Solve Fraction Addition: 2/8 + 3/8 Step-by-Step

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

The denominator tells you the size of each piece. When adding $ \frac{2}{8} + \frac{3}{8} $, you're adding 2 eighths plus 3 eighths, which gives you 5 eighths. The pieces stay the same size!

Q: How do I know when fractions have the same denominator?

Just look at the bottom numbers! In $ \frac{2}{8} + \frac{3}{8} $, both fractions have 8 as the denominator, so they're the same.

Q: Do I need to simplify my answer?

Always check if you can simplify! For $ \frac{5}{8} $, since 5 and 8 share no common factors other than 1, it's already in simplest form.

Q: Can I use this method for any fractions?

This method only works when denominators are identical. If denominators are different, you must first find a common denominator before adding.

Fraction Addition with Same Denominators

$\frac{2}{8}+\frac{3}{8}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 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

$\frac{2}{8}+\frac{3}{8}=$

Step-by-step solution

To solve this problem, we'll add the fractions $\frac{2}{8}$ and $\frac{3}{8}$ . Because the fractions have the same denominator, we use the following approach:

Step 1: Confirm the denominators are the same. In this case, both are 8.
Step 2: Add the numerators: $2 + 3 = 5$ .
Step 3: Combine the result into a single fraction using the common denominator:
$\frac{5}{8}$ .

Therefore, the solution to the problem is $\frac{5}{8}$ .

Final Answer

$\frac{5}{8}$

Key Points to Remember

Essential concepts to master this topic

Same Denominators: Add numerators only, keep denominator unchanged
Technique: Add numerators: $2 + 3 = 5$ , denominator stays 8
Check: Verify by converting to decimals: $\frac{5}{8} = 0.625$ ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add denominators together like $\frac{2}{8} + \frac{3}{8} = \frac{5}{16}$ ! This creates a wrong fraction that doesn't represent the actual sum. Always keep the denominator the same when fractions have matching 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 too?

The denominator tells you the size of each piece. When adding $\frac{2}{8} + \frac{3}{8}$ , you're adding 2 eighths plus 3 eighths, which gives you 5 eighths. The pieces stay the same size!

How do I know when fractions have the same denominator?

Just look at the bottom numbers! In $\frac{2}{8} + \frac{3}{8}$ , both fractions have 8 as the denominator, so they're the same.

What if I get a fraction bigger than 1?

That's totally normal! If your numerator becomes larger than the denominator, you can convert it to a mixed number or leave it as an improper fraction - both are correct.

Do I need to simplify my answer?

Always check if you can simplify! For $\frac{5}{8}$ , since 5 and 8 share no common factors other than 1, it's already in simplest form.

Can I use this method for any fractions?

This method only works when denominators are identical. If denominators are different, you must first find a common denominator before adding.

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