What is the sum of 2/9 and 4/9 in simplest form? A. 2/3 B. 1/3 C. 6/18 D. 8/9
The Correct Answer and Explanation is:
The sum of 29\frac{2}{9}92 and 49\frac{4}{9}94 can be calculated by adding the numerators since the denominators are the same.
Step 1: Add the numerators
- The numerators are 2 and 4.
- Add them together: 2+4=62 + 4 = 62+4=6.
Step 2: Keep the denominator the same
- Since the denominators are both 9, the denominator remains 9.
Thus, the sum is:29+49=69\frac{2}{9} + \frac{4}{9} = \frac{6}{9}92+94=96
Step 3: Simplify the fraction
Now, we simplify 69\frac{6}{9}96. To do this, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 3.
- Divide the numerator by 3: 6÷3=26 \div 3 = 26÷3=2.
- Divide the denominator by 3: 9÷3=39 \div 3 = 39÷3=3.
So, 69\frac{6}{9}96 simplifies to:69=23\frac{6}{9} = \frac{2}{3}96=32
Final Answer:
The sum of 29\frac{2}{9}92 and 49\frac{4}{9}94 in simplest form is 23\frac{2}{3}32.
Therefore, the correct answer is A. 23\frac{2}{3}32.
