Solve Fraction Addition: 2/8 + 4/8 Step by Step

Fraction Addition with Like Denominators

28+48= \frac{2}{8}+\frac{4}{8}=

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Step-by-step video solution

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00:00 Solve
00:03 Add under the common denominator
00:07 Calculate the numerator
00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

28+48= \frac{2}{8}+\frac{4}{8}=

2

Step-by-step solution

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

  • Step 1: Identify the numerators of the fractions.
  • Step 2: Add the numerators while keeping the denominator the same.
  • Step 3: Simplify the resulting fraction if necessary.

Now, let's work through each step:

Step 1: Identify the numerators.
For the fractions 28 \frac{2}{8} and 48 \frac{4}{8} , the numerators are 2 and 4, respectively.

Step 2: Add the numerators while keeping the denominator the same.
2+4=6 2 + 4 = 6
Thus, the sum is 68 \frac{6}{8} .

Step 3: Simplify the resulting fraction.
The fraction 68 \frac{6}{8} can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2.
6÷28÷2=34 \frac{6 \div 2}{8 \div 2} = \frac{3}{4}

Therefore, the sum of 28+48 \frac{2}{8} + \frac{4}{8} simplifies to 34 \frac{3}{4} . However, according to the problem statement, we only need the unsimplified sum, which is 68 \frac{6}{8} .

If verifying against multiple-choice options, Option 1: 68 \frac{6}{8} is the correct choice.

3

Final Answer

68 \frac{6}{8}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Add numerators when denominators are the same
  • Technique: 2+4=6 2 + 4 = 6 , keeping denominator 8
  • Check: Verify 68=34 \frac{6}{8} = \frac{3}{4} by simplifying ✓

Common Mistakes

Avoid these frequent errors
  • Adding both numerators and denominators
    Don't add 28+48=616 \frac{2}{8} + \frac{4}{8} = \frac{6}{16} ! This changes the value completely because you're changing the size of the pieces. Always keep the denominator the same and only add the numerators.

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?

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The denominator tells you the size of each piece. When adding 28+48 \frac{2}{8} + \frac{4}{8} , you're adding pieces of the same size, so you only count how many pieces total!

Do I always need to simplify my answer?

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It depends on what the question asks for! In this case, 68 \frac{6}{8} was the expected answer, but simplifying to 34 \frac{3}{4} is also mathematically correct.

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 the same denominator (8), making addition much easier.

How do I know if I can simplify the result?

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Check if the numerator and denominator share any common factors. For 68 \frac{6}{8} , both 6 and 8 can be divided by 2, giving us 34 \frac{3}{4} .

Is there a faster way to do this?

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With like denominators, this is already the fastest method! Just add the numerators: 2+4=6 2 + 4 = 6 , then write 68 \frac{6}{8} . That's it!

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