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

00:08 Let's find the missing number.
00:11 We know the unknown denominator equals the given denominator.
00:17 Now, let's identify the number that matches our numerators.
00:23 That's the number we need, so we'll use it in our numerator.
00:26 And that's how we solve this problem!

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}