Solve the Fraction Problem: 2/5 - 0/5 Step-by-Step

Q: What happens when I subtract a fraction with zero in the numerator?

Subtracting zero from any number leaves it unchanged! So $ \frac{2}{5} - \frac{0}{5} = \frac{2}{5} $ because you're taking away nothing.

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

The denominator tells you what size pieces you're working with. Since both fractions use fifths, you keep working in fifths throughout the problem.

Q: Is zero over five the same as just zero?

Yes! $ \frac{0}{5} = 0 $ because zero divided by any non-zero number equals zero. So you're really computing $ \frac{2}{5} - 0 $.

Q: How do I check if my answer is correct?

Add your answer back to what you subtracted: $ \frac{2}{5} + \frac{0}{5} $ should equal the original $ \frac{2}{5} $ ✓

Q: What if the denominators were different?

You'd need to find a common denominator first, then convert both fractions before subtracting. Lucky for you, these already have the same denominator!

Fraction Subtraction with Zero Numerators

Solve the following exercise:

$\frac{2}{5}-\frac{0}{5}=\text{?}$

❤️ 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 First, let's mark the number of squares we have according to the given data:

00:06 Now subtract (delete) the number of squares according to the corresponding fraction

00:09 0 divided by any number always equals 0

00:12 The remaining number of squares is the numerator of the answer

00:15 The denominator of the answer equals the number of parts we divided the whole into

00:18 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:

$\frac{2}{5}-\frac{0}{5}=\text{?}$

Step-by-step solution

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

Step 1: Identify the fractions involved: $\frac{2}{5}$ and $\frac{0}{5}$ .
Step 2: Subtract the numerators: $2 - 0$ .
Step 3: Place the result over the common denominator.

Now, let's work through each step:
Step 1: The fractions are $\frac{2}{5}$ and $\frac{0}{5}$ with a common denominator of 5.
Step 2: Since the denominators are the same, we subtract the numerators: $2 - 0 = 2$ .
Step 3: Write the result over the common denominator: $\frac{2}{5}$ .

Therefore, the solution to the problem is $\frac{2}{5}$ .

Final Answer

$\frac{2}{5}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators are equal, subtract only the numerators
Technique: Subtracting zero gives $2 - 0 = 2$ over denominator 5
Check: Verify that $\frac{2}{5} - \frac{0}{5} = \frac{2}{5}$ by adding back ✓

Common Mistakes

Avoid these frequent errors

Subtracting denominators along with numerators
Don't subtract both numerators AND denominators like $\frac{2-0}{5-5} = \frac{2}{0}$ = undefined! This creates division by zero which is impossible. Always keep the common denominator unchanged when subtracting fractions.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{3}{2}-\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

What happens when I subtract a fraction with zero in the numerator?

Subtracting zero from any number leaves it unchanged! So $\frac{2}{5} - \frac{0}{5} = \frac{2}{5}$ because you're taking away nothing.

Why don't I subtract the denominators too?

The denominator tells you what size pieces you're working with. Since both fractions use fifths, you keep working in fifths throughout the problem.

Is zero over five the same as just zero?

Yes! $\frac{0}{5} = 0$ because zero divided by any non-zero number equals zero. So you're really computing $\frac{2}{5} - 0$ .

How do I check if my answer is correct?

Add your answer back to what you subtracted: $\frac{2}{5} + \frac{0}{5}$ should equal the original $\frac{2}{5}$ ✓

What if the denominators were different?

You'd need to find a common denominator first, then convert both fractions before subtracting. Lucky for you, these already have the same denominator!

🌟 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