Solve the Fraction Equation: Finding the Missing Addend in 2/9 + ? = 2/3

Question

29+?=23 \frac{2}{9}+?=\frac{2}{3}

Video Solution

Solution Steps

00:00 Find the unknown
00:03 Let's arrange the equation and isolate the unknown
00:16 We want to find the least common denominator
00:22 Multiply by 3 to find the common denominator
00:26 Remember to multiply both numerator and denominator
00:34 Calculate the products
00:38 Add under the common denominator
00:43 Calculate the numerator
00:46 And this is the solution to the question

Step-by-Step Solution

To find the missing fraction in the equation 29+?=23 \frac{2}{9} + ? = \frac{2}{3} , we will perform the following steps:

  • Step 1: Convert the fraction 23 \frac{2}{3} to have the same denominator as 29 \frac{2}{9} .
  • Step 2: Subtract 29 \frac{2}{9} from the new fraction.

Let's execute these steps:
Step 1: Convert 23\frac{2}{3} into a fraction with a denominator of 9. To do this, multiply both the numerator and the denominator of 23\frac{2}{3} by 3 to obtain an equivalent fraction:
23×33=69\frac{2}{3} \times \frac{3}{3} = \frac{6}{9}

Step 2: Subtract 29\frac{2}{9} from 69\frac{6}{9}:
6929=49\frac{6}{9} - \frac{2}{9} = \frac{4}{9}

Thus, the fraction that we need to add to 29\frac{2}{9} to get 23\frac{2}{3} is 49\frac{4}{9}.

The correct answer to the problem is 49\frac{4}{9}.

Answer

49 \frac{4}{9}