Solve the Fraction Subtraction: 6/7 minus 2/7

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

The denominator tells us what type of pieces we're working with. Since we have sevenths minus sevenths, we're still working with sevenths! Only the number of pieces changes.

Q: What if the numerators were the same?

If you had $ \frac{5}{7} - \frac{5}{7} $, the answer would be $ \frac{0}{7} = 0 $. You'd have zero sevenths, which equals zero!

Q: Do I need to simplify my answer?

$ \frac{4}{7} $ is already in lowest terms since 4 and 7 share no common factors except 1. Always check if your answer can be simplified further.

Q: What if I get a negative result?

If the first numerator is smaller, like $ \frac{2}{7} - \frac{5}{7} $, you'd get $ \frac{-3}{7} $. Negative fractions are perfectly valid answers!

Fraction Subtraction with Same Denominators

Solve the following exercise:

$\frac{6}{7}-\frac{2}{7}=\text{?}$

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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 we'll subtract (remove) the number of squares according to the corresponding fraction

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

00:16 The denominator of the answer equals the number of parts we divided the whole into

00:19 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:

$\frac{6}{7}-\frac{2}{7}=\text{?}$

Step-by-step solution

The problem requires us to find the result of subtracting two fractions with the same denominator: $\frac{6}{7} - \frac{2}{7}$ .

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

Step 1: Identify that the fractions have the same denominator, which is 7.
Step 2: Subtract the numerators: $6 - 2$ .
Step 3: Place the result of the subtraction over the unchanged denominator.

Let's work through each step:

Step 1: Observe that $\frac{6}{7}$ and $\frac{2}{7}$ both have a denominator of 7.

Step 2: Subtract the numerators: $6 - 2 = 4$ .

Step 3: Place the result over the original denominator: $\frac{4}{7}$ .

Therefore, the solution to the problem is $\frac{4}{7}$ .

Final Answer

$\frac{4}{7}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators are equal, subtract only the numerators
Technique: Keep denominator 7, calculate $6 - 2 = 4$
Check: Verify $\frac{4}{7} + \frac{2}{7} = \frac{6}{7}$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting denominators along with numerators
Don't subtract both parts: $\frac{6}{7} - \frac{2}{7} = \frac{4}{5}$ = wrong answer! This creates a completely different fraction. Always keep the common denominator unchanged and subtract only the numerators.

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

Why don't I subtract the denominators too?

The denominator tells us what type of pieces we're working with. Since we have sevenths minus sevenths, we're still working with sevenths! Only the number of pieces changes.

What if the numerators were the same?

If you had $\frac{5}{7} - \frac{5}{7}$ , the answer would be $\frac{0}{7} = 0$ . You'd have zero sevenths, which equals zero!

Do I need to simplify my answer?

$\frac{4}{7}$ is already in lowest terms since 4 and 7 share no common factors except 1. Always check if your answer can be simplified further.

What if I get a negative result?

If the first numerator is smaller, like $\frac{2}{7} - \frac{5}{7}$ , you'd get $\frac{-3}{7}$ . Negative fractions are perfectly valid answers!

How can I visualize this problem?

Think of a pizza cut into 7 slices. You start with 6 slices, eat 2 slices, and you have 4 slices left. That's $\frac{4}{7}$ of the pizza!

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