Solve the Addition: 1/6 + 1/6 with Like Denominators

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

The denominator tells you what size pieces you're working with. When adding $ \frac{1}{6} + \frac{1}{6} $, you're adding sixths to sixths - the piece size stays the same!

Q: What if the answer could be simplified?

Great thinking! $ \frac{2}{6} $ can be simplified to $ \frac{1}{3} $, but since the multiple choice shows $ \frac{2}{6} $, that's the form they want.

Q: Is there a trick to remember this rule?

"Same bottom, add the top!" When denominators match, you only add the numerators together. The denominator stays exactly the same.

Q: What would happen if the denominators were different?

If denominators were different, you'd need to find a common denominator first. But since both fractions are sixths, you can add directly!

Fraction Addition with Same Denominators

Solve the following exercise:

$\frac{1}{6}+\frac{1}{6}=\text{?}$

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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 divide our whole rectangle into 6 parts

00:07 Let's color the parts corresponding to each fraction

00:11 Let's combine all the colored parts and place in the numerator

00:17 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:

$\frac{1}{6}+\frac{1}{6}=\text{?}$

Step-by-step solution

To solve this problem, let's add the fractions $\frac{1}{6}$ and $\frac{1}{6}$ .

Step 1: Confirm that the denominators are the same, which they are. Both fractions have a denominator of 6.
Step 2: Add the numerators together: $1 + 1 = 2$ .
Step 3: Write the result as a fraction over the common denominator: $\frac{2}{6}$ .

Thus, the sum of $\frac{1}{6} + \frac{1}{6}$ is $\frac{2}{6}$ .

Therefore, the correct answer is choice 3: $\frac{2}{6}$ .

Final Answer

$\frac{2}{6}$

Key Points to Remember

Essential concepts to master this topic

Rule: Add numerators when denominators are the same
Technique: Calculate 1 + 1 = 2, keep denominator 6
Check: Verify two sixths equals one sixth plus one sixth ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add 1/6 + 1/6 as (1+1)/(6+6) = 2/12! This creates a different fraction entirely. Always keep the same denominator and only add the numerators when denominators match.

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 what size pieces you're working with. When adding $\frac{1}{6} + \frac{1}{6}$ , you're adding sixths to sixths - the piece size stays the same!

How can I visualize this problem?

Think of a pizza cut into 6 equal slices. Taking 1 slice plus another 1 slice gives you 2 slices total, but they're still sixths of the whole pizza.

What if the answer could be simplified?

Great thinking! $\frac{2}{6}$ can be simplified to $\frac{1}{3}$ , but since the multiple choice shows $\frac{2}{6}$ , that's the form they want.

Is there a trick to remember this rule?

"Same bottom, add the top!" When denominators match, you only add the numerators together. The denominator stays exactly the same.

What would happen if the denominators were different?

If denominators were different, you'd need to find a common denominator first. But since both fractions are sixths, you can add directly!

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