Solve: Finding the Missing Fraction in 6/10 + ? = 9/10

Q: Why don't I add the denominators together?

When fractions have the same denominator, you're working with the same-sized pieces! Adding denominators would be like changing the piece size, which doesn't make sense. Only add the numerators (top numbers).

Q: How do I know what operation to use to find the missing fraction?

Think of it as a subtraction problem! You need to find what to add to $ \frac{6}{10} $ to get $ \frac{9}{10} $, so calculate $ \frac{9}{10} - \frac{6}{10} $.

Q: What if the denominators were different?

If denominators don't match, you'd need to find a common denominator first! But in this problem, both fractions already have 10 as the denominator, making it much simpler.

Q: Can I simplify the fractions first?

You could simplify, but it's easier to work with the fractions as given when they have the same denominator. $ \frac{6}{10} $ and $ \frac{9}{10} $ are perfect for direct calculation!

Q: How can I check my answer is correct?

Substitute your answer back into the original equation! If $ \frac{6}{10} + \frac{3}{10} = \frac{9}{10} $, then you got it right! The left side should equal the right side.

Fraction Addition with Missing Addends

Complete the missing fraction

$\frac{6}{10}+_—=\frac{9}{10}$

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 unknown denominator equals the given denominator

00:09 Let's find the number that completes the numerator to the result numerator

00:14 This is the correct number, so we'll substitute it in the unknown numerator

00:17 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

$\frac{6}{10}+_—=\frac{9}{10}$

What is the missing fraction?

Step-by-step solution

To find the missing fraction in the equation $\frac{6}{10} + \_ = \frac{9}{10}$ , we proceed as follows:

Step 1: Note that both fractions $\frac{6}{10}$ and $\frac{9}{10}$ have the same denominator (10).
Step 2: We need to find the fraction that, when added to $\frac{6}{10}$ , gives $\frac{9}{10}$ . This means we need to perform subtraction: $\frac{9}{10} - \frac{6}{10}$ .
Step 3: Conduct the subtraction by subtracting the numerators and keeping the denominator the same: $\frac{9 - 6}{10} = \frac{3}{10}$ .

Thus, the missing fraction is $\frac{3}{10}$ .

Therefore, the solution to the problem is $\frac{3}{10}$ .

Final Answer

$\frac{3}{10}$

Key Points to Remember

Essential concepts to master this topic

Same Denominators: When denominators match, work only with numerators
Subtraction Method: Find missing fraction by calculating $\frac{9}{10} - \frac{6}{10} = \frac{3}{10}$
Verification: Check that $\frac{6}{10} + \frac{3}{10} = \frac{9}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Adding denominators instead of keeping them the same
Don't add 6 + ? = 9 AND 10 + 10 = 20 to get $\frac{9}{20}$ ! This creates a completely different fraction with wrong value. Always keep the same denominator and only work with numerators when denominators match.

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 together?

When fractions have the same denominator, you're working with the same-sized pieces! Adding denominators would be like changing the piece size, which doesn't make sense. Only add the numerators (top numbers).

How do I know what operation to use to find the missing fraction?

Think of it as a subtraction problem! You need to find what to add to $\frac{6}{10}$ to get $\frac{9}{10}$ , so calculate $\frac{9}{10} - \frac{6}{10}$ .

What if the denominators were different?

If denominators don't match, you'd need to find a common denominator first! But in this problem, both fractions already have 10 as the denominator, making it much simpler.

Can I simplify the fractions first?

You could simplify, but it's easier to work with the fractions as given when they have the same denominator. $\frac{6}{10}$ and $\frac{9}{10}$ are perfect for direct calculation!

How can I check my answer is correct?

Substitute your answer back into the original equation! If $\frac{6}{10} + \frac{3}{10} = \frac{9}{10}$ , then you got it right! The left side should equal the right side.

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