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:
To find the sum of 2/9 and 4/9, we simply add the two fractions since they have the same denominator.
Step 1: Add the numerators.
The numerators are 2 and 4, and the denominator remains 9. So:29+49=2+49=69\frac{2}{9} + \frac{4}{9} = \frac{2 + 4}{9} = \frac{6}{9}92+94=92+4=96
Step 2: Simplify the fraction.
Now, we simplify 6/9. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 6 and 9 is 3.
We divide both the numerator and denominator by 3:69=6÷39÷3=23\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}96=9÷36÷3=32
Final Answer:
The simplified form of the sum 6/9 is 2/3. Therefore, the correct answer is A. 2/3.
Why this works:
When adding fractions, it’s important that the denominators are the same. Since both fractions had the same denominator (9), we could add them directly. After performing the addition, we simplified the result to its lowest terms by dividing the numerator and the denominator by their greatest common factor.
