Solve the Fraction Subtraction: 8/5 minus 6/5

Fraction Subtraction with Same Denominators

Solve the following exercise:

8565=? \frac{8}{5}-\frac{6}{5}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve this problem together.
00:10 First, find the common denominator. Then, subtract the fractions.
00:15 Now, calculate the numerator. Double-check your math.
00:19 Great job! That's the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

8565=? \frac{8}{5}-\frac{6}{5}=\text{?}

2

Step-by-step solution

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

  • Step 1: Subtract the numerators.
  • Step 2: Keep the common denominator.
  • Step 3: Simplify the result if possible.

Now, let's work through each step:
Step 1: The numerators are 8 and 6. Subtract them: 86=2 8 - 6 = 2 .
Step 2: The common denominator is 5, so the fraction becomes 25 \frac{2}{5} .
Step 3: Since 25 \frac{2}{5} is already in its simplest form, no further simplification is necessary.

Therefore, the solution to the problem is 25 \frac{2}{5} .

3

Final Answer

25 \frac{2}{5}

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominators are equal, subtract only the numerators
  • Technique: Keep denominator 5, subtract numerators: 8 - 6 = 2
  • Check: Verify 25 \frac{2}{5} is simplified and cannot reduce further ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting denominators along with numerators
    Don't subtract denominators: 856520 \frac{8}{5} - \frac{6}{5} ≠ \frac{2}{0} ! This creates undefined results or wrong answers. Always keep the common denominator unchanged when subtracting fractions with same denominators.

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?

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The denominator tells you what size pieces you're working with. Since both fractions have fifths, you're subtracting fifths from fifths. Only the number of pieces changes, not the size!

What if I get a negative answer?

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Negative answers are perfectly valid! If you're subtracting a larger numerator from a smaller one, like 3575=45 \frac{3}{5} - \frac{7}{5} = \frac{-4}{5} , that's correct.

Do I always keep the same denominator?

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Yes! When fractions have the same denominator, the denominator stays exactly the same. You only work with the numerators in the subtraction.

How do I know if my answer needs to be simplified?

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Check if the numerator and denominator share any common factors. In this case, 2 and 5 share no common factors, so 25 \frac{2}{5} is already simplified!

What's the difference between adding and subtracting fractions?

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The process is identical when denominators are the same! Add numerators for addition, subtract numerators for subtraction. The denominator always stays the same.

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