Solve the Fraction Equation: Finding the Missing Addend in 3/6 + ? = 4/6

Q: Why don't I add the denominators like I do with the numerators?

The denominator tells you the size of the pieces, while the numerator tells you how many pieces you have. When fractions have the same denominator, you're working with pieces of the same size, so you only count how many pieces (numerators) you have total.

Q: How do I solve this if I don't know subtraction?

Think of it like counting: "I have 3 pieces out of 6, and I need 4 pieces out of 6. How many more pieces do I need?" You can count up: 3 + ? = 4, so ? = 1.

Q: What if the missing fraction was at the beginning?

The method is the same! For $ ? + \frac{2}{6} = \frac{5}{6} $, you still subtract: $ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} $.

Q: How do I check my answer?

Simply add your answer to the given fraction: $ \frac{3}{6} + \frac{1}{6} = \frac{4}{6} $. If it equals the result shown in the problem, you're correct! ✓

Fraction Addition with Missing Addend

Complete the missing fraction

$\frac{3}{6}+_—=\frac{4}{6}$

What is the missing fraction?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:03 According to the calculation, we know that the denominator of the unknown equals the given denominator

00:08 Let's find the number that completes the numerator to the result's 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

Understand the problem

Complete the missing fraction

$\frac{3}{6}+_—=\frac{4}{6}$

What is the missing fraction?

Step-by-step solution

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

Step 1: Subtract the original fraction from the resulting fraction.
Step 2: Simplify the resulting fraction if needed.

Now, let's work through each step:

Step 1: Given the equation $\frac{3}{6} + x = \frac{4}{6}$ , we solve for $x$ by subtracting $\frac{3}{6}$ from both sides:
$x = \frac{4}{6} - \frac{3}{6}$ .

Step 2: Compute the subtraction:
Since both fractions have the same denominator, subtract the numerators: $4 - 3 = 1$ . Thus, the fraction is $\frac{1}{6}$ .

Therefore, the missing fraction is $\frac{1}{6}$ .

Final Answer

$\frac{1}{6}$

Key Points to Remember

Essential concepts to master this topic

Same Denominators: Add numerators when denominators are identical
Subtraction Method: $\frac{4}{6} - \frac{3}{6} = \frac{1}{6}$ to find missing fraction
Verification: Check that $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}$ ✓

Common Mistakes

Avoid these frequent errors

Adding denominators together
Don't add denominators like 6 + 6 = 12 = wrong answer! This creates fractions with different denominators that can't be compared. Always keep the same denominator and only add or subtract 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 like I do with the numerators?

The denominator tells you the size of the pieces, while the numerator tells you how many pieces you have. When fractions have the same denominator, you're working with pieces of the same size, so you only count how many pieces (numerators) you have total.

How do I solve this if I don't know subtraction?

Think of it like counting: "I have 3 pieces out of 6, and I need 4 pieces out of 6. How many more pieces do I need?" You can count up: 3 + ? = 4, so ? = 1.

Can I simplify the fractions first?

You can, but it's easier to work with the fractions as given since they already have the same denominator. Simplifying $\frac{3}{6} = \frac{1}{2}$ would make the problem harder!

What if the missing fraction was at the beginning?

The method is the same! For $? + \frac{2}{6} = \frac{5}{6}$ , you still subtract: $\frac{5}{6} - \frac{2}{6} = \frac{3}{6}$ .

How do I check my answer?

Simply add your answer to the given fraction: $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}$ . If it equals the result shown in the problem, you're correct! ✓

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