Solve the Fraction Addition: 4/10 + 4/10 Step-by-Step

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

The denominator tells you what size pieces you're working with. Since both fractions are tenths, you're adding tenths together - the piece size stays the same!

Q: What if the fractions had different denominators?

Then you'd need to find a common denominator first! Convert both fractions so they have the same denominator, then add the numerators.

Q: Can I simplify 8/10?

Yes! $ \frac{8}{10} = \frac{4}{5} $ when you divide both top and bottom by 2. Both answers are correct, but simplified form is usually preferred.

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

Just look at the bottom numbers! In this problem, both fractions have 10 on the bottom, so they have the same denominator.

Q: Is there a faster way to do this?

Since the fractions are identical, you can think of it as doubling: $ 2 \times \frac{4}{10} = \frac{8}{10} $. This works whenever you're adding the same fraction multiple times!

Fraction Addition with Same Denominators

Solve the following exercise:

$\frac{4}{10}+\frac{4}{10}=\text{?}$

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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

00:07 Let's calculate the numerator

00:11 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:

$\frac{4}{10}+\frac{4}{10}=\text{?}$

Step-by-step solution

To solve this problem, let us proceed with the following steps:

Step 1: Identify the given fractions. We have two fractions: $\frac{4}{10}$ and $\frac{4}{10}$ .
Step 2: Recognize that both fractions have the same denominator, which makes the addition straightforward.
Step 3: Add only their numerators while keeping the common denominator. Therefore, $4 + 4 = 8$ .
Step 4: Write the result with the calculated numerator and common denominator, obtaining $\frac{8}{10}$ .

Based on our calculations, the sum of these fractions is $\frac{8}{10}$ .

This answer matches choice 3 in the options provided.

Final Answer

$\frac{8}{10}$

Key Points to Remember

Essential concepts to master this topic

Same Denominator Rule: Add numerators only, keep denominator unchanged
Technique: $\frac{4}{10} + \frac{4}{10} = \frac{4+4}{10} = \frac{8}{10}$
Check: Convert to decimal: $\frac{8}{10} = 0.8$ and $0.4 + 0.4 = 0.8$ ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add $\frac{4}{10} + \frac{4}{10} = \frac{8}{20}$ ! This creates a completely different fraction value. Always keep the denominator the same when fractions have identical 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 what size pieces you're working with. Since both fractions are tenths, you're adding tenths together - the piece size stays the same!

What if the fractions had different denominators?

Then you'd need to find a common denominator first! Convert both fractions so they have the same denominator, then add the numerators.

Can I simplify 8/10?

Yes! $\frac{8}{10} = \frac{4}{5}$ when you divide both top and bottom by 2. Both answers are correct, but simplified form is usually preferred.

How do I know when fractions have the same denominator?

Just look at the bottom numbers! In this problem, both fractions have 10 on the bottom, so they have the same denominator.

Is there a faster way to do this?

Since the fractions are identical, you can think of it as doubling: $2 \times \frac{4}{10} = \frac{8}{10}$ . This works whenever you're adding the same fraction multiple times!

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