Solve the Fraction Equation: Finding the Missing Addend in 4/7 + _ = 6/7

Question

Complete the missing fraction

$\frac{4}{7}+_—=\frac{6}{7}$

What is the missing fraction?

00:00 Find the unknown

00:04 According to the calculation, we know that the denominator of the unknown equals the given denominator

00:07 Let's find the number that completes the numerator to match the result's numerator

00:14 And this is the solution to the question

To determine the missing fraction in the equation $\frac{4}{7} + \_\_\_ = \frac{6}{7}$ , we follow these steps:

Step 1: Assume the missing fraction is $\frac{x}{7}$ .
Step 2: Our equation becomes $\frac{4}{7} + \frac{x}{7} = \frac{6}{7}$ .
Step 3: Since the denominators are the same, we equate the numerators: $4 + x = 6$ .
Step 4: Solve for $x$ by subtracting $4$ from both sides: $x = 6 - 4$ .
Step 5: We find $x = 2$ .
Step 6: Substitute $x$ back into the fraction $\frac{x}{7}$ , giving us the missing fraction $\frac{2}{7}$ .

Thus, the missing fraction is $\frac{2}{7}$ .

$\frac{2}{7}$