Solve the Addition: 2/5 + 2/5 Step-by-Step

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

The denominator tells you the size of each piece. Since both fractions have pieces of the same size (fifths), you keep that size! You're just counting how many pieces: 2 pieces + 2 pieces = 4 pieces.

Q: What if the denominators were different?

If denominators are different, you need to find a common denominator first. But in this problem, both fractions already have the same denominator (5), so you can add directly!

Q: How can I visualize this problem?

Think of a pizza cut into 5 equal slices. You have 2 slices, then get 2 more slices. Now you have $ \frac{4}{5} $ of the whole pizza!

Q: Is my answer in simplest form?

Yes! $ \frac{4}{5} $ cannot be simplified further because 4 and 5 share no common factors except 1. The fraction is already in lowest terms.

Q: What if I got a different answer choice?

$ \frac{3}{5} $ means you subtracted instead of added$ \frac{1}{5} $ means you subtracted incorrectly$ \frac{2}{5} $ means you forgot to add at all!

Q: Can I convert this to a decimal to check?

Absolutely! $ \frac{4}{5} = 0.8 $ and $ \frac{2}{5} + \frac{2}{5} = 0.4 + 0.4 = 0.8 $. Same answer means you're correct!

Fraction Addition with Common Denominators

Solve the following exercise:

$\frac{2}{5}+\frac{2}{5}=\text{?}$

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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 add the fractions under a common denominator

00:09 Let's calculate the numerator

00:13 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

Solve the following exercise:

$\frac{2}{5}+\frac{2}{5}=\text{?}$

Step-by-step solution

To solve the problem of adding two fractions with a common denominator, we follow these steps:

Step 1: Identify the numerators and denominators. Both fractions are $\frac{2}{5}$ .
Step 2: Since the denominators are the same, add the numerators: $2 + 2 = 4$ .
Step 3: Keep the common denominator: 5.
Step 4: Form the result as a new fraction: $\frac{4}{5}$ .

Therefore, the sum of $\frac{2}{5}$ and $\frac{2}{5}$ is $\frac{4}{5}$ .

The correct choice from the provided options is $\frac{4}{5}$ , which corresponds to choice 4.

Final Answer

$\frac{4}{5}$

Key Points to Remember

Essential concepts to master this topic

Rule: Add numerators when denominators are the same
Technique: Keep denominator 5, add numerators: 2 + 2 = 4
Check: Verify $\frac{4}{5}$ makes sense: 4 parts out of 5 ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add denominators: $\frac{2}{5} + \frac{2}{5} = \frac{4}{10}$ is wrong! Adding denominators changes the size of each piece. 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 together?

The denominator tells you the size of each piece. Since both fractions have pieces of the same size (fifths), you keep that size! You're just counting how many pieces: 2 pieces + 2 pieces = 4 pieces.

What if the denominators were different?

If denominators are different, you need to find a common denominator first. But in this problem, both fractions already have the same denominator (5), so you can add directly!

How can I visualize this problem?

Think of a pizza cut into 5 equal slices. You have 2 slices, then get 2 more slices. Now you have $\frac{4}{5}$ of the whole pizza!

Is my answer in simplest form?

Yes! $\frac{4}{5}$ cannot be simplified further because 4 and 5 share no common factors except 1. The fraction is already in lowest terms.

What if I got a different answer choice?

$\frac{3}{5}$ means you subtracted instead of added
$\frac{1}{5}$ means you subtracted incorrectly
$\frac{2}{5}$ means you forgot to add at all!

Can I convert this to a decimal to check?

Absolutely! $\frac{4}{5} = 0.8$ and $\frac{2}{5} + \frac{2}{5} = 0.4 + 0.4 = 0.8$ . Same answer means you're correct!

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