Solve Fraction Addition: 2/6 + 3/6 with Visual Grid Method

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

The denominator tells us what size pieces we're working with. Since both fractions use sixths, we're adding pieces of the same size, so the piece size stays the same!

Q: How does the grid help me understand this?

The grid is divided into 6 equal parts. $ \frac{2}{6} $ means 2 parts are shaded, and $ \frac{3}{6} $ means 3 more parts get shaded. Total: 5 shaded parts out of 6!

Q: Do I need to simplify my answer?

It's always good practice! $ \frac{5}{6} $ is already in lowest terms since 5 and 6 share no common factors except 1.

Q: What if the denominators were different?

Then you'd need to find a common denominator first! But when they're the same like here, you can add directly - much easier!

Adding Fractions 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

00:03 Let's color the appropriate number of squares, according to the given data

00:12 Now let's count and add to the numerator in the new fraction

00:16 The denominator equals the number of cells we divided

00:21 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 $\frac{2}{6}$ and $\frac{3}{6}$ , follow these steps:

Step 1: Observe that the denominators of both fractions are identical, which is 6. This means we can add the fractions by simply adding their numerators.
Step 2: Add the numerators: $2 + 3 = 5$ .
Step 3: Use the common denominator, which remains 6, to write the sum: $\frac{5}{6}$ .

Therefore, the sum of $\frac{2}{6}$ and $\frac{3}{6}$ is $\frac{5}{6}$ .

The correct answer to the problem is $\frac{5}{6}$ .

Final Answer

$\frac{5}{6}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators match, add only the numerators together
Technique: Keep denominator 6, add numerators: 2 + 3 = 5
Check: Count colored sections in grid: 5 out of 6 parts ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add 2/6 + 3/6 = 5/12! This creates a completely different fraction that's much smaller than either original fraction. Always keep the same denominator and add only the numerators when denominators match.

Practice Quiz

Test your knowledge with interactive questions

$\frac{2}{4}+\frac{1}{4}=$ $$

FAQ

Everything you need to know about this question

Why don't I add the denominators too?

The denominator tells us what size pieces we're working with. Since both fractions use sixths, we're adding pieces of the same size, so the piece size stays the same!

How does the grid help me understand this?

The grid is divided into 6 equal parts. $\frac{2}{6}$ means 2 parts are shaded, and $\frac{3}{6}$ means 3 more parts get shaded. Total: 5 shaded parts out of 6!

What if I get an answer bigger than 1?

That's totally normal! If your numerator is bigger than your denominator, you have an improper fraction. You can convert it to a mixed number if needed.

Do I need to simplify my answer?

It's always good practice! $\frac{5}{6}$ is already in lowest terms since 5 and 6 share no common factors except 1.

What if the denominators were different?

Then you'd need to find a common denominator first! But when they're the same like here, you can add directly - much easier!

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