Solve: Find the Missing Fraction in 2/12 + ? + 3/12 = 9/12

Question

Complete the missing fraction

212++312=912 \frac{2}{12}+_—+\frac{3}{12}=\frac{9}{12}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:03 According to the calculation, we know that the unknown denominator equals the given denominator
00:07 Let's find the number that completes the numerator to match the result's numerator
00:11 This is the correct number, so we'll substitute it in the unknown numerator
00:14 And this is the solution to the question

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Add the known fractions: We first add the fractions given on the left-hand side. So, 212+312=512 \frac{2}{12} + \frac{3}{12} = \frac{5}{12} .
  • Step 2: Subtract this sum from the total: We know the sum of all the fractions is 912 \frac{9}{12} . To find the missing fraction, we need to calculate 912512 \frac{9}{12} - \frac{5}{12} .
  • Step 3: Perform the subtraction: Since the fractions have the same denominator, subtract numerators: 9512=412 \frac{9 - 5}{12} = \frac{4}{12} .
  • Step 4: Verify your solution: Verify by adding all fractions including the missing one: 212+412+312=912 \frac{2}{12} + \frac{4}{12} + \frac{3}{12} = \frac{9}{12} , which confirms our answer.

Therefore, the missing fraction is 412 \frac{4}{12} .

Answer

412 \frac{4}{12}