Solve the Fraction Equation: Finding the Missing Term in 9/5 - ? = 6/5

Q: Why don't I subtract the denominators too?

When fractions have the same denominator, you're working with the same-sized pieces! Think of it like pizza slices - if you have 9 fifths and take away 6 fifths, you still have fifths, just fewer of them.

Q: What if the denominators were different?

If denominators are different, you'd need to find a common denominator first. But in this problem, both fractions already have denominator 5, making it much simpler!

Q: How do I rearrange the equation to find the missing part?

Think of it like this: if $ a - b = c $, then $ b = a - c $. So the missing fraction equals $ \frac{9}{5} - \frac{6}{5} $.

Q: Can I check my answer a different way?

Yes! Try adding your answer to $ \frac{6}{5} $. If you get $ \frac{9}{5} $, then $ \frac{3}{5} + \frac{6}{5} = \frac{9}{5} $ ✓, your answer is correct!

Q: What does the blank line in the original problem mean?

The blank line represents the unknown fraction we need to find. It's like a variable in algebra - we solve for what goes in that empty space to make the equation true.

Fraction Subtraction with Missing Terms

Complete the missing fraction
$\frac{9}{5}-_{——}=\frac{6}{5}$

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 missing fraction

00:03 Since the result's denominator is identical to the fraction, then the unknown's denominator is also identical

00:07 Now let's calculate according to the numerators

00:12 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
$\frac{9}{5}-_{——}=\frac{6}{5}$

What is the missing fraction?

Step-by-step solution

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

Step 1: Restate the equation in terms of subtraction.
Step 2: Perform the subtraction.
Step 3: Verify and simplify, if needed.

Now, let's work through each step:

Step 1: We are given the equation $\frac{9}{5} - \text{(missing fraction)} = \frac{6}{5}$ .

Step 2: To find the missing fraction, rearrange this as subtraction: $\text{Missing fraction} = \frac{9}{5} - \frac{6}{5}$ .

Step 3: Perform the subtraction:

$\text{Missing fraction} = \frac{9}{5} - \frac{6}{5} = \frac{9 - 6}{5} = \frac{3}{5}$ .

Thus, the missing fraction is $\frac{3}{5}$ .

Therefore, the solution to the problem is $\frac{3}{5}$ .

Final Answer

$\frac{3}{5}$

Key Points to Remember

Essential concepts to master this topic

Rule: When fractions have same denominator, subtract numerators only
Technique: Rearrange equation: missing fraction = $\frac{9}{5} - \frac{6}{5}$
Check: Verify by substitution: $\frac{9}{5} - \frac{3}{5} = \frac{6}{5}$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting denominators along with numerators
Don't subtract both numerators and denominators like $\frac{9-6}{5-5} = \frac{3}{0}$ ! This creates undefined results because you can't divide by zero. Always keep the common denominator unchanged and only subtract the numerators.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{3}{2}-\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

Why don't I subtract the denominators too?

When fractions have the same denominator, you're working with the same-sized pieces! Think of it like pizza slices - if you have 9 fifths and take away 6 fifths, you still have fifths, just fewer of them.

What if the denominators were different?

If denominators are different, you'd need to find a common denominator first. But in this problem, both fractions already have denominator 5, making it much simpler!

How do I rearrange the equation to find the missing part?

Think of it like this: if $a - b = c$ , then $b = a - c$ . So the missing fraction equals $\frac{9}{5} - \frac{6}{5}$ .

Can I check my answer a different way?

Yes! Try adding your answer to $\frac{6}{5}$ . If you get $\frac{9}{5}$ , then $\frac{3}{5} + \frac{6}{5} = \frac{9}{5}$ ✓, your answer is correct!

What does the blank line in the original problem mean?

The blank line represents the unknown fraction we need to find. It's like a variable in algebra - we solve for what goes in that empty space to make the equation true.

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