Solve the Fraction Equation: Finding the Missing Term in 7/9 - ? = 2/9

Q: Why do I need to rearrange the equation to solve this?

The equation $ \frac{7}{9} - x = \frac{2}{9} $ has the unknown in the middle. By rearranging to x = 7/9 - 2/9, you can directly calculate the missing fraction!

Q: Can I just guess and check from the answer choices?

While you could try each option, understanding the algebraic method helps you solve any similar problem quickly and builds your math skills for harder equations.

Q: Do the denominators have to be the same for this to work?

Yes! Since both fractions have denominator 9, you can subtract the numerators directly: $ \frac{7-2}{9} = \frac{5}{9} $. If denominators were different, you'd need a common denominator first.

Q: How do I check if my answer is correct?

Substitute your answer back into the original equation. If $ \frac{7}{9} - \frac{5}{9} = \frac{2}{9} $, then your answer is right!

Q: What if I get confused about which fraction to subtract from which?

Look at the equation structure: $ \frac{7}{9} - ? = \frac{2}{9} $. The first fraction minus the unknown equals the result, so unknown = first - result.

Fraction Subtraction with Missing Terms

Complete the missing fraction
$\frac{7}{9}-_{——}=\frac{2}{9}$

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 Notice that the result has the same denominator

00:06 Therefore the unknown will also have the same denominator

00:09 Now let's understand what the unknown is according to the numerators

00:12 Find the unknown, and substitute in the numerator

00:15 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
$\frac{7}{9}-_{——}=\frac{2}{9}$

What is the missing fraction?

Step-by-step solution

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

Step 1: Identify the given fractions and set up the equation based on subtraction.
Step 2: Execute the subtraction to find the missing fraction.

Let's work through these steps:

Step 1: Given the equation $\frac{7}{9} - x = \frac{2}{9}$ , we want to find $x$ .
The equation given is $\frac{7}{9} - x = \frac{2}{9}$ .

Step 2: To find $x$ , rearrange the equation to solve for $x$ :
$x = \frac{7}{9} - \frac{2}{9}$

Step 3: Subtract $\frac{2}{9}$ from $\frac{7}{9}$ :
$x = \frac{7 - 2}{9} = \frac{5}{9}$

Therefore, the missing fraction is $\frac{5}{9}$ .

This matches with the correct answer choice provided in the options.

Final Answer

$\frac{5}{9}$

Key Points to Remember

Essential concepts to master this topic

Rearrangement: Transform subtraction to find missing term using inverse operations
Technique: If a - x = b, then x = a - b: $\frac{7}{9} - \frac{2}{9} = \frac{5}{9}$
Check: Substitute back: $\frac{7}{9} - \frac{5}{9} = \frac{2}{9}$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to find the missing term
Don't add the fractions 7/9 + 2/9 = 9/9! This gives you the wrong operation and an answer not even in the choices. Always remember: if a - x = b, then x = a - b, so subtract the result from the first fraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{8}{5}-\frac{4}{5}=\text{?}$

FAQ

Everything you need to know about this question

Why do I need to rearrange the equation to solve this?

The equation $\frac{7}{9} - x = \frac{2}{9}$ has the unknown in the middle. By rearranging to x = 7/9 - 2/9, you can directly calculate the missing fraction!

Can I just guess and check from the answer choices?

While you could try each option, understanding the algebraic method helps you solve any similar problem quickly and builds your math skills for harder equations.

Do the denominators have to be the same for this to work?

Yes! Since both fractions have denominator 9, you can subtract the numerators directly: $\frac{7-2}{9} = \frac{5}{9}$ . If denominators were different, you'd need a common denominator first.

How do I check if my answer is correct?

Substitute your answer back into the original equation. If $\frac{7}{9} - \frac{5}{9} = \frac{2}{9}$ , then your answer is right!

What if I get confused about which fraction to subtract from which?

Look at the equation structure: $\frac{7}{9} - ? = \frac{2}{9}$ . The first fraction minus the unknown equals the result, so unknown = first - result.

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