Solve the Addition: 1/4 + 1/4 Step-by-Step

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

The denominator tells you the size of each piece. When adding $ \frac{1}{4} + \frac{1}{4} $, you're combining pieces of the same size, so the piece size (denominator) stays 4!

Q: Should I simplify my answer?

The question asks for the exact result of the addition. $ \frac{2}{4} $ is the correct answer as shown. While it could simplify to $ \frac{1}{2} $, match the format of the given choices.

Q: What if the fractions had different denominators?

Then you'd need to find a common denominator first! But here, both fractions already have the same denominator (4), making the addition straightforward.

Q: How do I know which answer choice is correct?

Look for $ \frac{2}{4} $ in the choices. This matches our calculation: 2 (sum of numerators) over 4 (same denominator).

Adding Fractions with Same Denominators

Solve the following exercise:

$\frac{1}{4}+\frac{1}{4}=\text{?}$

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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 complete rectangle into 4 parts

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

00:10 Let's combine all the colored parts and place in 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:

$\frac{1}{4}+\frac{1}{4}=\text{?}$

Step-by-step solution

To solve this problem, we'll perform the following steps:

Step 1: Identify the numerators and denominators of the given fractions.
Step 2: Add the numerators while keeping the same denominator.

Now, let's work through each step:
Step 1: The given fractions are $\frac{1}{4}$ and $\frac{1}{4}$ . Both have a denominator of 4 and a numerator of 1.
Step 2: We will add the numerators: $1 + 1 = 2$ , and keep the denominator as 4. This results in $\frac{2}{4}$ .

Therefore, the solution to the problem is $\frac{2}{4}$ . Looking at the choices provided, this matches choice 3: $\frac{2}{4}$ .

Final Answer

$\frac{2}{4}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators match, add numerators and keep same denominator
Technique: For $\frac{1}{4} + \frac{1}{4}$ , calculate 1 + 1 = 2
Check: Verify $\frac{2}{4}$ equals two quarter-pieces of the whole ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add 1+1=2 and 4+4=8 to get $\frac{2}{8}$ = wrong answer! This changes the size of each piece. Always keep the same denominator 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 $\frac{1}{4} + \frac{1}{4}$ , you're combining pieces of the same size, so the piece size (denominator) stays 4!

How can I visualize this problem?

Picture a rectangle divided into 4 equal parts. You take 1 part, then take another 1 part. You now have 2 out of 4 parts, which is $\frac{2}{4}$ !

Should I simplify my answer?

The question asks for the exact result of the addition. $\frac{2}{4}$ is the correct answer as shown. While it could simplify to $\frac{1}{2}$ , match the format of the given choices.

What if the fractions had different denominators?

Then you'd need to find a common denominator first! But here, both fractions already have the same denominator (4), making the addition straightforward.

How do I know which answer choice is correct?

Look for $\frac{2}{4}$ in the choices. This matches our calculation: 2 (sum of numerators) over 4 (same denominator).

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