Solve the Fraction Addition: 0/7 + 3/7 Step-by-Step

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

The denominator tells you what size pieces you're working with. If you have sevenths + sevenths, you're still working with sevenths! Only add the number of pieces (numerators).

Q: What does 0/7 actually mean?

$ \frac{0}{7} $ means zero pieces out of 7 equal parts. It's just 0! So adding 0 + anything gives you that same thing.

Q: What if the denominators were different?

Then you'd need to find a common denominator first! But here both fractions already have the same denominator (7), making the addition straightforward.

Q: How do I check my answer is right?

Think about it: zero sevenths plus three sevenths should give you three sevenths total. You can also convert to decimals: 0 ÷ 7 + 3 ÷ 7 = 0 + 0.429... ≈ 0.429

Fraction Addition with Like Denominators

Solve the following exercise:

$\frac{0}{7}+\frac{3}{7}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Let's add the fractions under a common denominator

00:07 Let's calculate the numerator

00:12 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:

$\frac{0}{7}+\frac{3}{7}=\text{?}$

Step-by-step solution

To solve this problem, let's perform addition of fractions with like denominators:

The given fractions are $\frac{0}{7}$ and $\frac{3}{7}$ .
Since they have the same denominator (7), we add the numerators: $0 + 3$ .
This results in a new numerator of 3, with the denominator remaining 7.
Thus, the sum of the fractions is $\frac{3}{7}$ .

Therefore, the solution to the problem is $\frac{3}{7}$ .

Final Answer

$\frac{3}{7}$

Key Points to Remember

Essential concepts to master this topic

Rule: Add numerators when denominators are the same
Technique: Keep denominator unchanged: $\frac{0}{7} + \frac{3}{7} = \frac{0+3}{7}$
Check: Verify numerator sum equals total parts: 0 + 3 = 3 ✓

Common Mistakes

Avoid these frequent errors

Adding both numerators and denominators
Don't add numerators AND denominators like 0+3=3 and 7+7=14 to get 3/14! This creates a completely different fraction with wrong value. Always keep the denominator the same when adding like fractions.

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 what size pieces you're working with. If you have sevenths + sevenths, you're still working with sevenths! Only add the number of pieces (numerators).

What does 0/7 actually mean?

$\frac{0}{7}$ means zero pieces out of 7 equal parts. It's just 0! So adding 0 + anything gives you that same thing.

Is 3/7 already in simplest form?

Yes! Since 3 and 7 share no common factors (3 is prime and doesn't divide 7), $\frac{3}{7}$ is already fully simplified.

What if the denominators were different?

Then you'd need to find a common denominator first! But here both fractions already have the same denominator (7), making the addition straightforward.

How do I check my answer is right?

Think about it: zero sevenths plus three sevenths should give you three sevenths total. You can also convert to decimals: 0 ÷ 7 + 3 ÷ 7 = 0 + 0.429... ≈ 0.429

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