Solve the Fraction Addition: 1/4 + 3/4 Step by Step

Fraction Addition with Like Denominators

14+34= \frac{1}{4}+\frac{3}{4}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Let's add under the common denominator
00:09 Let's calculate the numerator
00:13 Any number divided by itself always equals 1
00:16 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

14+34= \frac{1}{4}+\frac{3}{4}=

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Step-by-step solution

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

  • Step 1: Identify the denominators of the fractions.
  • Step 2: Because the denominators are the same, add the numerators.
  • Step 3: Simplify the resulting fraction if necessary.

Now, let's work through each step:
Step 1: Both fractions, 14 \frac{1}{4} and 34 \frac{3}{4} , have the same denominator, 4.
Step 2: Since the denominators are the same, we can add the numerators: 1+3=4 1 + 3 = 4 .
Step 3: The resulting fraction is 44 \frac{4}{4} , which simplifies to 1 1 .

Therefore, the solution to the problem is 1 1 .

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominators match, add only the numerators together
  • Technique: Add numerators: 1 + 3 = 4, keep denominator: 4
  • Check: Verify 44=1 \frac{4}{4} = 1 by simplifying completely ✓

Common Mistakes

Avoid these frequent errors
  • Adding both numerators and denominators
    Don't add 1+3=4 and 4+4=8 to get 48 \frac{4}{8} = wrong answer! This breaks fraction rules and gives incorrect results. Always keep the same denominator and add only the numerators.

Practice Quiz

Test your knowledge with interactive questions

Complete the following exercise:

\( \frac{3}{4}:\frac{5}{6}=\text{?} \)

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. Since both fractions are fourths, you're adding pieces of the same size. Only count how many pieces: 1 fourth + 3 fourths = 4 fourths.

How do I simplify 44 \frac{4}{4} ?

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When the numerator and denominator are the same, the fraction equals 1. Think of it as 4 pieces out of 4 total pieces = the whole thing!

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 (4), so you can add directly!

Can I convert to decimals instead?

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Yes! 14=0.25 \frac{1}{4} = 0.25 and 34=0.75 \frac{3}{4} = 0.75 , so 0.25 + 0.75 = 1.00. But working with fractions is often more precise.

Is there a shortcut for this type of problem?

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Yes! When denominators are the same:

  • Add the top numbers
  • Keep the bottom number
  • Simplify if possible
That's it!

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