Solve the Fraction Addition: 4/8 + 3/8 Step by Step

Adding Fractions with Common Denominators

Solve the following exercise:

48+38=? \frac{4}{8}+\frac{3}{8}=\text{?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's add the fractions under a common denominator
00:09 Let's calculate the numerator
00:13 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

Solve the following exercise:

48+38=? \frac{4}{8}+\frac{3}{8}=\text{?}

2

Step-by-step solution

To solve this problem, we'll apply the formula for adding fractions with a common denominator:

Step 1: Add the numerators of the fractions. Since the denominators are already equal, simply add:

  • The numerators: 4+3=74 + 3 = 7.

Step 2: Keep the denominator the same:

  • The denominator remains 8, so the fraction becomes 78\frac{7}{8}.

Therefore, the sum of 48+38 \frac{4}{8} + \frac{3}{8} is 78 \frac{7}{8} .

3

Final Answer

78 \frac{7}{8}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Add numerators, keep the denominator the same
  • Technique: For 48+38 \frac{4}{8}+\frac{3}{8} , calculate 4 + 3 = 7
  • Check: Verify 78 \frac{7}{8} cannot be simplified further ✓

Common Mistakes

Avoid these frequent errors
  • Adding both numerators and denominators
    Don't add 4+3=7 and 8+8=16 to get 716 \frac{7}{16} ! This breaks the fraction rule and gives completely wrong results. Always keep the denominator unchanged when adding fractions with the same denominator.

Practice Quiz

Test your knowledge with interactive questions

\( \frac{2}{4}+\frac{1}{4}= \)\( \)

FAQ

Everything you need to know about this question

Why don't I add the denominators too?

+

The denominator tells us what size pieces we're working with. Since both fractions use eighths, we're just adding more eighths together. Adding denominators would change the piece size!

Do I need to simplify 78 \frac{7}{8} ?

+

No! 78 \frac{7}{8} is already in lowest terms because 7 and 8 share no common factors other than 1.

What if the denominators were different?

+

Then you'd need to find a common denominator first! Convert both fractions to equivalent fractions with the same denominator, then add the numerators.

Can I convert this to a decimal instead?

+

Yes! 78=0.875 \frac{7}{8} = 0.875 . But for exact answers, fractions are often preferred over decimals.

How do I know when fractions have the same denominator?

+

Just look at the bottom numbers! In 48+38 \frac{4}{8}+\frac{3}{8} , both have 8 on the bottom, so they have the same denominator.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations