Solve the Fraction Addition: 1/5 + 0/5 Step by Step

Q: Why is 0/5 equal to zero?

Any fraction with zero in the numerator equals zero! Think of it this way: if you have 0 pieces out of 5 total pieces, you have nothing at all.

Q: What happens when I add zero to a fraction?

Adding zero to any number or fraction leaves it completely unchanged! This is called the Zero Property of Addition: a + 0 = a.

Q: Do I still need to add the numerators even with zero?

Yes! Always follow the same steps: add the numerators (1 + 0 = 1) and keep the same denominator (5). This keeps your method consistent.

Q: Could the answer be a bigger fraction like 2/5?

No! Since you're adding zero, the result must be the same as what you started with. $ \frac{1}{5} + 0 = \frac{1}{5} $, not bigger.

Q: How can I visualize this problem?

Imagine a rectangle divided into 5 equal parts. You shade 1 part ($ \frac{1}{5} $) and add 0 more shaded parts ($ \frac{0}{5} $). You still have just 1 shaded part!

Fraction Addition with Zero Numerator

Solve the following exercise:

$\frac{1}{5}+\frac{0}{5}=\text{?}$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 5 parts

00:07 A fraction with 0 in the numerator is always equal to 0

00:11 Let's color the parts corresponding to each fraction

00:15 Let's add all the colored parts and put them in the numerator

00:21 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:

$\frac{1}{5}+\frac{0}{5}=\text{?}$

Step-by-step solution

To solve the problem $\frac{1}{5} + \frac{0}{5}$ , we will follow these steps:

Step 1: Observe that both fractions have the same denominator which is 5.
Step 2: Add the numerators: $1 + 0 = 1$ .
Step 3: Keep the denominator unchanged, which is 5.

Now, performing these steps:
- Since the denominators are the same, we simply add the numerators: $1 + 0 = 1$ .
- Therefore, the resulting fraction is $\frac{1}{5}$ .

Hence, the answer to the problem is $\frac{1}{5}$ .

Final Answer

$\frac{1}{5}$

Key Points to Remember

Essential concepts to master this topic

Same Denominator Rule: Add numerators when denominators are identical
Addition Technique: Calculate 1 + 0 = 1, keep denominator 5
Zero Property Check: Adding zero to any fraction leaves it unchanged ✓

Common Mistakes

Avoid these frequent errors

Thinking zero changes the result
Don't assume adding $\frac{0}{5}$ makes the answer bigger = $\frac{2}{5}$ or $\frac{3}{5}$ ! Zero added to anything equals the original number. Always remember that $\frac{0}{5} = 0$ , so the sum stays $\frac{1}{5}$ .

Practice Quiz

Test your knowledge with interactive questions

$$ $\frac{4}{5}+\frac{1}{5}=$

FAQ

Everything you need to know about this question

Why is 0/5 equal to zero?

Any fraction with zero in the numerator equals zero! Think of it this way: if you have 0 pieces out of 5 total pieces, you have nothing at all.

What happens when I add zero to a fraction?

Adding zero to any number or fraction leaves it completely unchanged! This is called the Zero Property of Addition: a + 0 = a.

Do I still need to add the numerators even with zero?

Yes! Always follow the same steps: add the numerators (1 + 0 = 1) and keep the same denominator (5). This keeps your method consistent.

Could the answer be a bigger fraction like 2/5?

No! Since you're adding zero, the result must be the same as what you started with. $\frac{1}{5} + 0 = \frac{1}{5}$ , not bigger.

How can I visualize this problem?

Imagine a rectangle divided into 5 equal parts. You shade 1 part ( $\frac{1}{5}$ ) and add 0 more shaded parts ( $\frac{0}{5}$ ). You still have just 1 shaded part!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime