Solve the Fraction Addition: 6/8 + 1/8 with Common Denominators

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

The denominator tells us what size pieces we're working with. Since both fractions use eighths ($ \frac{1}{8} $ pieces), we keep working with eighths. We just add how many eighths we have!

Q: How do I know if my final answer can be simplified?

Check if the numerator and denominator share any common factors. For $ \frac{7}{8} $, since 7 is prime and doesn't divide 8, it's already in simplest form.

Q: Do I always keep the same denominator when adding fractions?

Only when the denominators are already the same! If they're different (like $ \frac{1}{3} + \frac{1}{4} $), you need to find a common denominator first.

Q: Can I use this method for subtracting fractions too?

Yes! The same rule applies: keep the common denominator and subtract the numerators. For example: $ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} $

Fraction Addition with Same Denominators

$\frac{6}{8}+\frac{1}{8}=$

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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 under the common denominator

00:07 Let's calculate the numerator

00:10 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

$\frac{6}{8}+\frac{1}{8}=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the numerators and denominators of both fractions.
Step 2: Since the denominators are the same, add the numerators.
Step 3: Write the result over the common denominator.
Step 4: Simplify the fraction if necessary.

Now, let's work through each step:

Step 1: We have the fractions $\frac{6}{8}$ and $\frac{1}{8}$ , with common denominators of $8$ .

Step 2: Add the numerators: $6 + 1 = 7$ .

Step 3: Write the result over the common denominator: $\frac{7}{8}$ .

Step 4: The fraction $\frac{7}{8}$ is already in its simplest form, as the numerator and denominator have no common factors other than 1.

Therefore, the solution to the problem is $\frac{7}{8}$ .

Final Answer

$\frac{7}{8}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators are equal, add only the numerators together
Technique: $\frac{6}{8} + \frac{1}{8} = \frac{6+1}{8} = \frac{7}{8}$
Check: Verify $\frac{7}{8}$ cannot be simplified further by finding GCD ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add 6+1 in numerator AND 8+8 in denominator = $\frac{7}{16}$ ! This creates a completely different value than the correct answer. Always keep the common denominator unchanged and add only 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 us what size pieces we're working with. Since both fractions use eighths ( $\frac{1}{8}$ pieces), we keep working with eighths. We just add how many eighths we have!

How do I know if my final answer can be simplified?

Check if the numerator and denominator share any common factors. For $\frac{7}{8}$ , since 7 is prime and doesn't divide 8, it's already in simplest form.

What if I get an answer bigger than 1?

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

Do I always keep the same denominator when adding fractions?

Only when the denominators are already the same! If they're different (like $\frac{1}{3} + \frac{1}{4}$ ), you need to find a common denominator first.

Can I use this method for subtracting fractions too?

Yes! The same rule applies: keep the common denominator and subtract the numerators. For example: $\frac{6}{8} - \frac{1}{8} = \frac{5}{8}$

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