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

Complete the missing fraction
79——=29 \frac{7}{9}-_{——}=\frac{2}{9}

What is the missing fraction?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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
1

Understand the problem

Complete the missing fraction
79——=29 \frac{7}{9}-_{——}=\frac{2}{9}

What is the missing fraction?

2

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 79x=29 \frac{7}{9} - x = \frac{2}{9} , we want to find x x .
The equation given is 79x=29 \frac{7}{9} - x = \frac{2}{9} .

Step 2: To find x x , rearrange the equation to solve for x x :
x=7929 x = \frac{7}{9} - \frac{2}{9}

Step 3: Subtract 29 \frac{2}{9} from 79 \frac{7}{9} :
x=729=59 x = \frac{7 - 2}{9} = \frac{5}{9}

Therefore, the missing fraction is 59 \frac{5}{9} .

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

3

Final Answer

59 \frac{5}{9}

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( \frac{3}{2}-\frac{1}{2}=\text{?} \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations