fractions so they have the same denominator, then add the numerators.

Do I always need to simplify my answer?

It's good practice to check if your answer can be simplified, but $\frac{5}{6}$ is already in simplest form since 5 and 6 share no common factors other than 1.

How can I visualize this problem?

Think of a pizza cut into 6 equal slices. You take 2 slices, then 3 more slices. You end up with $\frac{5}{6}$ of the pizza - that's 5 out of 6 slices!

What's the fastest way to add fractions like this?

When denominators are the same, just add the top numbers and keep the bottom number unchanged. It's that simple: $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$

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