Solve the Fraction Equation: 8/5 minus 4/5

Fraction Subtraction with Same Denominators

Solve the following exercise:

8545=? \frac{8}{5}-\frac{4}{5}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem.
00:09 First, mark down the number of squares for the first fraction.
00:15 Remember, we need to subtract the second fraction.
00:18 So, erase the same amount that represents the second fraction.
00:24 And that's how we find 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:

8545=? \frac{8}{5}-\frac{4}{5}=\text{?}

2

Step-by-step solution

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

  • Step 1: Confirm the fractions have the same denominator. Here, both denominators are 5.
  • Step 2: Subtract the numerators of the fractions: 84 8 - 4 .
  • Step 3: Write the result over the common denominator: 45 \frac{4}{5} .

Now, let's calculate:
Step 1: Both fractions 85 \frac{8}{5} and 45 \frac{4}{5} have a common denominator of 5.
Step 2: Subtract the numerators: 84=4 8 - 4 = 4 .
Step 3: Place the result over the common denominator: 45 \frac{4}{5} .

Therefore, the solution to the problem is 45\mathbf{\frac{4}{5}}.

3

Final Answer

45 \frac{4}{5}

Key Points to Remember

Essential concepts to master this topic
  • Same Denominator Rule: Keep the denominator and subtract numerators only
  • Technique: 84=4 8 - 4 = 4 then place over 5
  • Check: Verify 8545=45 \frac{8}{5} - \frac{4}{5} = \frac{4}{5} by adding back ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting both numerators AND denominators
    Don't subtract 8-4 AND 5-5 = 4/0! This creates undefined fractions and completely wrong answers. Always keep the same denominator and only subtract the numerators.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( \frac{8}{5}-\frac{4}{5}=\text{?} \)

FAQ

Everything you need to know about this question

Why don't I subtract the denominators too?

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When fractions have the same denominator, you're working with the same-sized pieces! Think of it like pizza slices - if you have 8 fifths and take away 4 fifths, you still have fifths, just fewer of them.

What if the denominators were different?

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Then you'd need to find a common denominator first! But here both fractions already have 5 as the denominator, so we can subtract directly.

How do I check if my answer is correct?

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Add your answer back to the second fraction: 45+45=85 \frac{4}{5} + \frac{4}{5} = \frac{8}{5} . If you get the first fraction, you're right!

Can I convert these to decimals instead?

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You could, but it's often easier to work with fractions directly. Plus, 45 \frac{4}{5} is the exact answer while 0.8 is just an approximation.

What if I get a bigger numerator than denominator?

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That's called an improper fraction and it's perfectly valid! You can convert it to a mixed number if needed, but improper fractions are often easier to work with.

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