Solve for the Missing Fraction: 2/9 + ? + 5/9 = 8/9

Question

Complete the missing fraction

29++59=89 \frac{2}{9}+_—+\frac{5}{9}=\frac{8}{9}

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
00:09 Let's find the number that completes the numerators to the result numerator
00:15 This is the appropriate number, so we'll substitute it in the unknown numerator
00:18 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Compute the sum of the given fractions 29\frac{2}{9} and 59\frac{5}{9}.
  • Step 2: Subtract the result from the total 89\frac{8}{9} to find the missing fraction.

First, let's compute the sum of the known fractions:

29+59=2+59=79 \frac{2}{9} + \frac{5}{9} = \frac{2 + 5}{9} = \frac{7}{9}

Next, subtract this result from the total sum:

8979=879=19 \frac{8}{9} - \frac{7}{9} = \frac{8 - 7}{9} = \frac{1}{9}

Thus, the missing fraction that completes the equation is 19\frac{1}{9}.

Therefore, the solution to the problem is 19\frac{1}{9}.

Answer

19 \frac{1}{9}