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

Question

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

What is the missing fraction?

Video Solution

Solution Steps

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 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.

Answer

59 \frac{5}{9}