Solve the Fraction Problem: 6/5 minus 2/5

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

The denominator tells you the size of each piece. Since both fractions have pieces of the same size (fifths), you only need to subtract how many pieces you have. Think of it like: 6 slices - 2 slices = 4 slices, all from the same pizza!

Q: What if the denominators were different?

If denominators are different, you must first find a common denominator before subtracting. Convert both fractions so they have the same bottom number, then subtract the numerators.

Q: How can I check if my answer is right?

Add your answer back to the second fraction: $ \frac{4}{5} + \frac{2}{5} = \frac{6}{5} $. If you get the first fraction back, you're correct!

Q: Can I simplify the answer further?

Always check if you can simplify! For $ \frac{4}{5} $, since 4 and 5 share no common factors other than 1, it's already in simplest form.

Q: What does it mean that the answer is greater than 1?

Since $ \frac{4}{5} $ is less than 1, but $ \frac{6}{5} $ is greater than 1, we're subtracting a smaller amount from a larger amount. This is perfectly normal in fraction problems!

Fraction Subtraction with Common Denominators

Solve the following exercise:

$\frac{6}{5}-\frac{2}{5}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Subtract from common denominator

00:06 Calculate the numerator

00:09 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:

$\frac{6}{5}-\frac{2}{5}=\text{?}$

Step-by-step solution

Let's solve the problem by carefully following these steps:

Step 1: Identify the numerators and the denominator
The fractions are $\frac{6}{5}$ and $\frac{2}{5}$ . Both fractions have a common denominator of 5, with numerators 6 and 2 respectively.
Step 2: Subtract the numerators
Since the denominators are the same, we can directly subtract the numerators: $6 - 2 = 4$ .
Step 3: Retain the common denominator
The result of the subtraction will have the same denominator, which is 5. Therefore, the resulting fraction is $\frac{4}{5}$ .

Thus, after performing the subtraction, we find that:

$\frac{6}{5} - \frac{2}{5} = \frac{4}{5}$

Therefore, the correct answer to the problem is $\frac{4}{5}$ , which matches the provided choice with ID 4.

Final Answer

$\frac{4}{5}$

Key Points to Remember

Essential concepts to master this topic

Same Denominator Rule: Keep denominator, subtract only the numerators
Technique: Calculate $6 - 2 = 4$ while keeping denominator 5
Check: Verify $\frac{4}{5} + \frac{2}{5} = \frac{6}{5}$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting denominators along with numerators
Don't subtract both parts like $\frac{6}{5} - \frac{2}{5} = \frac{4}{0}$ ! This creates undefined results because you're changing the size of the pieces. Always keep the same denominator and only subtract 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 you the size of each piece. Since both fractions have pieces of the same size (fifths), you only need to subtract how many pieces you have. Think of it like: 6 slices - 2 slices = 4 slices, all from the same pizza!

What if the denominators were different?

If denominators are different, you must first find a common denominator before subtracting. Convert both fractions so they have the same bottom number, then subtract the numerators.

How can I check if my answer is right?

Add your answer back to the second fraction: $\frac{4}{5} + \frac{2}{5} = \frac{6}{5}$ . If you get the first fraction back, you're correct!

Can I simplify the answer further?

Always check if you can simplify! For $\frac{4}{5}$ , since 4 and 5 share no common factors other than 1, it's already in simplest form.

What does it mean that the answer is greater than 1?

Since $\frac{4}{5}$ is less than 1, but $\frac{6}{5}$ is greater than 1, we're subtracting a smaller amount from a larger amount. This is perfectly normal in fraction problems!

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