Solve the Fraction Addition: Finding the Missing Addend in 1/4 + ? = 3/4

Question

Complete the missing fraction

14+=34 \frac{1}{4}+_—=\frac{3}{4}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:04 According to the calculation, we know that the denominator of the unknown equals the given denominator
00:08 Let's find the number that completes the numerator to the result's numerator
00:12 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 sum and known fraction in the equation 14+x=34 \frac{1}{4} + x = \frac{3}{4} .
  • Step 2: Subtract the known fraction from the total sum to find the missing fraction.
  • Step 3: Simplify the result to express the missing fraction clearly.

Now, let's work through each step:
Step 1: We are given that 14+x=34 \frac{1}{4} + x = \frac{3}{4} . Here, x x represents the missing fraction.

Step 2: To isolate x x , we subtract 14 \frac{1}{4} from both sides of the equation:

x=3414 x = \frac{3}{4} - \frac{1}{4}

Step 3: Perform the subtraction. Since both fractions have the same denominator, subtract the numerators:

3414=314=24 \frac{3}{4} - \frac{1}{4} = \frac{3 - 1}{4} = \frac{2}{4}

Therefore, the missing fraction is 24 \frac{2}{4} , which is one of the given answer choices.

Answer

24 \frac{2}{4}